Introduction

Manipulation of electric charge in semiconductor materials and their heterostructures has led to the advent of electronic and optoelectronic devices.1 Computers, TVs and smartphone devices are some of the great results of this technology.2 The miniaturization of electronic components such as transistors and capacitors in integrated circuits is central to the modern electronic device boom.3,4 A transistor and capacitor are paired together to create a memory cell, which represents a single bit of data.5 The capacitor holds the bit of information as 0 (low voltage level) or 1 (high voltage level). The transistor acts as a switch that lets the control circuitry on the memory chip read the capacitor or change its state. Recently, this technology has faced some obstacles related to transistor node size, energy consumption and volatility of data.4,6,7,8 Currently, the transistor node size reaches 5 nm with the highest transistor density of 171.3 million.9,10 Atomic size is an insurmountable obstacle limit for transistor node minimization. In RAM, the capacitors must be re-charged continuously to retain data, which consume more energy.8 Also, if the electronic device's power is cut off, the information stored in the RAM is lost.8 Spintronics is new technology emerging to solve the problems existing in conventional electronic devices.11,12 Spintronics is based on manipulation of electron spin instead of electric charge in bulk semiconductors to process and store information in a single chip,13 as illustrated in Fig. 1.

Fig. 1
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Connected view demonstrating the basic concept of transfer from electronics to spintronics technologies.

In the twenty-first century, it is anticipated that the spin degree of freedom in semiconductors will play a crucial role in the development of information technologies.1 This new technology requires semiconductor materials with special magnetic properties.14,15 Combining information processing and storage in a single chip requires coupling of semiconducting and magnetic properties in a single material at room temperature.14,15 Diluted magnetic oxide semiconductors are a special class of magnetic semiconductor materials which are strong candidates to satisfy the requirements for spintronic device fabrication.16,17,18 The expected way to obtain these materials is to add magnetic ions (Mn, Fe, Co, Ni) to semiconductor materials. Indeed, in 2000, a big boost to the experimental efforts to realize room temperature ferromagnetic semiconductor was reported in a theoretical work provided by Dietl et al., in which they predicted room temperature ferromagnetism in Mn-doped ZnO and GaN.19 This discovery led to a series of experimental efforts to confirm the possibility of inducing room temperature ferromagnetism in TiO2 and ZnO via transition metal doping. Experimentally, in 2001 and 2002, real room temperature ferromagnetic behavior was reported in Co-doped TiO2,20 Co-doped ZnO,21 V-doped ZnO,22 Fe/Cu-codoped ZnO,23 Co/Fe-codoped ZnO.24 Later, these results lead to extensive research activities focusing on diluted magnetic oxide semiconductors (DMOSs), aiming to understand the mechanisms involved and to design better materials suitable for practical applications.25,26,27 However, the major obstacle in magnetic ion-doped semiconductors is that the transition metal dopant can undergo a segregation to form magnetic-clusters or secondary phases. As a result, there is much debate about whether the observed room temperature ferromagnetism is an intrinsic or extrinsic property of the material. The magnetic clusters and secondary phases are big problems facing the practical applications which need stable ferromagnetic properties from an intrinsic single-phase structure.

Interesting results ruled out the role of magnetic secondary phases or impurities in magnetic clusters have emerged during work on these materials.28,29,30,31 Room temperature ferromagnetism is observed in undoped nanostructured semiconductor oxides with d0 or f0 configuration and nonmagnetic dopants can induce room temperature ferromagnetism in nonmagnetic materials. These two interesting results completely eliminate the role of magnetic clusters or a secondary phase, which assists in realizing the practical applications. Many scientists work to realize strong room temperature ferromagnetism with suitable magnetic parameters in undoped semiconductor oxides or by means of using nonmagnetic dopants. Synthesis, site engineering by nonmagnetic dopants, annealing under different atmospheres, and thin film modifications represent the basic techniques in realizing strong room temperature ferromagnetism. Lately, two-dimensional (2D) materials also have been drawing tremendous attention in the spintronics field due to their unique spin-dependent properties such as the ultra-long spin relaxation time of graphene and the spin–valley locking of transition metal dichalcogenides.32,33,34 Furthermore, the related heterostructures can provide an extraordinary probability of merging the different characteristics through a proximity effect, which could solve the limitation present in individual two-dimensional structures. Therefore, proximity engineering has been growing extremely fast and has made significant achievements in spin injection and manipulation.32,33,34

In this review we will focus on the room temperature ferromagnetism induced via defects or through using nonmagnetic dopants in semiconductor oxides. In the fundamentals sections, we present full representation to room temperature ferromagnetism in undoped semiconductor oxides with clear classification of nonmagnetic dopants used to induce or improve room temperature ferromagnetism in nonmagnetic oxides materials.

Non-Traditional Room Temperature Ferromagnetism

Traditionally, magnetism has a similar origin in all magnetic materials; it is defdined as the presence of localized electrons in the partially filled d- or f-orbitals of transition or rare earth elements, which have a corresponding localized spin or magnetic moment. The exchange interactions between the localized moments lead to magnetic order. It is expected that there is no magnetism in the presence of d0 or f0 configuration or through addition of a nonmagnetic dopant to a nonmagnetic material. This is not the truth; interestingly, nanostructures of undoped semiconductor oxides exhibit a room temperature ferromagnetic hysteresis loop, and nonmagnetic dopants have shown the ability to induce or enhance magnetic properties in nonmagnetic material.28,29,30,31 The importance of room temperature ferromagnetic behavior in undoped semiconductor oxides, or due to nonmagnetic dopants, is the exclusion of the influence of ferromagnetic impurities which may be formed as a result of use of magnetic transition elements.

The experimental observations of these interesting results started in 2004 and 2005 and developed with time to include more undoped nanostructured materials and new families of nonmagnetic dopants.35,36 Figure 2 demonstrates the classification of nonmagnetic materials and nonmagnetic dopants related to room temperature ferromagnetism; the tree shape symbolizes the continuous growth of these materials. Herein, two separate parts about these results were reviewed in detail with the aim of creating a comprehensive picture to help researchers access their technological applications.

Fig. 2
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Room temperature ferromagnetism in undoped nonmagnetic materials or due to nonmagnetic dopants; the tree symbolizes continuous growth.

Room Temperature Ferromagnetism: Undoped Semiconductor Oxides

The first mention of room temperature ferromagnetism in nonmagnetic undoped semiconductor oxides was reported on HfO2 films by Venkatesan et al. in 2004.35 These films exhibit room temperature ferromagnetism with measured Curie temperature exceeding 227°C and a magnetic moment of around 0.15 bohr magnetons per HfO2 formula unit. The same group reported a more detailed study on films of different thicknesses, obtained by pulsed-laser deposition under different conditions and on different substrates.37 For all these undoped films the Curie temperatures were found far beyond 400 K. However, it turns out that the value of the magnetic moment does not depend clearly on either the film thickness or the type of the substrate. Apparently, the moments are unstable over extended periods of time. Indeed, a decrease of about 10% of the moment is observed after 6 months.

In 2006, Hong et al. reported remarkable room temperature ferromagnetism in undoped TiO2, HfO2, and In2O3 thin films.38 As mentioned by the authors, In2O3 thin films exhibit a modest magnetic moment when prepared on MgO substrates while those deposited on Al2O3 substrates have a negative diamagnetism. In contrast, TiO2 and HfO2 thick films (200 nm) showed large magnetic moments of 20 and 30 emu/cm3, respectively. Since bulk TiO2, HfO2, and In2O3 are clearly diamagnetic, the authors attributed this behavior to defects or oxygen vacancies present in the thin film form of these oxides. Interestingly, in the same year, Sundaresan et al. stated that the ferromagnetism can be considered a universal phenomenon of nanoparticles of the otherwise nonmagnetic oxides.28 In their study, CeO2, Al2O3, ZnO, In2O3, and SnO2 nanoparticles with diameters between 7 and 30 nm revealed room-temperature ferromagnetism. Furthermore, the saturated magnetic moments of CeO2 and Al2O3 nanoparticles are comparable to those observed in transition metal-doped wide band semiconducting oxides. ZnO, In2O3, and SnO2 nanoparticles show somewhat lower values of magnetization but with a clear hysteretic behavior. Conversely, the bulk samples obtained by sintering the nanoparticles at high temperatures in air or oxygen became diamagnetic. As there were no magnetic impurities present, the authors assume that the origin of ferromagnetism may be the exchange interactions between localized electron spin moments resulting from oxygen vacancies at the surfaces of nanoparticles. Based on these results they suggest that ferromagnetism may be a universal characteristic of nanoparticles of metal oxides. Later, in 2007, the numbers of studies which confirm the room temperature ferromagnetism in undoped semiconductors are increased. Xiao et al. published a scientific paper showing anomalous room temperature ferromagnetic behavior of CuO nanorods (30–40 nm in diameter and 100–200 nm in length) synthesized via a hydrothermal method as shown in Fig. 3.39 The coercive force (Hc) of the synthesized CuO nanorods at T = 300 K was estimated to be 175.88 Oe.

Fig. 3
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Dependence of magnetization on the applied magnetic field for CuO nanorods. The figure is reprinted with permission from reference39 under terms and conditions provided by Elsevier and

Rumaiz et al. deposited pure TiO2 films on Si substrates by pulsed laser deposition (PLD) to study the relation between defects and ferromagnetism.40 Interestingly, they experimentally found room temperature ferromagnetism in these films with magnetic moment directly related to oxygen vacancy concentration. The magnetic properties of highly pure semiconducting anatase TiO2-δ grown on (1 0 0) LaAlO3 at different oxygen pressures have been investigated by Yoon et al.41 They demonstrate that TiO2-δ films exhibit ferromagnetism up to 880 K without the introduction of magnetic ions. In the same context, Sanyal et al. studied the origin of room temperature ferromagnetism in nanocrystalline ZnO as well as the defect–magnetization correlation.42 Remarkably, they observed that nanocrystalline ZnO chemically prepared by firing at 550°C showed room temperature ferromagnetic ordering with a saturation magnetization of 1.3 × 10−3 emu/gm. In contrast, bulk ZnO, ball milled nanocrystalline ZnO and chemically prepared nanocrystalline ZnO samples without firing show diamagnetic and paramagnetic characteristics. Thus, depending upon the preparation method, the magnetic property of the nanocrystalline ZnO shows diamagnetic, paramagnetic and even ferromagnetic nature. The influence of vacuum and air annealing on room temperature ferromagnetism of TiO2 thin films synthesized using both spin coating and sputter deposition on sapphire and quartz substrates were investigated by Sudakar et al.43 As mentioned by the authors, all films annealed in vacuum exhibit room temperature ferromagnetic properties while those annealed in air display much smaller, often negligible, magnetic moments. They found that the magnetization and magnetization per unit area of these samples depends on film thickness and it decreases monotonically with increasing the thickness. Their results suggest that room temperature ferromagnetism of TiO2 films annealed in vacuum is mediated by surface defects or interfacial effects, but does not arise from stoichiometric crystalline TiO2. In the same way, Hassini et al. showed that the confinement effects is an important factor plus defects in inducing room temperature ferromagnetism in TiO2 thin films prepared by spin coating.44

For the second time, Sundaresan and Rao mentioned in new study that the ferromagnetism is a universal feature of inorganic nanoparticles.45 The authors noticed that the nanostructure form can cause the diamagnetic behavior of CeO2, TiO2, Al2O3, MgO, GaN, BaTiO3 and superconducting YBa2Cu3O7 to be ferromagnetic at room temperature compared to the bulk. As shown in Fig. 4 and based on their discussion, the ferromagnetism of the nanoparticles is confined to the surface effect, and the classical ferroelectric BaTiO3 can show multiferroic properties at nano-scale. In another remarkable study, in 2013, Li et al. found strong room temperature ferromagnetism in undoped ZnO nanostructure arrays prepared by colloidal template as shown in Fig. 5.46 High saturation magnetization of 6.1 emu g-1 and a remarkable dependence of ferromagnetism on grain size were reported in this work, as shown in Fig. 6. By adjusting the annealing time of the synthesized ZnO, the saturation magnetization can be varied from 0.1 to 6.1 emu g-1. The authors clearly show that grain size and oxygen vacancies are the main factors for such ferromagnetism.

Fig. 4
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(a) Magnetization curves of nanocrystalline and bulk BaTiO3 showing ferromagnetic and diamagnetic behavior, respectively. (b) Dielectric constant of nanocrystalline BaTiO3 showing anomalies indicating the ferroelectric phase transitions. (c) P-E hysteresis curve of nanocrystalline BaTiO3. (d) Magnetocapacitance of nanocrystalline BaTiO3 showing coupling of surface ferromagnetism with ferroelectricity. The figure is reprinted with permission from reference45 under terms and conditions provided by Elsevier and

Fig. 5
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Strong room temperature ferromagnetism of undoped ZnO nanostructure arrays prepared by colloidal template. The figure is reprinted with permission from reference46 under terms and conditions provided by the Royal Society of Chemistry and

Fig. 6
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Dependence of saturation magnetization on grain size of ZnO. The figure is reprinted with permission from reference46 under terms and conditions provided by the Royal Society of Chemistry and

With respect to La2O3, Xu et al. detected room temperature ferromagnetism in pure La2O3 nanoparticles synthesized via precipitation and post-annealing method.47 The magnetic hysteresis loop measurements show that all La2O3 samples exhibit room temperature ferromagnetism and the saturation magnetization was decreased from 0.0033 emu/g to 0.0018 emu/g due to increasing the annealing temperature from 700 to 1000 °C. In the case of CaO, the ferromagnetic hysteresis loop at room temperature was found in CaO nanopowders prepared by the sol-gel method.48 Also, the authors found that the saturation magnetization decreases from 0.031 to 0.007 emu/g by increasing the annealing temperature from 700 to 1000 °C. Their experimental results and first principle calculations pointed out that Ca defects are the reason for the ferromagnetic behaviour in CaO nanopowders. The studies also confirmed that pure Y2O3 nanoparticles synthesized by a glycine-nitrate method have room temperature ferromagnetism.49 Interestingly, they noticed that the vacuum-heated sample shows the largest ferromagnetism and also pressing the samples before heat treatment enhanced the saturation magnetization value. The Y2O3 nanoparticles exhibited the largest saturation magnetization value of 0.0282 emu g-1 when annealed in vacuum due to formation of numerous oxygen vacancies.

Surprisingly, NaCl (a nonmagnetic inorganic non-metallic material) with different crystal size revealed room temperature ferromagnetism which provides a novel opportunity to further understand the origin of ferromagnetism in the traditional substances as illustrated in Fig. 7.50 They noticed that the saturation magnetization (Ms) of NaCl increases monotonically from 8.66 × 10-5 emu/g to 1.08 × 10-3 emu/g due to a decrease of particle size. The authors suggest that the ferromagnetism in NaCl originates from a surface effect due to interactions between the surface Cl vacancies which form the long range ferromagnetic order. On the other hand, it was observed that mixing of pure nonmagnetic oxides in heterostructures or nanocomposites induces abnormal room temperature ferromagnetic behaviour with enhanced magnetic parameters.51,52,53 In this context, Gao et al. found enhanced room temperature ferromagnetism in CuO–ZnO heterostructures compared to a single component, as shown in Fig. 8.51 The maximum saturation magnetization (0.022 emu g−1) was realized in the sample with molar ratios of ZnO:CuO = 33:67. They attributed the enhanced ferromagnetism to an interface effect which opens a new way to design magnetic materials for promising devices. More details about defect-induced room temperature ferromagnetism in undoped materials are included in Table I.

Table I Room temperature ferromagnetism in pure metal oxide semiconductors
Fig. 7
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Room temperature ferromagnetism of NaCl, S00, S10, S15, S20, S25 and S30 are NaCl powders planetary milled for different times 0, 1.0, 1.5, 2.0, 2.5, and 3.0 h, respectively. The inset shows the M–H curves of S30 every month. The figure is reprinted with permission from reference50 under terms and conditions provided by the Royal Society of Chemistry and

Fig. 8
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(a) Schematic diagram for the CuO–ZnO film-heterostructures and the XRD result for the representative sample of 5[CuO–ZnO]. (b) M–H curves for the CuO–ZnO film heterostructures. The figure is reprinted with permission from reference51 under terms and conditions provided by the Royal Society of Chemistry and

Room Temperature Ferromagnetism: Nonmagnetic Dopants

Nonmagnetic Transition Elements

Sc, Ti, Y, Zr, Cu, Zn, Cd and Ag are typical examples of nonmagnetic dopants that belong to transition metal elements. The first attempt to use nonmagnetic dopants in inducing room temperature ferromagnetism was related to copper, which is considered an important step in this field.36 Copper, Cu, is thought to be an ideal nonmagnetic dopant for undoped metal oxides, because the secondary phases or clusters such as Cu, CuO, and Cu2O are all antiferromagnetic (AFM). In 2005, Buchholz et al. experimentally reported the first room temperature ferromagnetism of nonmagnetic dopant Cu-doped ZnO thin films prepared by pulsed-laser ablation.36 Their results obviously showed that Cu-doped ZnO thin films grown under conditions that produced p-type material exhibit room temperature ferromagnetism with a Curie temperature above 350 K while those grown under conditions that produced n-type ZnO show diamagnetic behaviour. As mentioned by the authors, the magnetic moment per copper atom was decreased as the copper concentration increased. In the same year, Duhalde et al. also reported the remarkable observation of significant room temperature ferromagnetism in Cu-doped TiO2 thin films grown by pulsed laser deposition.81 Interestingly, the magnetic moment estimated from the hysteresis loop of Cu-doped TiO2 thin film was 1.5 µB per Cu atom. Later in 2006, Herng et al. studied the origin of room temperature ferromagnetism in copper-doped ZnO films grown on silicon substrates at room temperature by a filtered cathodic vacuum arc (FCVA).82 They found that 5 at.% Cu-doped ZnO film exhibits room temperature ferromagnetism with saturation magnetization of 0.037µB/Cu atom. In their discussion, the origin of the ferromagnetism is principally attributed to the substitution of Cu2+ into Zn2+ sites. They stated that the presence of Cu ions in ZnO lattice induce the p-d hybridization between 3d of Cu and ZnO valence bands (O-p bands), which leads to a magnetic moment. Furthermore, the well separation of Cu–Cu ions in the c axis of ZnO structure could also contribute to the observed ferromagnetism.82 Hou et al. reported significant room temperature ferromagnetism in nonmagnetic Cu-doped TiO2 thin films grown by reactive magnetron sputtering.83 The authors found that Cu-doped TiO2 films annealed in air atmosphere did not show any magnetic properties, while those annealed in vacuum exhibit room temperature ferromagnetic properties with a Curie temperature near 350 K. The magnetic moment per copper atom was decreased as the copper concentration increased. The origin of the ferromagnetic behavior in these films was assigned to both oxygen vacancies and the distance between nearest-neighbor copper atoms. In the same context, room temperature ferromagnetism of Cu-doped ZnO (Zn1−xCuxO, x = 0.05 and 0.07) nanowire arrays embedded in an anodic aluminum oxide template was reported by Gao et al.84 The magnetic hysteresis loop measurements indicated that both Zn0.95Cu0.05O and Zn0.93Cu0.07O nanowires reveal room temperature ferromagnetism and the Zn0.93Cu0.07O nanowires annealed in vacuum exhibit an improvement in ferromagnetism.

Recently, Alla et al. studied ferromagnetic behaviour of Cu-doped CeO2 (CuxCe1−xO2, x = 0.01, 0.03 and 0.05) nanostructures prepared by microwave refluxing.85 The results showed that all doped CeO2 samples have room temperature ferromagnetic behaviors with saturation magnetization of 0.0027, 0.012 and 0.001 Am2/kg for x = 0.01, 0.03 and 0.05, respectively. Similarly, room temperature ferromagnetism in Cu-doped ZnO nanofibers prepared by electrospinning was studied by Chen et al.86 As mentioned by the authors, 8% Cu-doped ZnO sample (by thermal diffusion) exhibits a high saturation magnetization value equal to 1.35 emu/g as shown in Fig. 9. The ferromagnetic behavior induced by copper as a nonmagnetic dopant encouraged scientists to examine other nonmagnetic elements to induce room temperature ferromagnetism in different oxides.

Fig. 9
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M-H curves of the Cu-doped ZnO nanofibers recorded at room temperature (a), M-T curve of the Cu-doped ZnO nanofibers (b). The figure is reprinted with permission from reference86 under terms and conditions provided by Elsevier and

The observation of room temperature ferromagnetism in Sc-doped ZnO by Venkatesan et al. is quite surprising,87 since neither Zn2+ (3d10) nor Sc3+ (3d0) are magnetic ions, and the 3d level of zinc lies well below that of scandium, so no electron transfer to scandium is seen. The magnetic moment detected in 5 at.% Sc-doped ZnO is 0.3 µB/Sc.87 The effect of Ti doping on the room temperature ferromagnetism of nano-crystalline SnO2 (Sn1-xTixO2, x = 0.00, 0.02, 0.05 and 0.07) prepared by sol–gel method without any surfactant or dispersant material was investigated.88 The magnetic results confirmed that the pure and 2% Ti-doped SnO2 exhibit perfect room temperature ferromagnetism (RTFM) while 5% and 7% Ti-doped samples show a weak ferromagnetism with diamagnetic contribution. On the other hand, Bhowmik et al. studied the magnetic properties of α-Fe2O3 and Ti doped α-Fe2O3 thin films grown on different substrates at 400 °C by using pulsed laser deposition.89 After that, these films were heated in the temperature range of 600–730 °C either in air or vacuum. They found that some films possess room temperature ferromagnetism or canted antiferromagnetism which may be useful for spintronics applications.

Room temperature ferromagnetism in Y-doped HfO2 (Hf1-xYxO2-δ, 0.05 ≤ x ≥ 0.2) nanoparticles obtained by metathesis synthesis was investigated by Dohcević-Mitrović et al.90 Structural analysis of these samples shows that there are phase transformations from monoclinic to tetragonal and cubic phases by increasing the Y content in HfO2 nanopowders. The ferromagnetic hysteresis loops of Y-doped HfO2 samples are dependent on crystal structure changes. The saturation magnetization value (Ms) of pure HfO2 was found to be 2.2 × 10-3 emu g-1. The value of the saturation magnetization was increased by addition of 5 at% Y-doped HfO2 and reaches its maximum of 2.9 × 10-3 emu g-1 for 10 at% doped HfO2 sample. Another study on Y-doped CeO2 (0-15%) nanoparticles synthesized by precipitation method showed room temperature ferromagnetism in these compositions and the authors related it to the presence of defects.91 In case of nonmagnetic Zr element, Ma et al. investigated the ferromagnetic properties of Zr-doped CeO2 synthesized by a hydrothermal method.92 The authors clearly showed that Ce0.94Zr0.06O2 sample exhibits a ferromagnetic hysteresis loop with saturation magnetization and remanent magnetization of 0.97 × 10−3 emu/g and 0.09 × 10−3 emu/g, respectively. This ferromagnetic behaviour was explained based on structure distortion and oxygen defects induced by Zr doping on substitutional sites. Another work on Zr-doped ZnO (Zn1-xZrxO, x = 0.00-0.10) prepared by formal solid-state reaction showed that Zn0.96Zr0.4O composition possesses a perfect ferromagnetic behavior with maximum saturation magnetization of 9.6 × 10-4 emu/g.93 Specifically, the Zn2+ ion as a dopant has full 3d orbital (3d10) with no unpaired electrons. However, Liu et al. synthesized Sn1-xZnxO2 nanorods with varying Zn concentration (x = 0, 0.04, 0.08, 0.12, 0.16, 0.20) by a solvothermal method and investigated their magnetic properties.94 The X-ray diffraction analysis shows that Zn ions have been successfully substituted the Sn sites in the SnO2 lattice without forming secondary phases. Interestingly, all Zn-doped samples reveal ferromagnetic performance at room temperature. The measured values of saturation magnetization (Ms) and coercivity of 4 at% doped SnO2 are 0.44 × 10-3 emu/g and 180 Oe, respectively. By increasing Zn concentration to 8 at%, the saturation magnetization is markedly improved (0.85 × 10-3 emu/g). They attributed the observed room temperature ferromagnetism in Zn-doped SnO2 samples to the doping-induced VSn defects. On the other hand, room temperature ferromagnetism of Zn-doped SnO2 flower-like microparticles synthesized by the hydrothermal method was evaluated by Paraguay-Delgado et al.95 The morphological analysis of these nanoparticles displays progressive changes from truncated rods to sharp needles due to Zn doping. The magnetic measurements reveal that pure SnO2 has weak ferromagnetism while Zn-doped samples exhibit enhanced ferromagnetic ordering. The authors found that pure and 2 and 5 at.% Zn-doped SnO2 possess saturation magnetization values of 0.027, 0.31 and 0.42 kAm−1, respectively.

Some research groups studied the impact of Cd on the magnetic behavior of some metal oxides ZnO.96,97,98 In these studies, Debbichi et al. detected room temperature ferromagnetism in pure and Cd-doped ZnO thin films grown on a c-plane sapphire substrate by metal organic chemical vapor deposition.96 As reported by the authors, pure, 0.7%, 3%, and 4.6% Cd-doped ZnO thin films exhibit saturated moments of 0.10, 0.22, 0.31 and 0.42 emu/ cm3, respectively. Their theoretical study based on density functional theory revealed that Cd replacement at Zn sites contributes to the long-ranged ferromagnetism in ZnO due to lowering the formation energy of Zn vacancies which stabilize Zn vacancies from which the magnetic moments originate. Another group synthesized Cd-doped ZnO thin films on a c-plane sapphire substrate by metal–organic chemical vapor deposition (MOCVD) at 380 °C.97 The M-H hysteresis loop of the prepared Cd-doped ZnO thin film at room temperature displays a perfect ferromagnetic behavior with remanence (Mr) value equal to 0.0262 emu/ cm3, and coercive field (Hc) of 52 Oe. Ramya et al. used chemical precipitation in synthesizing undoped and Cd-doped CuO nanoflakes and then investigated their magnetic properties.98 All these samples exhibited ferromagnetic properties and the ferromagnetism in CuO nanocrystals is significantly improved by substitution of Cu sites by Cd ions. With respect to Ag dopant, room temperature ferromagnetism was reported for Ag-doped ZnO films prepared by DC magnetron sputtering by Xu et al.99 In the same way, the impact of nonmagnetic Ag doping on the magnetism of ZnO was investigated by Ali et al.100 Experimentally, they noticed room temperature ferromagnetism in Ag-doped ZnO samples with Ag content varied from 0.03% to 10%. In these systems, the authors stated that zinc vacancy (VZn) improves the ferromagnetic ordering while oxygen vacancy (VO) hinders the ferromagnetism.

Table II Room temperature ferromagnetism induced by nonmagnetic transition and post-transition dopants in metal oxide semiconductors

Nonmagnetic Post-Transition Elements

Al, In and Bi are nonmagnetic dopants belonging to post-transition elements. Room temperature ferromagnetism in epitaxial Al-doped SnO2 films fabricated by radio-frequency magnetron sputtering was studied by Yang et al.101 The saturation magnetization of these films was enhanced by AlSn doping and the maximum value was observed in the Sn0.98Al0.02O2 film. The localized holes introduced by incorporation of Al ions into Sn sites contributes to the magnetic moment. Lu et al. investigated the influence of Al-doping on the structural, optical, and magnetic properties of ZnO nanoparticles synthesized by a hydrothermal method and then annealed in air at different temperature. 102 The X-ray diffraction analysis of all samples showed the formation of hexagonal ZnO wurtzite structure without any impurities. The authors found that all samples exhibit room temperature ferromagnetism and annealing in air enhances the saturation magnetization value particularly at 160 °C. The Al-doped ZnO sample annealed at 160 °C exhibits a saturation magnetization value equal to 3.97 × 103. Indium (In) is one the nonmagnetic element which was utilized to induce room temperature ferromagnetism in ZnO and SnO2.103,104 Liu et al. studied the optical and magnetic properties of pure and indium-doped ZnO (Zn0.97In0.03O and Zn0.94In0.06O) nanowires prepared by vapor phase transport process.103 The magnetic measurements of these systems revealed that pure ZnO nanowires are diamagnetic while Zn0.97In0.03O and Zn0.94In0.06O nanowires exhibit intrinsic ferromagnetism at room temperature. They found that the coercive field and the magnetic moment increase with increasing indium content in ZnO nanowires. The authors attributed the ferromagnetic ordering in these samples to oxygen vacancies induced by indium doping and support their conclusion by photoluminescence (PL) measurements. Similarly, the ferromagnetic behavior of pure and indium-doped SnO2 (2, 5 and 25%) nanocrystalline thin films fabricated using sol-gel technique was studied by Singh et al.104 Both pure and 5% In-doped SnO2 thin films reveal room temperature ferromagnetism but indium doping enhances the saturation magnetization value compared to that of the pure sample. In these samples, the ferromagnetic behavior was assigned to the defects and oxygen vacancy formation.

Also, Bi, a heavy metal dopant, was used to improve the magnetic properties of zinc oxide nanowires. Kazmi et al. used a hydrothermal method to fabricate the pristine and Bi-doped ZnO nanowires (NWs) grown on glass and Si substrates.105 The magnetic properties of undoped and doped ZnO samples showed room temperature ferromagnetic behavior. The authors found that the saturation magnetization of Bi-doped ZnO was higher compared to that of the pristine ZnO samples until 1% Bi content. In the same context, another study on magnetic properties of Bi-doped ZnO (ZnBi0.03O0.97) thin film grown using pulsed laser deposition was carried out by Lee et al.106 This thin film showed a room temperature ferromagnetic hysteresis loop with remnant magnetization = 7.218 × 10-5 emu/g and saturation magnetization value of 7.223 × 10-4 emu/g. There are many studies on nonmagnetic transition and post-transition elements that we attempt to summarize in detail in Table II.

Nonmagnetic Alkali Elements

The elements of alkali earth metals (Li, Na and K) represent another group of nonmagnetic dopants which were used to induce or enhance the room temperature ferromagnetism of metal oxides. In 2009, S. Chawla et al. observed room temperature ferromagnetic properties in Li-doped p-type luminescent ZnO nanorods prepared by solid-state reaction.132 Among all samples, A typical room temperature ferromagnetic hysteresis loop was detected for a 2 at.% Li-doped ZnO sample with retentivity of 9.62 memu/g and coercivity of 166.97 Oe. The authors stated that the synthesis method is an important factor for the occurrence of p-type conduction and ferromagnetism in Li-doped ZnO. The observed ferromagnetic behavior was explained by the incorporation of Li ions into ZnO creating random potential and inducing a magnetic moment on oxygen atoms whose orbital is considered correlated. Later, in 2010, the magnetic properties of Li-doped ZnO thin films grown by pulsed laser deposition was investigated by Yi et al.133 The authors demonstrated both theoretically and experimentally that cation vacancy may be the origin of ferromagnetism in Li-doped ZnO. They stated that the insertion of Li ions into the ZnO lattice creates holes and reduces the formation energy of Zn vacancy. In their study, 8 at.% Li-doped ZnO showed the maximum saturation magnetization value. Kung et al. studied the effect of Li doping at different concentrations on the magnetic properties of ZnO nanorods prepared by a hydrothermal method.134 The structural analyses of these compositions confirmed the formation of pure single-phase ZnO with wurtzite hexagonal structure. All samples exhibited room temperature ferromagnetism with enhanced saturation magnetization values due to Li doping. As shown in Fig. 10, the saturation magnetization was estimated to be 0.012, 0.019 and 0.025 Am2/kg for ZnO, Zn0.95Li0.05O and Zn0.9Li0.1O nanorods samples, respectively.

Fig. 10
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Room temperature magnetization loops of the Zn1−xLixO nanorods. The figure is reprinted with permission from reference134 under terms and conditions provided by Elsevier and

In the case of In2O3, Cao et al. used the sol–gel method in synthesizing Li-doped In2O3 ((In1-xLix)2O3, x = 0, 0.005, 0.01, 0.02, 0.05, 0.07) nanoparticles and then investigated their magnetic properties.135 The prepared samples of Li-doped In2O3 revealed ferromagnetic properties at room temperature with maximum saturation magnetization 1.25 ×10-3 emu/g at 2 at.% Li content. The authors attributed the ferromagnetic coupling in these samples to LiIn-ONN-VIn-ONN-LiIn chains. Recently, the large room temperature ferromagnetism of Li-doped ZnO (1, 5 and 10%) nanoparticles synthesized by chemical precipitation was reported.136 The magnetic measurements showed that the 1% Li-doped ZnO sample has a perfect ferromagnetic hysteresis loop with maximum coercivity and saturation magnetization of 1570 Oe and 0.055 emu/gm. This ferromagnetic behavior was assigned to Zn vacancies, Li interstitial and Li substitution vacancies but not from oxygen vacancies.

With respect to the Na dopant, the room temperature ferromagnetism of Na-doped SnO2 nanoparticles based on experimental and first-principles studies was presented by Wang et al.137 Initially, they found that the saturation magnetization increases with increasing Na content until 4% and then decreases. The Sn0.96Na0.04O2 structure exhibits the largest saturation magnetization of 1.1 memu/g. In the same context, the magnetic properties of K-doped SnO2 synthesized by the sol–gel method was investigated by Zhou et al.138 A single phase with a rutile structure without any impurities was detected in these samples. A perfect ferromagnetic hysteresis loop was seen for the 8% K-doped SnO2 sample with highest saturation magnetization equal to 9.2 × 10-3 emu/g, as seen in Fig.11. Huang et al. reported room temperature ferromagnetism in epitaxial p-type K-doped ZnO films prepared by RF-magnetron sputtering.139 Remarkably, as mentioned by the authors, the 8% K-doped film possesses the maximum saturation magnetization of 8 emu/ cm3, and the thermal annealing of film samples in air atmosphere can stabilize the ferromagnetic behavior, as seen in Fig. 12. Based on first-principles calculations the ferromagnetic nature in K-doped ZnO films is ascribed to the strong p–p interaction between the unpaired 2p electrons at O sites.

Fig. 11
figure 11

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Room temperature magnetization curves of Sn1−xKxO2 nanocrystals, and (b) the magnetization curves of Sn0.96K0.04O2 nanocrystals at temperature of 5 K, 200 K, and 305 K. The figure is reprinted with permission from reference138 under terms and conditions provided by Elsevier and

Fig. 12
figure 12

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(a) Room temperature M–H loops of the K-doped ZnO films, and the inset is the magnetic moment per K as a function of the K concentration and (b) the M–H loops of the as-grown and air-annealed (700 °C, 1 h) for the 4% and 8% K-doped films at 300 K. The figure is reprinted with permission from reference139 under terms and conditions provided by Elsevier and

Nonmagnetic Alkaline Earth Elements

The nonmagnetic alkaline earth group elements which include Be, Mg, Ca, Sr, Ba, and Ra. Panigrahi et al. studied the influence of Mg ions on magnetic properties of NiO nanoparticles prepared by chemical method.140 The magnetic behavior of the prepared samples displayed weak room temperature ferromagnetism along with the dominance of background antiferromagnetism. In another work, the ferromagnetism in epitaxial Mg-doped SnO2 thin films prepared by radio-frequency magnetron sputtering was examined at room temperature.141 6% Mg-doped SnO2 thin film exhibits room temperature ferromagnetism with a saturation magnetization = 6.9 emu/ cm3. They attributed the ferromagnetic nature to hole formation due to Mg doping. Interestingly, robust room temperature ferromagnetism was reported for nonmagnetic Mg-doped ZnO films grown by pulsed laser deposition as illustrated in Fig. 13.142 Their results show that Mg doping induces room temperature ferromagnetism in ZnO with a maximum saturation magnetization of 2.5 emu/cm3. Dimri et al. investigated the ferromagnetic properties of Ca- and Mg-doped zirconia bulk and thin film samples prepared by pulsed laser deposition.143 Both Zr0.86Mg0.14O2 and Zr0.84Ca0.16O2 samples display ferromagnetic performance with saturation magnetization of 0.012 and 0.0335 emu/g, respectively.

Table III Room temperature ferromagnetism induced by nonmagnetic alkali and alkaline dopants
Fig. 13
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Room temperature magnetization vs. applied magnetic field curves. (a) PM I (paramagnetic) and PM I:Vac (as-deposited and annealed); (b) FM II (ferromagnetic) and FM II:Air (as-deposited and aged). The figure is reprinted with permission from reference142 under terms and conditions provided by Elsevier and

Nonmagnetic strontium (Sr) was utilized to tune the magnetic properties of TiO2 and SnO2. Rajamanickam et al. used hydrolysis to synthesize undoped and Sr-doped TiO2 nanoparticles with evolution of their magnetic properties.144 They observed that Sr doping greatly enhances the room temperature ferromagnetism of TiO2, Fig. 14. The saturation magnetization and coercivity of best composition (Ti0.95Sr0.05O2) were 7.47×10-3 emu/g, 280.68 G, respectively. On the other hand, Wang et al. observed oxygen vacancy-mediated room temperature ferromagnetic properties in Sr-doped SnO2 (Sn1-xSrxO2, x = 0.00, 0.02, 0.03, 0.05, 0.06, 0.08) nanoparticles synthesized via the sol–gel technique.145 Both pure and Sr-doped SnO2 nanoparticles show room temperature ferromagnetism with largest the saturation magnetization of 6.98 × 10-4 emu/g reported for Sn0.95Sr0.05O2 sample. The authors noticed a strong relation between oxygen vacancy defects and ferromagnetism. Other studies related to room temperature ferromagnetism by alkali and alkaline elements are tabulated in Table III.

Fig. 14
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VSM spectra of Ti1-xSrxO2 (x = 0.00, 0.01, and 0.05) nanoparticles. The figure is reprinted with permission from reference144 under terms and conditions provided by Elsevier and

Nonmagnetic Nonmetal Elements

Nonmetal elements such as B, C and N mostly lack the characteristics of a metal. In 2008, Yang et al. performed first-principles calculations on C-doped TiO2 structures to show the possibility of achieving room temperature ferromagnetism.162 Their work demonstrates that each C has spin-polarized 2p states in the band gap generating a magnetic moment of 2.0µB. Later in 2009, Ye et al. experimentally studied the ferromagnetic properties at room temperature of carbon-doped TiO2 synthesized by solid-state reaction and sintered in argon or nitrogen atmosphere.163 They noticed that all the samples exhibited room temperature ferromagnetic but with high saturation magnetization for samples sintered under argon atmosphere. C-doped TiO2 with nominal carbon concentration of 5 mol% sintered in argon atmosphere exhibits magnetic moment per carbon in carbide state equal to 0.0236 μB with saturation magnetization of 8.4 × 10-4 emu/g. In the same context, the as prepared C-doped TiO2 nanoparticles by a hydrothermal method showed a ferromagnetic performance with maximum saturation of 0.038 emu/g.164 Ye et al. have used the solid-state reaction to synthesize n-type carbon-doped ZnO with intrinsic room temperature ferromagnetism.165 They found that the 15% C-doped ZnO sample has the highest saturation magnetization value of 15.2 × 10-4 emu/g. The magnetic properties of 1, 2 and 3 at.% C-doped ZnO thin films prepared by electron beam evaporation were studied by Akbar et al.166 X-ray diffraction analysis confirmed the formation of ZnO wurtzite structure without any impurities. As depicted in Fig. 15, all these films clearly revealed ferromagnetism at room temperature with the strongest magnetic moment (~ 22.5 emu/cc) in the case of 1 at.% C doping.

Fig. 15
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Room temperature hysteresis loops for (#1) 1 at.% C-doped ZnO, (#2) 3 at.% C-doped ZnO films and (#3) C-coating on ZnO thin film. The figure is reprinted with permission from reference166 under terms and conditions provided by Elsevier and

Nanoneedle-shaped carbon-doped ZnO was fabricated by ion beam irradiation.167 Remarkably, this structure showed ferromagnetic behavior at room temperature with enhanced saturation magnetization 3.04 emu/cm3 compared to the pure sample (1.24 emu/cm3). On the other hand, hexagonal and round nanoparticles of carbon-doped ZnO prepared by sol-gel technique exhibited a ferromagnetic performance as reported by Dung et al.168 Carbon-doped ZnO powders with nominal concentrations of 0, 1, 3, 5, 8 and 10 mol% were synthesized by mechanical milling assisted by solid-state reaction.169 As mentioned by the authors, 3 mol% carbon doped ZnO displayed the maximum saturation magnetization. Ruan et al. investigated the magnetic properties of carbon-doped In2O3 thin films prepared on Si (100) substrates by RF-magnetron co-sputtering.170 Enhanced room temperature ferromagnetism is seen in these samples with 4.8 emu/g as a maximum saturation magnetization. The authors assigned the magnetic properties of these films to defects in In2O3:C systems. In the same way, Khan et al. studied the influence of annealing on the ferromagnetic properties of In2O3:C thin films synthesized by co-sputtering.171 Interestingly, C-doped In2O3 thin films exhibited room temperature ferromagnetism with maximum magnetization reached to 5.7 emu/cm3 at 3.4 at% C content. Annealing of these films in oxygen environment resulted in a decrease in the magnetization, indicating the crucial role of oxygen vacancies in the films.

Table IV Room temperature ferromagnetism induced by nonmagnetic nonmetal dopants in metal oxide semiconductors

In the case of nitrogen (N), Shen et al. used RF-magnetron sputtering technique to prepare pure In2O3 and N-doped In2O3 films with a thickness of about 400 nm on (001) Si and ultra-white glass substrates.172 Unusually, N-doped In2O3 films showed perfect room temperature ferromagnetism and the saturated magnetization of the films monotonically increases with increasing N doping concentration. Specifically, 5 at% N-doped In2O3 film exhibited the highest saturation magnetic moment of 0.6 emu/cm3. On the other hand, room temperature ferromagnetic properties have been experimentally detected in N-doped rutile TiO2 films prepared by pulse laser deposition under N2O atmosphere with magnetic moment of approximately 0.9 µB per N atom.173 Similarly, Gómez-Polo studied the room temperature ferromagnetism of pure and N-doped TiO2 nanoparticles obtained by sol-gel technique.174 As reported by the authors, pure TiO2 has shown a paramagnetic-like behavior while the N-doped TiO2 sample exhibits enhanced room temperature ferromagnetic after post-annealing treatments with saturation magnetization = 3.49 ×10-3. In other research, the nanowire structure of both undoped and N-doped TiO2 samples prepared by a hydrothermal method revealed room temperature ferromagnetism.175 The estimated values of the saturation magnetizations were 0.007 and 0.042 emu/g for pure and N-doped TiO2, respectively. Their results indicated that the oxygen vacancies and crystallinity play essential role in the enhanced room temperature ferromagnetism of N-doped TiO2 nanowires.

Gómez-Polo showed that the nanoparticles of nitrogen-doped TiO2 synthesized by the sol–gel method display ferromagnetic features at room temperature.176 Remarkably, N doping and post-annealing of samples in vacuum greatly enhance the ferromagnetic properties and increase the saturation magnetization from 0.001 to 0.008 emu/g. In the case of ZnO, Wang et al. investigated the room temperature ferromagnetism of N-doped ZnO thin films deposited using magnetron sputtering.177 They found room temperature ferromagnetic hysteresis loops for all N-doped ZnO thin films. The influence of UV irradiation on the saturation magnetization of nitrogen-doped ZnO films was investigated by Yu et al.178 The authors found that the saturated room temperature ferromagnetism in N-doped ZnO increases significantly after ultraviolet light irradiation for 5 min. N-doped SnO2 films synthesized by oxidative annealing of sputtered SnNx films with various temperatures exhibited enhanced ferromagnetism due to N doping with an interesting saturation magnetization value = 10.1 emu/cm3.179 Based on theoretical calculations of density-functional theory, this ferromagnetic behavior is assigned to double exchange mechanism through the p–p interaction.

Li et al. investigated the room temperature ferromagnetism of C-/N-/O-implanted MgO single crystals prepared by arc melting and packaged in a vacuum.180 They found that all samples with high-dose implantation displayed room temperature ferromagnetic hysteresis loops. The ferromagnetic behavior at room temperature in O-implanted samples was ascribed to the presence of Mg vacancies while the introduction of C or N played a more active role in the room temperature ferromagnetism than Mg vacancies. Referring to boron (B) as a dopant, Yılmaz et al. studied the effect of defects on room temperature ferromagnetism of B diffused into ZnO microrods grown on glass substrates by spray pyrolysis.181 The magnetic measurements demonstrated that B-doped ZnO samples revealed room temperature ferromagnetism related to defects in ZnO structure. Experimentally and theoretically, Xu et al. reported room temperature ferromagnetism in single-phase boron-doped ZnO films prepared by pulsed laser deposition.182 As found by the authors, increasing the boron component from 0% to 6.8% leads to monotonic increases in saturation magnetization from 0 to 1.5 emu/cm3. The theoretically study of these films revealed that the ferromagnetism in the B-doped ZnO originates from the induced magnetic moment of oxygen atoms in the nearest neighbor sites to B–Zn vacancy pairs. Table IV summarizes other studies on ferromagnetic properties of nonmetal dopants used to dope metal oxides.

Brief Vision of Possible Mechanisms of d0 Ferromagnetism

The room temperature ferromagnetism which originates in completely filled or unfilled d-orbitals or f-orbitals is generally called d0 ferromagnetism and is a critical field of study for the scientific community and is considered to be one of the most interesting and challenging phenomena.194,195 Great efforts have be done to understand the possible mechanisms which inducing the room temperature ferromagnetism in undoped or in doped with nonmagnetic dopants. During recent years, the mechanism of room temperature d0 ferromagnetism which is noticed in many oxides, sulfides, and other semiconductors, principally in nanoscale size is linked with intrinsic defects or impurities without participation of the conventional 3d or 4f magnetic ions.166,196 Coey proposed some mechanisms for ferromagnetism based on lattice defect-related ferromagnetism which supposes that the defects in undoped semiconductors or insulator materials create states in the gap which are sufficiently numerous to form an impurity band.29,197 If the density of states of these defects is sufficiently large, spontaneous spin splitting may occur which induces the room temperature ferromagnetism. Another mechanism proposed by Coey is that the defect states themselves can induce magnetic moments associated with molecular orbitals localized in the vicinity of the defects.197 These states then form the impurity band which needed to mediate a long-range ferromagnetic interaction between them. The assumptions about the origin of the ferromagnetic behavior in such materials have mostly focused on:194

(i) Spin polarized anion p-orbital holes resulting from cation vacancies, under-coordinated surface anions, and impurity p states as in C and N doping.

(ii) Anion vacancies carrying unpaired electrons, such as F+ centers (singly occupied oxygen vacancies) in ZnO,

For more great information about the proposed mechanisms of room temperature ferromagnetism, the author suggests reading these published studies.198,199,200,201,202

Summary and Future

Spintronics based magnetic semiconductor oxides is one of the most promising areas in recent years. In this work, we have introduced a systematic discussion on two interesting results: room temperature ferromagnetism in undoped semiconductor oxides and nonmagnetic dopants can induce ferromagnetism in oxides. Because of the large number of publications in recent years we can predict that some important investigations on this topic have been missed in the current study. Until now, semiconductor oxides possessing stable and robust room temperature ferromagnetism and a clear ferro-ordering mechanism with high control of spin polarization is not yet realized. In the future, the scientific strategies can include the search for novel materials and mechanisms or greatly improving the current ferromagnetic-semiconducting materials, such as the promising ZnO. These strategies can include working on different directions:

(i): Innovation of novel room temperature magnetic semiconductors with strong ferromagnetism and perfect spin current control through using new materials including two-dimensional materials, organic semiconductors and inorganic-organic hybrid perovskites.

(ii): Discovery of new mechanisms with good understanding and controlling of magnetic ordering to design the desired valuable properties.

(iii) Technical strategies include developing of new synthesis methods to obtained different morphologies, nanosize controlling, atomic-scale design and using of new combination of co-dopants or tri-dopant blends.

(v): Thin film preparation under different atmospheres and temperature to control in the type and concentration of defects.

In the final, we felling that with the continuous scientific researches, we are confident of reaching impressive results in the future.