micromachines
Article A Graphene/Polycrystalline Silicon Photodiode and Its Integration in a Photodiode–Oxide–Semiconductor Field Effect Transistor
Yu-Yang Tsai, Chun-Yu Kuo, Bo-Chang Li, Po-Wen Chiu and Klaus Y. J. Hsu *
Institute of Electronics Engineering, National Tsing Hua University, Hsinchu 30013, Taiwan; [email protected] (Y.-Y.T.); [email protected] (C.-Y.K.); [email protected] (B.-C.L.); [email protected] (P.-W.C.) * Correspondence: [email protected]; Tel.: +886-3-574-2594
Received: 25 May 2020; Accepted: 15 June 2020; Published: 17 June 2020
Abstract: In recent years, the characteristics of the graphene/crystalline silicon junction have been frequently discussed in the literature, but study of the graphene/polycrystalline silicon junction and its potential applications is hardly found. The present work reports the observation of the electrical and optoelectronic characteristics of a graphene/polycrystalline silicon junction and explores one possible usage of the junction. The current–voltage curve of the junction was measured to show the typical exponential behavior that can be seen in a forward biased diode, and the photovoltage of the junction showed a logarithmic dependence on light intensity. A new phototransistor named the “photodiode–oxide–semiconductor field effect transistor (PDOSFET)” was further proposed and verified in this work. In the PDOSFET, a graphene/polycrystalline silicon photodiode was directly merged on top of the gate oxide of a conventional metal–oxide–semiconductor field effect transistor (MOSFET). The magnitude of the channel current of this phototransistor showed a logarithmic dependence on the illumination level. It is shown in this work that the PDOSFET facilitates a better pixel design in a complementary metal–oxide–semiconductor (CMOS) image sensor, especially beneficial for high dynamic range (HDR) image detection.
Keywords: graphene; polycrystalline silicon; photodiode; phototransistor; pixel; high dynamic range (HDR) image
1. Introduction The unique structural, electronic, and optical properties of graphene have made this two-dimensional material an attractive subject of research in recent years. While the high carrier mobility in graphene opened the door to its applications in high-speed electronics [1–4], the application of graphene in optoelectronics has also become an interesting and important topic. The linear dispersion of the Dirac electrons in graphene can be utilized for broadband optical detection, and the intrinsic speed of the photodetectors can be very high. Unfortunately, using single-layer graphene for vertical optical absorption led to very low photocurrent responsivities [5–8], normally below or about 10 mA/W, because of the high transparency of graphene over a wide band of light wavelengths [9,10]. Many interesting strategies have been proposed to enhance the optical absorption by the graphene in graphene-based photodetectors. They require specially patterned structures such as waveguides [11], resonant cavities [12], plasmonic nanostructures [13], graphene nanodisks [14], or graphene quantum dots [15,16], and the resultant photocurrent responsivities have been successfully increased. For more responsive optical detection in simple planar, single-layer graphene-based photodetectors, a natural way is to construct a hybrid device in which the role of optical absorber is left to other materials in the
Micromachines 2020, 11, 596; doi:10.3390/mi11060596 www.mdpi.com/journal/micromachines Micromachines 2020, 11, 596 2 of 16 device and the graphene is used as an efficient conductive material for carrier collection. Graphene has been adopted to form transparent electrodes in various solar cells [17–20]. It has also been extensively combined with crystalline silicon (c-Si) and germanium to form Schottky photodiodes [21–32]. In these cases, the transparency of graphene becomes an advantage. Incident light is not blocked by the graphene, and the spectral photocurrent responsivities of the devices are determined by the other combined materials instead of the graphene. Taking graphene/c-Si junction photodetectors as an example, the c-Si is the optical absorber and photocurrent responsivities in the order of 100 mA/W are typically obtained. The performance is similar to that of typical c-Si P/N junction photodiodes and is good enough for numerous applications. Interestingly, while there have been a number of studies studying graphene/c-Si junctions and their application to photodetection [21–31], the study of the graphene/polycrystalline silicon (graphene/poly-Si) junction and its application is rare in the literature. Only Lin et al. have investigated the change in the current density-voltage (J-V) characteristic of a four-layer graphene/p-type poly-Si junction after being influenced by some ultraviolet illumination [33]. No study on single-layer graphene/n-type poly-Si junctions has been reported. However, it may be beneficial to pay attention to this kind of junction because it could have application potential on occasions when poly-Si exists. Metal–oxide–semiconductor field effect transistors (MOSFETs) with a poly-Si gate and poly-Si thin film solar cells are two examples of possible applications. In the present work, a junction made of single-layer graphene and n-type poly-Si was fabricated and characterized. Furthermore, a new phototransistor named the PD–oxide–semiconductor field effect transistor (PDOSFET), in which the graphene/poly-Si junction photodiode (PD) is embedded in a conventional metal–oxide–semiconductor field effect transistor (MOSFET), was proposed and experimentally verified. Analysis showed that such phototransistor is particularly useful in constructing the pixels in complementary-metal–oxide–semiconductor (CMOS) image sensors for detecting high-contrast images in which the brightness is of high dynamic range (HDR).
2. Fabrication and Characterization of Graphene/Poly-Si Junction Before a graphene/poly-Si junction is used for applications, it is essential to have a look at its general electrical and optoelectronic characteristics. For this purpose, samples of graphene/n-type poly-Si junction were fabricated. A 300 nm-thick phosphorus-doped poly-Si film was deposited on an n-type Si wafer by using low pressure chemical vapor deposition (LPCVD) at a temperature of 4 620 ◦C. Because the optical absorption coefficient of poly-Si in the visible light band is between 10 5 1 and 10 cm− [34], the thickness (300 nm) of the poly-Si was chosen to ensure that most of the incident photons could be absorbed when the film was illuminated by visible light. The graphene film was first grown on a copper foil by using ambient pressure chemical ovapor deposition (APCVD) at a temperature of 1040 ◦C and was subsequently transferred onto the poly-Si by using a commonly adopted graphene wet transfer process [35,36]. The poly-Si was partially covered by the transferred graphene film. Afterwards, the wafer was cut into discrete devices, each with an area of about 25 mm2. Silver paste was respectively applied to the surface of exposed poly-Si and the surface of graphene to form the two electrical terminals of the graphene/n-type poly-Si junction. The reason for using silver paste as the contact material was that it could be easily applied to quickly finish sample preparation and it had been tested to form ohmic contacts with graphene and with n-type c-Si. It was speculated that the paste might still form ohmic contacts with n-type poly-Si. Figure1 shows a photo of typical samples placed on glass. Micromachines 2020, 11, 596 3 of 16 Micromachines 2020, 11, x 3 of 17 Micromachines 2020, 11, x 3 of 17
FigureFigure 1. SamplesSamples 1. Samples of of graphene/poly-Si of graphene graphene/poly-Si/poly-Si junction. junction. junction. The The The graphegraphe graphenenene film film filmpartially partially partially covers covers covers the the poly-Si poly-Si the in poly-Si each in each in eachsample.sample. sample.
R SH The The sheetsheet sheet resistanceresistance resistance ( (SHR (SH)R) of of) theof the graphenethe graphene graphene film filmfilm was was measured measuredmeasured by usingby by using using a four-point a four-pointa four-point probe. probe. Valuesprobe. betweenValuesValues between 250 betweenΩ/square 250 250 Ω and/square Ω/square 300 Ωand /andsquare 300 300 Ω wereΩ/square/square obtained werewere forobtained all the for for samples. all all the the samples. Figure samples.2 showsFigure Figure the2 shows 2 Raman shows the Raman spectrum of the graphene after the transfer process. From the 2:1 intensity ratio between spectrumthe Raman of spectrum the graphene of the after graphene the transfer after the process. transf Fromer process. the 2:1 From intensity the 2:1 ratio intensity between ratio the between 2D and the 2D and G peaks, it can be deduced that the transferred graphene is of a single layer [35]. The slight Gthe peaks, 2D and it G can peaks, be deduced it can be that deduced the transferred that the transfe graphenerred graphene is of a single is of layer a single [35 layer]. The [35]. slight The D slight peak D peak indicates that there may be some defects such as wrinkles in the transferred graphene layer. indicatesD peak indicates that there that may there be somemay be defects some suchdefects as wrinklessuch as wrinkles in the transferred in the transferred graphene graphene layer. layer.
Figure 2. Raman spectrum of the transferred graphene layer. It indicates that the graphene is a single layerFigure with slight2. Raman defects. spectrum of the transferred graphene layer. It indicates that the graphene is a single layer with slight defects. OpticalFigure 2. measurement Raman spectrum was of alsothe transferred performed graphene to characterize layer. It theindicates optical that transmission the graphene rates is a single of several Optical measurement was also performed to characterize the optical transmission rates of transferredlayer with graphene slight defects. samples. Graphene films were placed on glass substrates with a 96% transmission several transferred graphene samples. Graphene films were placed on glass substrates with a 96% rate. The total transmission rates of the samples were then measured. All the resultant transmission transmissionOptical measurement rate. The total was transmission also performed rates of tothe charsamplesacterize were thethen optical measured. transmission All the resultant rates of ratestransmission of the graphene rates of films the graphene are between films 97% are andbetween 98% 97% over and a wide98% over range a wide of optical range wavelengths,of optical several transferred graphene samples. Graphene films were placed on glass substrates with a 96% whichwavelengths, is consistent which with is consistent the single-layer with the structure single-lay ofer structure the graphene of the graphene films. Figure films.3 Figure shows 3 shows a typical transmission rate. The total transmission rates of the samples were then measured. All the resultant measureda typical spectrum measured of spectrum the graphene-on-glass of the graphene-on-glass assembly. assembly. transmission rates of the graphene films are between 97% and 98% over a wide range of optical wavelengths, which is consistent with the single-layer structure of the graphene films. Figure 3 shows a typical measured spectrum of the graphene-on-glass assembly.
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Figure 3. Measured total transmission rate of a typical graphene-on-glass sample. The transmission Figure 3. Measured total transmission rate of a typical graphene-on-glass sample. The transmission rate of the glass is about 96%. rate of the glass is about 96%. To see the graphene/n-type poly-Si junction behave like an ohmic junction or a Schottky junction, the darkTo seeI– Vthecurve graphene/n-type of the fabricated poly-Si graphene junction/n-type behave poly-Si like an junctionohmic junction was measured or a Schottky by using junction, the Agilentthe dark 4156a I–V Semiconductorcurve of the fabricated Parameter graphene/n-type Analyzer (Agilent, poly-Si Santa junction Clara, CA, was USA) measured at room by temperature using the withAgilent the 4156a terminal Semiconductor of the poly-Si Parameter set at ground Analyzer potential. (Agilent, Figure Santa4 shows Clara, a typicalCA, USA) result at alongroom withtemperature the I–V withcurve the under terminal the illuminationof the poly-Si of set a halogenat ground lamp. potential. The optical Figure power4 shows of a the typical lamp result was unknown.along with the It can I–V becurve seen under from the Figure illumination4 that the of measured a halogen Ilamp.–V curves The optical do not power show of the the simple lamp exponentialwas unknown. behavior It can be of seen a single from rectifying Figure 4 junction.that the measured Instead, theyI–V curves show do the not typical show behavior the simple of aexponential metal–semiconductor–metal behavior of a single (MSM) rectifying structure junction. with Instead, two asymmetric they show rectifying the typical junctions behavior [37 ,of38 ].a Themetal–semiconductor–metal exponential behavior of the (MSM) curves structure under negative with tw biaso asymmetric indicates that rectifying in addition junctions to the single-layer[37,38]. The grapheneexponential/n-type behavior poly-Si of the junction, curves another under negative rectifying bias junction indicates with that a smaller in addition built-in to potentialthe single-layer and in thegraphene/n-type opposite direction poly-Si exists junction, in the currentanother path. rectifying In this junction case, it should with a besmaller due to built-in the silver potential paste/poly-Si and in junction.the opposite Unlike direction our previously exists in the tested current silver path. paste In/n-type this case, c-Si it junction should thatbe due showed to the ohmic silver conduction,paste/poly- thisSi junction. silver paste Unlike/poly-Si our junctionpreviously appears tested to besilver a Schottky paste/n-type contact, c-Si and junction it forms that an MSMshowed structure ohmic alongconduction, with the this single-layer silver paste/poly-Si graphene/ n-typejunction poly-Si appear junction.s to be a TheSchottky phenomenon contact, thatand theit forms current an underMSM forwardstructure bias along increased with the when single-layer light was graphene/n-type applied to the sample poly-Si also junction. confirms The this phenomenon point. The that reverse the biasedcurrent silver under paste forward/poly-Si bias junctionincreased contributed when light awas photo-generated applied to the electronsample also current confirms to the this forward point. biasedThe reverse graphene biased/n-type silver poly-Si paste/poly-Si junction. junction If the silvercontributed paste/ poly-Sia photo-generated junction was electron ohmic, current the forward to the biasforward current biased should graphene/n-type have decreased poly-Si when junction. the light wasIf the on. silver Although paste/poly-Si the silver junction paste/poly-Si was ohmic, junction the complicatesforward bias the current measured shouldI–V havecurves decreased and it is when no longer the light straightforward was on. Although to extract the the silver exact paste/poly- values of junctionSi junction parameters complicates (e.g., the Richardson measured constantI–V curves and and Schottky it is no barrier), longer straightforward we can still see to that extract the dark the currentexact values flowing of throughjunction theparameters single-layer (e.g., graphene Richards/n-typeon constant poly-Si and junction Schottky increases barrier), exponentially we can still with see increasingthat the dark forward current bias flowing voltage. through The large the ideality single-layer factor, n graphene/n-type, of this disturbed poly-Si forward junction bias characteristic increases wasexponentially found by with curve increasing fitting to forward be about bias 10. voltage. The exponential The large dark idealityI–V factor,curve undern, of this forward disturbed bias impliesforward that bias we characteristic should be able was to found see a logarithmicby curve fitting dependence to be about on light10. The intensity exponential from the dark open-circuit I–V curve photovoltageunder forward of bias the junction,implies that as analyzedwe should below. be able to see a logarithmic dependence on light intensity from the open-circuit photovoltage of the junction, as analyzed below.
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Figure 4. Measured I–V curves of the graphene/n-type poly-Si junction. The voltage is applied to the graphene terminal and the poly-Si terminal is grounded. Figure 4. Measured I–V curves of the graphene/n-type poly-Si junction. The voltage is applied to the grapheneThe general terminal exponential and the po darkly-SiI terminal–V characteristic is grounded. of a junction can be expressed as The general exponential dark I–V characteristic ofV Da junction can be expressed as ID = IS exp 1 (1) V T − = 1 (1) nkT where ID is the junction current, VT = , n is the ideality factor of the junction, Is is the dark reverse q where is the junction current, = , n is the ideality factor of the junction, Is is the dark reverse saturation current of the junction, and VD is the voltage across the junction. When this junction is saturationused as a current PD, the of short-circuit the junction, photocurrent and is the (Iph )voltage of the PDacross isdirectly the junction. proportional When this to thejunction incident is usedlight as intensity. a PD, the If short-circuit at t = 0, a light photocurrent starts to illuminate (Iph) of the the PD junction is directly under proportional the open-circuit to the incident condition, light the intensity.photocurrent If atdoes t = 0, not a flowlight out.starts It chargesto illuminate the junction the junction capacitance under (C theD) and open-circuit internally condition, forward biases the photocurrentthe junction atdoes the not same flow time. out. The It charges dynamics the canjunction be described capacitance by (CD) and internally forward biases the junction at the same time. The dynamics can be described by dVD Iph ID = CD (2) dt − = (2) Solving Equations (1) and (2) by the separation of the variables, with the zero initial condition Solving Equations (1) and (2) by the separation of the variables, with the zero initial condition VD(0) = 0, one can derive that the open-circuit junction voltage under illumination, i.e., the (0) =0, one can derive that the open-circuit junction voltage under illumination, i.e., the photovoltage (Vph), should follow the next equation: photovoltage (Vph), should follow the next equation: Iph + Is V (t) = V ln (3) ph T + (ℎIph+Is )t ℎ( ) = Iph exp[ ] + Is (3) −( VTC+ D ) ℎ + ℎ where Iph is the photocurrent, and t is the exposure time. The logarithmic response of the photovoltage to light intensity (via Iph) is advantageous because it mimics human eyes’ response to brightness. where Iph is the photocurrent, and t is the exposure time. The logarithmic response of the photovoltage Utilizing Vph as the output signal allows one to detect a wide dynamic range of light intensity. Unlike to light intensity (via Iph) is advantageous because it mimics human eyes’ response to brightness. the photocurrent that may easily saturate the subsequent reading circuit at high illuminance, the Utilizing Vph as the output signal allows one to detect a wide dynamic range of light intensity. Unlike photovoltage allows the circuit to function properly because the signal is logarithmically compressed the photocurrent that may easily saturate the subsequent reading circuit at high illuminance, the at high illuminance but still linear at low illuminance. When the incident light is weak or the exposure photovoltage allows the circuit to function properly because the signal is logarithmically compressed time is short, Equation (3) reduces to at high illuminance but still linear at low illuminance. When the incident light is weak or the exposure Ipht time is short, Equation (3) reduces to Vph (4) CD
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