1 Introduction

In recent decades, rapid development of wireless communications has sparked a keen interest in microelectromechanical switching devices (Rebeiz et al. 2013). MEMS switches combine the advantages of semiconductor switches and electromechanical relays. They have small dimensions of several cubic millimeters, relatively low switching time of about 10 μs and near zero DC power consumption. At the same time, they demonstrate low on-resistance (less than 1 Ω) and superior RF performance (Rebeiz 2003). A significant plus of the MEMS switches is the integration capability. They are mostly based on surface micromachining, which allows fabrication together with other electronic components on a wide range of substrates including Si (Dai and Chen 2006), GaAs (Zheng et al. 2005) and glass (Zhang et al. 2018). Such characteristics make MEMS switches attractive for use in 5G mobile communications (Shekhar et al. 2018), reconfigurable antennas (Haupt and Lanagan 2013; Haider et al. 2013), satellite switching networks (Daneshmand and Mansour 2011) and other applications. In addition, the simplest logic devices (Chakraborty and Bhattacharyya 2010; Tsai et al. 2008) and memory cells (Lee et al. 2011; Chua et al. 2014) based on MEMS switches are demonstrated. MEMS switches are getting closer and closer to replacing bulky and slow electromechanical relays, as well as solid-state switches with poor performance at higher frequencies (more than 10 GHz).

A key element of the MEMS switch is a movable beam that comes in contact with the signal electrode and closes the electrical circuit. Several principles driving the beam motion are implemented: electrostatic (Zareie and Rebeiz 2014; Patel and Rebeiz 2011), piezoelectric (Sinha et al. 2012; Park et al. 2006), thermal (Zolfaghari et al. 2018; Cheng et al. 2014) and magnetic (Schiavone et al. 2014). Electrostatic actuation is the most popular, because it provides low power consumption, high switching speed, simple fabrication and easy integration with transmission lines. The main disadvantage of the electrostatic principle is the high voltage required to close the switch. Devices that ever came to the market had an actuation voltage around a few tens of volt (Happich 2018; Maciel et al. 2012; Seki et al. 2013). Such switches required an external control unit generating high-voltage signals. Some products are equipped with an integrated CMOS chip that provides the actuation voltage of 80 V and requires only 3.3 V DC power supply (Goggin et al. 2015). However, the presence of the built-in driver increases the dimensions, power consumption and cost of the device. Therefore, when designing the MEMS switch, much attention is paid to reducing the actuation voltage.

The actuation voltage is determined by the pull-in phenomenon occurring in the movable mechanical structure of the switch. There are three basic ways for reducing the actuation voltage: shortening the distance between the beam and the driving electrode (Lee et al. 2010, 2013); increasing the overlap area of the beam and the electrode (Kim et al. 2011; Hirata et al. 2000); reducing the stiffness of the beam (Kim et al. 2010; Peroulis et al. 2003; Xiang and Lee 2010; Ansari and Khosroabadi 2018). As a rule, all three methods are used simultaneously, but reducing the stiffness is often preferable, because it does not increase the dimensions and does not degrade the RF performance of the device. Low stiffness is typically achieved by using special shape of the beam. For instance, the switch with double crab-leg springs and the actuation voltage of about 10 V is presented by Kim et al. (2010). Peroulis et al. (2003) report the device with the pull-in voltage of 6 V, which is achieved using meander-type suspensions. Nanoelectromechanical switch based on the cantilever attached to the torsion bar is demonstrated by Xiang and Lee (2010), the actuation voltage of 5.5 V is obtained. The helical spring design together with the reduced air gap between the beam and the transmission line allow actuation at 2.2 V (Ansari and Khosroabadi 2018).

One can see that the desired level of several volts can be reached by selecting the design of the switch. However, in most cases opening of the device is carried out by the elastic force arising in the deformed beam (passive opening). As the stiffness decreases, the opening force also decreases. As a result, a switch with not sufficiently stiff beam becomes susceptible to stiction (van Spengen et al. 2003). In this paper we present the MEMS switch whose actuation voltage can be reduced to 5 V level. At the same time, the device is equipped with the active opening mechanism allowing recovery in case of stiction. This work is a continuation of our previous studies, where the design and preliminary testing of the switch were presented (Uvarov et al. 2016, 2017; Uvarov and Kupriyanov 2018). Here we briefly describe the concept and the fabrication process of the device. Then main part of the paper is devoted to the switch performance. Passive and active opening regimes are demonstrated, pull-in and recovery voltage are measured. Then the resonant properties and response time are discussed. Finally, we investigate the on-state resistance and reliability of the switch.

2 Materials and methods

SEM image of the switch is shown in Fig. 1a. The device is based on a 1-μm-thick aluminum beam attached to the anchors by the torsion suspensions. The beam has a length L of 100 μm and a width w of 8, 16, 24 or 32 μm depending on the design. The suspensions also have the thickness of 1 μm and provide the spring constant of 1.5 × 10−8 N m. The beam is reinforced with longitudinal ribs (Fig. 1b), which increase the bending stiffness and prevent deformation under the residual mechanical stress. Perforation holes of 4 μm in diameter help to speed up the removal of the sacrificial layer from under the beam. The beam plays the role of a source electrode. Gate and drain electrodes are made of 100-nm-thick Pt film deposited on 10-nm-thick Ti adhesion layer. They are placed under the each arm of the beam, so the switch has single-pole double-throw (SPDT) configuration with two symmetric output channels. Platinum contact bumps are located on the bottom side of the beam (one bump per arm, Fig. 1b). Thus, Pt–Pt contact is obtained. Previously, the switches with an air gap g between the beam and the gate electrodes of 1.0 and 1.5 μm were tested (Uvarov and Kupriyanov 2018). The pull-in voltage as low as 12 V was achieved. In order to reduce the actuation voltage further, the batch of samples with g = 0.5 μm is fabricated and extensively investigated in this work. The height of the contact bumps is lowered from 0.5 to 0.25 μm in order to allow the beam movement.

Fig. 1
figure 1

SEM image of the SPDT MEMS switch with the beam width w = 16 μm: a whole design view illustrating the main parts of the device; b side view showing the reinforcing ribs and the contact bump

The switch operates in the following manner. When the driving voltage is applied to one of the gates, the beam tilts towards it under the electrostatic force. At the certain voltage called pull-in voltage (VPI) it touches the drain, and the switch goes to the on-state. When the voltage is removed or reduced to pull-out level (VPO), the beam returns to the initial state under the elastic force of the suspensions and turns the switch off. In case of stiction, i.e. when the elastic force is insufficient to overcome adhesion forces acting between the bump and the drain, the switch retains the on-state. In order to detach the beam from the drain, the voltage is applied to the opposite gate. At the certain voltage called recovery voltage (VREC) the beam sharply tilts to the opposite direction and comes in contact with another drain, realizing the second on-state. Therefore, the design of the switch provides the mechanism, which protects the device against stiction.

The switch is fabricated using four-mask process. The main steps are shown in Fig. 2, the detailed description can be found in Uvarov et al. (2017). Structural materials are deposited by magnetron sputtering and patterned by contact UV lithography, wet etching and lift-off. The commonly used beam material is gold. However, in this work we take aluminum, because it is much cheaper, easily deposited and patterned. At the same time, electrical conductivity σ of aluminum is comparable to gold (σAl = 3.6 × 107 S/m, σAu = 4.1 × 107 S/m). Platinum is chosen as the contact material due to chemical inertness, relatively high hardness of 5.1 GPa and high melting temperature of 2045 K (Ekkels et al. 2009).

Fig. 2
figure 2

Fabrication process of the switch (the device with w = 24 μm is shown): a patterning of the gate and drain electrodes; b deposition of the amorphous silicon (a-Si) sacrificial layer; c formation of the dimples in the sacrificial layer and filling them with Pt; d deposition of the first Al layer and patterning the ribs; e deposition of the second Al layer and patterning the beam and the anchors; f removal of the sacrificial layer by etching in SF6 plasma

The switches are tested in a standard laboratory environment, unpackaged. Measurement equipment is connected to the sample as shown in Fig. 3. Driving voltage (gate voltage, VG1 and VG2) is provided by DC power supply Agilent E3647A. Input voltage (source voltage, VS) is applied to the beam from analog output module National Instruments (NI) PXI-6711. Output voltage (drain voltage, VD1 and VD2) is measured by a multifunction input/output module NI PXI-6143. Driving and output signals are recorded by an oscilloscope PicoScope 5442B. The current ID flowing through the switch is adjusted by load resistors R1 and R2. ID is measured at the one of the channels by a multimeter Keysight 34461A. The equipment is controlled by specially written LabView software via NI PXI-GPIB module.

Fig. 3
figure 3

Connection of the measurement equipment to the switch

Resonant frequency and Q-factor of the switch are measured at a separate experimental setup. The sample is placed in a vacuum chamber providing pressure range from 10−2 mbar to 1 bar. The beam oscillations are excited by sinusoidal voltage applied to the gate from a waveform generator Tektronix AFG 1022. The deflection of the beam is detected by a homemade optical lever unit (Uvarov et al. 2012). Laser light (wavelength λ = 0.63 μm) passed through the optical system is focused on the beam by 20× objective lens. Reflected light illuminates the position-sensitive photodetector connected to a multimeter Keysight 34461A. The resonant curve is measured automatically in the desired frequency range using LabView software.

3 Results and discussion

3.1 Pull-in, pull-out and recovery voltage

Pull-in and pull-out voltage are measured by applying a triangular waveform alternately to both gates. The voltage increases from 0 to 25 V with a rate of 40 V/s, and then decreases with the same rate. The beam is kept under the constant potential VS = 1 V. Closing and opening of the channels and is detected by the sharp change of the drain voltage. It is important that the switch operates in a hot mode. To avoid accelerated damage of the contacts, the output current is limited to 0.1 mA by the load resistors R1 = R2 = 10 kΩ. Under such conditions the switch works without stiction in a passive opening regime.

The experimental values of the VPI and VPO are given in Table 1. Measurements are performed on ten switches of each type, taken from different points of the wafer. As expected, the wider the beam, the lower the VPI. The lowest value of 4.9 V is obtained for w = 32 μm. The spread of VPI from sample to sample of 10–15% is associated with the thickness nonuniformity of the deposited films. The experimental VPI exceeds the results of the finite element method (FEM) simulation presented in Table 1 [the modeling procedure is described by Uvarov et al. (2016)]. The reason is that the lateral dimensions of the beam are slightly smaller than the values implied in the model due to the side undercut of the patterning process. Thus, the area of the electrostatic field is reduced and the VPI is increased. This effect is less pronounced on the wider beams: the discrepancy is only 2% for w = 32 μm. Pull-out voltage is 30–40% lower than the VPI.

Table 1 Pull-in voltage VPI, pull-out voltage VPO and recovery voltage VREC of the switches having different width of the beam w

Increasing VS up to 2 V causes the stiction of the switch. The stiction is overcome by applying a recovery voltage to the opposite gate. In this case, the device operates in an active opening regime. The experimental values of the VREC measured at VS = 2 V are shown in Table 1. VREC always exceeds VPI, since the voltage is applied to the capacitor with an increased air gap. In general, the samples with a wider beam have a lower recovery voltage due to the large overlap area of the electrodes. Thus, the smallest value of 14.9 V is obtained for w = 32 μm. However, a clear dependence of VREC on w is difficult to establish due to the fact that the recovery voltage is determined not only by the switch design, but also by the adhesion force to overcome. The magnitude of this force, in turn, depends on the morphology of the contacting surfaces, the elastic and chemical properties of the contact materials, and the switching conditions (Toler et al. 2013). The fact that the stiction occurs with an increase of the output current from 10 to 20 mA indicates that the crucial role is played by the hot operation phenomena (primarily, the melting of contacts). Wear of the contacting surfaces after the test in a hot mode confirms this statement (Uvarov and Kupriyanov 2018). The values given in Table 1 should be considered as the minimum values of the recovery voltage. With a larger VS a higher contact temperature and, consequently, a higher adhesion force are expected. Therefore, a higher voltage is required to overcome it.

3.2 Resonance frequency, Q-factor and switching time

Resonant properties of the switch are measured at the air pressure p of 0.01 mbar and 1 bar. At the atmospheric pressure the beam oscillations are excited by a sinusoidal voltage of 3 V in amplitude. In vacuum the amplitude of 0.5 V is sufficient to excite the measurable oscillations, because the air damping is reduced. The obtained resonance frequencies and Q-factors are shown in Table 2. The first vibrational mode has the torsional shape, see Fig. 4a. This mode is of primary interest, since it determines the switching speed. The second (bending) mode is also detected, see Fig. 4b. The experimental setup allows finding it only in vacuum, and the oscillation amplitude is rather small in comparison with the first mode. Thus, the second resonant frequency at p = 1 bar and the quality factor are not measured.

Table 2 Eigenfrequencies of the first and the second vibrational modes of the beam predicted by FEM simulation, and the experimentally obtained resonant frequencies and Q-factors
Fig. 4
figure 4

Illustration of the first (a) and the second (b) vibration modes. The beam with w = 24 μm is shown. The other designs have the same mode shapes

The first resonance frequency f1 is in the range from 190 to 300 kHz. It decreases with the increase of w, because the wider beam has the higher effective mass. The resonance frequencies f1,vac and f2,vac measured at p = 0.01 mbar are 2–20% lower than the eigenfrequencies f1,eigen and f2,eigen predicted by the FEM modeling. As in the case of the pull-in voltage, the possible reason is an undercut that reduces the lateral dimensions of the beam and the torsion springs. The frequency of the first mode f1,vac is 2–3 kHz lower than the value f1,atm obtained at p = 1 bar due to the higher damping at the atmospheric pressure.

The quality factor of the samples at the atmospheric pressure Q1,atm is in the range from 7 to 16 and decreases with increasing w. This can be explained theoretically. The main source of energy loss is the air damping. Since the gap g is much smaller than the lateral dimensions of the beam, the squeezed film damping takes place. The damping coefficient c of a rectangular beam with the length L, the width w and the thickness t, oscillating at a distance g from a fixed plate is given by the following expression (Younis 2011):

$$c = \frac{{\eta Lw^{3} }}{{g^{3} }},$$
(1)

where η is the viscosity of air. Q-factor of the resonator with the mass m at the n-th resonant frequency ωn is given by:

$$Q = \frac{{m\omega_{n} }}{c}.$$
(2)

Substituting the expression (1) into (2), we can see that Q is inverse proportional to w3. The decrease of the quality factor with the increase of the beam width is expected. The beam of the proposed switch has a perforation, so the expression (1) must be modified (Younis 2011). However, the correction does not change the dependence of Q on w.

An important parameter of the switch is the switching time. In the case of small damping (Q ≥ 2) the time required to turn the switch on is determined by the following equation (Rebeiz 2003):

$$t_{on} = \frac{3.67}{{2\pi f_{1} }}\frac{{V_{PI} }}{{V_{G} }},$$
(3)

where VG is the gate voltage. Knowing the pull-in voltage and the resonance frequency, the response time for a given VG can be calculated. According to the expression (3), at VG = VPI the switch should go to the on-state in 2–3 μs (the values f1,atm for the calculations are taken from Table 2). Typically, the gate voltage of 1.3–1.4VPI is used in order to ensure the actuation and to keep a reasonable voltage level (Rebeiz 2003). In these conditions the device must be switched on even faster. The time needed to turn the switch off can be estimated as follows (Kaajakari 2009):

$$t_{off} = \frac{1}{{4f_{1} }}.$$
(4)

According to (4), the switch should come to the off-state in 0.9–1.3 μs. The minimum duration of the switching cycle tcycle = ton + toff is less than 5 μs, that corresponds to a maximum operating frequency of 200 kHz. The experimental setup does not allow precise measurement of ton and toff due to the crosstalk between the gate and the output lines. We can only say that these values not exceed 15 μs. Thus, the measurable on–off cycle duration tcycle = 30 μs corresponds to the switching frequency of 33 kHz.

3.3 On-resistance and reliability

Reliability of the proposed switch is studied in the cyclic operation conditions. Rectangular voltage pulses are periodically applied to the gates in such a way that the channels are actuated alternately with the frequency of 2.5 Hz. Such a low frequency provides the switching cycle that is long enough for the equipment to set the required operating mode of the sample and to make all the necessary measurements during the test. The amplitude of pulses is chosen to be 30 V. This value is higher than the largest pull-in and recovery voltage (see Table 1), so it ensures the switching in both passive and active opening regimes. In contrast to the VPI and VREC measurement described previously, in this experiment the switch operates in a cold mode. Input voltage VS is applied to the beam 40 ms after the channel is switched on and removed 60 ms before the channel is switched off. Thus, the hot operation and excessive wear of the contacts are avoided. All the samples are tested at VS = 5 V. Unlike the hot regime, the stiction is not observed. Resistance of the both channels in the on-state Ron is measured at each switching cycle using the resistive divider circuit containing Ron and the corresponding load resistor. The experiments are performed at three levels of the current ID flowing through the switch: 0.05, 0.5 and 5 mA.

Typical dependence of the on-resistance on the number of actuation cycles is shown in Fig. 5. At the beginning of the test the samples have Ron of 150–350 Ω. After a few hundred cycles the resistance starts to fluctuate between 100 and 2000 Ω. Such instability is observed for all the designs. After several thousands of cycles Ron sharply increases up to 100 MΩ that is considered as a failure. It is worth noting that the initial on-resistance at ID = 5 mA is approximately two times lower and more stable than at 0.05 and 0.5 mA (see Fig. 6). The probable reason is that at the higher current the asperities of the contacting surfaces are melted easier, increasing the effective contact area which results in the lowered contact resistance.

Fig. 5
figure 5

Dependence of the on-resistance on the number of actuation cycles for three samples having different w. Measurements are performed at ID = 0.5 mA

Fig. 6
figure 6

Dependence of the initial on-resistance on the beam width

One can see that Ron is rather high for ohmic MEMS switch. The resistance should be less than 5 Ω in order to provide insertion loss lower than 0.5 dB (Rebeiz 2003). Ron consists of two parts (Chen et al. 2007):

$$R_{on} = R_{S} + R_{C} ,$$
(5)

where RS is the sheet resistance of the thin metal film of the drain electrode, the beam and the signal lines, and RC is the contact resistance caused by the current flowing through a small contact area (it is also called constriction resistance). RS cannot be eliminated from the measurement because of practical limitations on the geometry and placement of the contact pads and connecting lines. A significant part of Ron comes from RS that is estimated as 100 Ω. The instability of Ron is caused by RC that includes a resistance coming from the contamination thin film between the metal contacts.

The constriction resistance for a single asperity contact is given by Holm (1967):

$$R_{C} = \frac{\rho }{2a},$$
(6)

where ρ is the electrical resistivity and a is the radius of the contact spot. The model for a is determined by the type of asperity deformation. For a contact force FC less than 200 μN the deformation is assumed to be elastic, and over 200 μN it is plastic (Rebeiz 2003). The contact force provided by the switch is simulated using FEM software. The dependence of FC on the beam width is shown in Fig. 7. The maximum value of 27 μN is achieved by the device with w = 32 μm. Therefore, elastic deformation takes place, and the contact radius is calculated in accordance with the Hertz’s model (Holm 1967):

Fig. 7
figure 7

Simulated dependence of the contact force at VG = 30 V on the beam width

$$a = \sqrt[3]{{\frac{{3F_{C} r}}{{4E^{\prime } }}}},$$
(7)

where r is the asperity peak radius of curvature and E is the is the effective Hertzian modulus derived from:

$$\frac{1}{{E^{\prime } }} = \frac{{1 - \nu_{1}^{2} }}{{E_{1} }} + \frac{{1 - \nu_{2}^{2} }}{{E_{2} }},$$
(8)

where E1, ν1 and E2, ν2 are the Young’s modulus and Poisson’s ratio of the contact one and two, respectively. In order to calculate the contact resistance, detailed information on the morphology of the contacting surfaces is required. Combination of the expressions (6) and (7) shows that Ron is inversely proportional to F 1/3C . Therefore, the switch with a wider beam is expected to have smaller on-resistance. Nevertheless, Ron does not depend on w, see Fig. 7. Precise measurement of the contact resistance is needed to explain this result.

In order to identify the reason of the on-resistance instability and sudden resistive failure of the switch the contacting surfaces are inspected using SEM Zeiss Supra 40. A piece of adhesive tape is glued to the switch and then peeled off to flip the beam over and to make the surfaces observable. Figure 8 shows the contact bump and the drain electrode of the switch failed after 5 × 104 cycles at ID = 0.5 mA. Both parts have damaged areas with the lateral size of about 0.5 μm. Clusters of material are formed on the contact bump possibly due the transfer of platinum from the drain. These clusters are up to 50 nm in height. As a result of their formation, the contact area decreases leading to the increase of RC.

Fig. 8
figure 8

SEM images of the contact bump (a, b) and the drain electrode (c, d) made after 5 × 104 cycles at ID = 0.5 μA. The images a and c are taken at the angle of 90° with respect to the sample surface, the magnification is 30,000. Black circles indicate the damaged areas. Images b and d show the close-up view of the damaged zones. The angle is 20° and the magnification is 100,000

Chemical composition of the damaged regions is measured by energy dispersive X-ray (EDX) analysis using the Oxford Instruments INCA x-ACT detector. Two areas of the drain electrode with the size of 0.5 × 0.5 μm2 are investigated. The area 1 is located at the unaffected surface of the electrode, while the area 2 contains the damaged zone. Data on the chemical composition are presented in Table 3. The damaged area contains approximately 35% more carbon than the clean area. This indicates that carbon accumulates on the contacting surfaces during cycling. This phenomenon is known as contamination or frictional polymerization (Toler et al. 2013). It is widely observed at the platinum group metal contacts (Czaplewski et al. 2012; Song et al. 2013). Several methods of reducing the contamination rate are known, such as hermetic packaging (Czaplewski et al. 2012) and alloying the contact material with Au (Chen et al. 2007). With these methods the contact resistance can be reduced and the lifecycle of the switch can be increased.

Table 3 The results of the EDX analysis

It is worth noting that the area 2 contains slightly less platinum than the area 1. This is due to the transfer of Pt from the drain electrode to the contact bump. Material transfer increases the amount of oxygen and silicon in the X-ray spectrum of the sample, because the thinner Pt layer is more transparent for X-ray radiation generated in the SiO2 isolation layer.

Lifetime of the switch is limited by the sharp increase of Ron and varies from 2 × 103 to 5 × 104 operation cycles. The samples with the narrowest beam fail with the least number of cycles at the all ID values. To all appearance, the extremely low contact force FC = 3 μN is insufficient to break the continuously growing contamination film. Switches with w = 24 μm typically demonstrate the longest lifecycle. At ID = 5 mA the lifecycle is slightly lower than at 0.05 and 0.5 mA. It is connected with the higher temperature of the contact spot that caused intensified wear of the contacting surfaces. In general, the obtained data correspond to the endurance of the switches with the Pt–Pt contact available in the literature (Chen et al. 2007; Song et al. 2013). The stiction is not observed even at the current of 5 mA, which corresponds to the transmitted power of 25 mW. The higher power is not applied because of the limitations of the experimental setup. However, the obtained value of 25 mW is not the limit of the switch capabilities. Further we plan to test the device for transmission of higher power signals.

4 Conclusions

Electrostatically actuated MEMS switch with low pull-in voltage and protection against stiction is presented in this paper. Several designs having different width of the beam are investigated. The switch with the widest beam has the pull-in voltage less than 5 V, that is significantly lower than the driving voltage of the commercially available products. Response time of the device is at the standard level, the switching time does not exceed 15 μs. The device is tested in a DC regime in hot and cold modes. Hot switching leads to stiction, which can be overcome by applying a recovery voltage to the opposite gate. The recovery voltage is higher than the pull-in voltage, it has a value of 15–20 V. However, the active opening regime is characterized by low power consumption, since no voltage is required to maintain the closed state. This regime is attractive for stand-alone systems, including wireless communication devices. In the cold switching conditions, no stiction is observed at the transmitted power up to 25 mW. The switch has a lifecycle from 2 × 103 to 5 × 104 actuation cycles, that is limited by a sharp increase of the on-resistance. The reason is the accumulation of carbon on the platinum contacts. The design with the narrowest beam has the lowest lifecycle, since it provides the lowest contact force. Thus, the probability of stiction failure is minimized due to the active opening mechanism. The main cause of malfunction is the degradation of the contacts. Solution of the contamination problem will significantly increase the reliability of the device. The proposed design can also be used in capacitive MEMS switches.