1 Introduction

At the first derivation of the characteristics of graphene by separation from graphite [1], its remarkable electrical [2,3,4], thermal [5], optical [6, 7], and mechanical properties [8, 9] were investigated globally. In addition, many efforts have been made to industrialize high-quality graphene for using its superb properties [10,11,12]. The chemical vapor deposition (CVD) method is one of the potential methods for mass production of graphene [13,14,15,16,17], and it is easy to fabricate large-scale graphene for transparent electrodes [13, 18, 19], solar cells [20, 21], and in other applications [15, 22]. In addition to experimental studies, theoretical studies involving DFT simulated the phenomenon occurring at the atomic level during the growth of graphene or the formation of doped graphene in CVD [23, 24]. It has the advantage of being able to understand the growth of graphene with various characteristics by perturbation of growth conditions. According to Liu [25], to achieve industrialization, graphene’s thickness uniformity, lateral size, low defect density, yield, and low cost are required. In the case of CVD graphene, there are two challenges. One is the yield, and the other is the cost. Concerning cost, the constant consumption of catalytic metal, which disappears in the transfer process and high-power consumption by heating the catalytic metal to almost 1000 °C to the synthesis of high-quality graphene, must be solved. The consumption of catalytic metal can be solved by adopting the electro-delamination transfer process in which catalytic metal and graphene are separated without any damage to the catalytic metal [26,27,28]. Furthermore, batch-to-batch (B2B) or roll-to-roll (R2R) structure represent one step further to the mass production [19, 29]. In the case of the consumption of power, there are two options. One is to lower the growth temperature [30], and the other is to reduce the synthesis time [29].

To improve the productivity of CVD graphene, we used methanol, which has a chemical formula similar to that of methane gas commonly used in chemical vapor deposition of graphene, but a different phase, which is an organic solvent as a precursor. As a result, we succeeded in synthesizing the graphene growth rate over ten times faster than that of methane gas [31, 32].

2 Experimental

2.1 Graphene growth

Graphene was grown via thermal–chemical vapor deposition (T-CVD) using a copper foil as a catalytic substrate. 18-µm-thick single-side-polished copper foil was selected for this experimental. As shown in Fig. 1b, graphene growth was segmented into four sections. First, T-CVD was heated to 1000 °C for 30 min with 100 sccm argon as a carrier gas. Before supplying the carbon source for growing graphene, hydrogen gas was flowed at 50 sccm for 10 min to activate the copper foil surface by eliminating the copper oxide and other contaminants. The graphene growth condition is changed by controlling the growth time. Methanol was supplied for 0.5 min, 1 min, and 5 min using the liquid cell and the gradient of partial pressure between the liquid cell and the main chamber, as shown in Fig. 1a. During this process, the vacuum condition in the T-CVD chamber was maintained at 140 mTorr, which implies that the same amount of methanol was supplied with the methane supply case [31]. The catalytic copper foil was rapidly cooled by removing the heating element after finishing the graphene growth to prevent the dewing of additional carbon.

Fig. 1
figure 1

Schematic illustration of T-CVD setup and conditions for graphene growth using methanol. a Scheme of T-CVD with gas supply using a liquid cell, b temperature profile and supplying gas as a function of time

2.2 Graphene transfer

To transfer graphene onto the SiO2/Si substrate, graphene/Cu foil after backside etching was coated by poly(methyl methacrylate) 950 K C4 from MicroChem using a spin-coating technique. The PMMA/graphene/Cu foil was placed in 0.15 M ammonium persulfate (APS) solution to etch the Cu foil from the sample. The separated PMMA/graphene film was moved onto the SiO2/Si substrate after rinsing several times on DI-water to prevent contamination of etched copper and residual etchant. Finally, the PMMA on the graphene was eliminated by acetone.

2.3 Characterization

To determine the role of growth time, graphene was characterized using an optical microscope. Through the optical microscope image, the coverage of graphene was investigated. Raman spectra were measured at ten points for each sample using a Renishaw inVia Raman spectroscope with a 514 nm laser source. The electrical properties of graphene were determined via a graphene-field effect transistor (G-FET). The source–drain channel of the G-FET was 3.5 µm × 3.0 µm, and a back-gate was chosen with a 300-nm SiO2 gate oxide by electron beam lithography. The electron and hole mobilities of graphene depending on the growth time were calculated from the G-FET’s operating current response of the gate voltage change measured using Keithley 236 and 237 source-measure units in the vacuum probe station below 10–5 Torr.

3 Results and discussion

First, to confirm the growth state of graphene, graphene transferred to a 300 nm SiO2/Si substrate, which is the easiest to optically distinguish graphene, was confirmed using an optical microscope [33]. Figure 2a shows the graphene grown on the catalytic copper foil before transfer and Fig. 2b the transferred graphene coverage on the SiO2/Si substrate. The minimum time required for full-covered graphene growth was confirmed by the transferred image in Fig. 2a, as graphene was synthesized on the entire surface of the substrate within 0.5 min of the growth time.

Fig. 2
figure 2

Optical microscopic images of as-grown and transferred graphene. The growth times of ac are 0.5 min, 1 min, and 5 min, respectively

The quality of the graphene samples according to the growth time was evaluated by measuring the position and shape of the G and 2D peaks using Raman spectroscopy. Figure 3c shows representative Raman spectra, which are normalized by the G peak intensity according to the growth time of the graphene grown by methanol. All graphene samples had a distinctive G-peak at approximately 1584 cm−1 and a 2D peak at approximately 2680 cm−1, confirming that typical CVD graphene grew well [34, 35].

Fig. 3
figure 3

Raman spectra of graphene depend on the growth time. a G-peak (left Y-axis) and 2D-peak (right Y-axis) position variance with increasing growth time. b Summary of main peak positions for each growth time of 0.5 min, 1 min, and 5 min. c Typical Raman spectra of 0.5 min, 1 min, and 5 min growth graphene. Whole peaks are normalized by each G-peak intensity. d FWHM of 2D-peak (left Y-axis) and intensity ratio of 2D/G (right Y-axis)

To further evaluate the quality of the graphene samples according to the growth time, a closer analysis of the Raman spectra was performed by Lorentz fitting of each peak. As shown in Fig. 3a and b, the G-peak positions were 1585.0 cm−1, 1584.6 cm−1, and 1586.4 cm−1 at growth times of 0.5 min, 1 min, and 5 min, respectively. Considering that the G peak position of CVD graphene appeared at approximately 1583 cm−1 [34,35,36], the disturbance occurred in phonon vibration due to oxygen- or hydroxyl-related components present in methanol used as a carbon source, causing blue-shift assumed to have happened. This result is in line with the electrical transport result, which will be described later.

As shown in Fig. 3a and b, the 2D peak positions of each graphene were 2679.6 cm−1, 2677.6 cm−1, and 2681.6 cm−1 at 0.5 min, 1 min, and 5 min, respectively. As shown in Fig. 3b and d, the value of the full-width at half-maximum (FWHM) of the 2D peaks [37, 38] is 34.1, 33.9, and 34.0, around 2677 cm−1 of the CVD graphene in a preliminary study grown with methane [31]. It was confirmed that graphene was well synthesized with methanol as a source by having a value similar to that of the 2D peak position near 2700 cm–1 and the FWHM value of approximately 31. The intensity of 2D/G (I2D/G) according to the growth time was 2.3 at 0.5 min and 2.2 at 1 min, which was higher than 2.0; however, it was shown at 1.7 at 5 min. As the growth time was extended to the methanol supply, the growth of monolayered graphene reflected in I2D/G slightly decreased.

These results can be confirmed by evaluating the electrical transport characteristics of the graphene field-effect transistor (G-FET) made of graphene ribbon (3.5 µm × 3.0 µm) as a channel [4, 39]. Figure 4a shows the back-gated G-FET for electrical transport measurements. It was measured by source-drain electrodes at both the right and left ends, and heavily P-doped Si with a gate insulator (300 nm SiO2) was used as the gate electrode. Figure 4b represents a graph of the current between the source and drain electrodes according to the gate voltage of the G-FET made of graphene according to each growth time. Because of the hydroxyl in ethanol, all graphene exhibited P-doped properties, and the slope of the current over voltage had a similar slope in graphene grown at 0.5 min and 1 min but tended to decrease rapidly in samples grown at 5 min. More specifically, it was confirmed that 0.5 min and 1 min grown graphene materials have a high current density and Dirac points (VDirac) of 53.5 V and 79.5 V, respectively [39]

Fig. 4
figure 4

G-FET image and characteristics of electrical properties. a SEM image of the fabricated G-FET structure, b source–drain current of the G-FET as a function of gate voltage at Vds of 50 mV, c mobility of electron and hole in G-FET at induced carrier density of nind = 1 × 1012 cm−2, and d mobility of the G-FET depending on the induced carrier density

Meanwhile, graphene grown for 5 min had a Dirac point of 45 V. The carrier mobility of each sample was calculated using Eq. (1) according to the Drude model from the measured source–drain current (channel current) as a function of gate voltage.

$$\mu =\frac{1}{n\centerdot q\centerdot \rho} = \frac{1}{\left|{V}_{G}-{V}_{D}\right|\centerdot {C}_{ox}\centerdot q\centerdot {(R}_{ch}\centerdot \frac{W}{L})}$$
(1)

In Eq. (1), 11.5102 nF/cm2 was applied to Cox as a capacitance of 300 nm SiO2.

When the induced carrier concentration was 1 × 1012 cm−2, the graphene grown for 0.5 min was 1528 cm2 V−1 s−1 for electron mobility (µe), and 1524 cm2 V−1 s−1 for hole mobility (µh), 1 min growth graphene was measured to be 1697 and 1590 cm2 V−1 s−1, respectively [3, 40, 41]. In the 5 min growth of graphene, µe and µh were measured as 794 and 718 cm2 V−1 s−1, respectively. As confirmed in the Raman spectra, to decrease I2D/G as the growth time was extended, the carrier mobilities were lowered by extending the growth time due to the relatively increased defect site as the growth time increased. The 0.5 min and 1 min growth graphene materials have a similar level of carrier mobility; thus, it was confirmed that the quality of the graphene grown at that time was similarly grown at high quality, as shown as Raman spectra. Electrical transport characteristics were measured at room temperature after heat treatment at approximately 180 °C for 5 h in a vacuum to eliminate the influence of moisture and oxygen from the graphene, as much as possible. The grown graphene was hole-doped with VDirac of 53.5 V, 79.5 V, and 45 V.

4 Conclusion

In this study, graphene was grown using the CVD method. Synthesis of large-area graphene was rapidly achieved within 0.5 min of growth time using hydroxyl-bonded methanol instead of methane, which is commonly used in CVD graphene growth. Raman spectrum analysis was conducted, and it revealed that similar high-quality graphene was formed through comparison with graphene grown for 10 min with methane having a G peak of approximately 1585 cm−1 and intensity of 2D/G of 2.3 or more. The characteristics of graphene, according to the growth time, were confirmed by the relative comparison between the G, 2D, and D-peaks in the Raman spectra. Through the growth of graphene by the methanol precursor, within 1 min of growth time under conditions identical to those of pristine graphene by methane, which has the same carbon precursor partial pressure, the same number of carbon atoms supplied on the catalytic substrate was enough. The electrical transport characteristics of graphene confirmed that 1 min is enough growth time. Positive values of Dirac points were confirmed for all graphene growth times; at 0.5, 1, and 5 min, they were VDirac = 53.5 V, 79.5 V, and 45 V, respectively. Based on the induced carrier concentration of 1 × 1012 cm−2, graphene grown for 1 min using a methanol precursor has a hole and electron mobility comparable to that of pristine graphene by methane, which was shown to be over 1500 cm2 V−1 s−1 in hole and electron mobility. It is expected that graphene grown by methanol can be used as a mass production method for graphene, which has a throughput ten times higher than that of graphene by methane. It can also be used in high-performance electronic devices based on its p-type characteristics, which can be adopted in the field of diodes, BJT (bipolar junction transistor), CMOS (Complementary metal–oxide–semiconductor), and solder cell electrodes.