## Introduction

Since its first successful isolation from bulk graphite, graphene has been extensively studied as a photodetection material1. In addition to being cheap, lightweight and compact, graphene has a number of optical and electrical signatures that make it a unique photodetection material. Specifically, graphene offers (i) unlimited detectable wavelength range owing to the zero bandgap2, (ii) uniform responsivity over the entire spectrum, resulting from the invariant optical absorption (2.3%)3, and (iii) an ultrafast response speed because of the ultrahigh carrier mobility (for the photovoltaic (PV) effect)4,5 and thermal conductance (for the photothermoelectric (PTE) effect)6,7,8,9. Despite these remarkable features, the relatively low responsivity (defined as the photocurrent amplitude per input optical power, in A/W) significantly hinders practical applications of graphene photodetectors. This low responsivity is mainly owing to the weak absorption of light by single layer graphene10. Therefore, various systems have been investigated to assist light-graphene interactions and enhance the responsivity. Among them, the quantum-dot-loaded graphene phototransistor exhibits the highest responsivity gain11,12, but the strong gain comes at the cost of a reduced operation speed (~10 ms, or 100 Hz) owing to the slow quantum dot discharge process. Photonic waveguides have also been utilized to boost the responsivity; however, such structures usually have large and sophisticated device footprints because long waveguides are required to increase the photon-graphene interaction length13,14. A third approach to enhance the graphene photoresponsivity is to utilize plasmonic structures, which relies on the highly confined light-induced surface plasmon oscillations in metallic nanostructures to aid light absorption in graphene15,16,17,18,19. Such systems have a relatively simple device architecture and do not compromise the graphene photodetector operation speed. However, most of the proposed plasmonic-enhanced graphene photodetectors utilize only optical enhancement, whereas electrical junction control (discussed in detail later) is largely neglected. In this article, we propose a system that utilizes both optical and electrical control of a plasmonic-enhanced graphene photodetector and shows superior performance compared to previously suggested designs.

## Results

The key factor in improving the responsivity of graphene photodetectors is enhancing the PTE effect that separates the free charge carriers via a temperature gradient ($$\nabla$$T). This concept originates from earlier works, demonstrating that the PTE effect is the dominant photocarrier generation mechanism in graphene20,21,22,23. In simple words, the majority of charge carriers (electrons or holes, depending on the doping type of graphene) are driven from the hot region to the cold region, and the net charge carrier movement leads to a detectable photocurrent. Typical graphene photodetectors rely on optically induced local heating to generate a PTE current. However, intrinsic graphene sheets convert only 2.3% of incident light to heat, leaving much room for improvement. Plasmonic systems—devices that harness the optically induced unbound electron oscillations in metallic scatterers to enable nanoscale light control24,25,26,27—are promising candidates to generate localized heating, thereby a large T, upon optical illumination28,29,30. However, equally important in graphene photocurrent generation is the uneven electrical doping level (i.e., a junction) at the centre of the $$\nabla$$T to give rise to a nonzero photocurrent31. Otherwise, if the doping level is uniform, then the same type of charge carrier would be driven by the $$\nabla$$T in opposite directions with the same strength, resulting in zero net current. In most plasmonic-enhanced graphene photodetectors, doping is achieved passively by depositing metal contacts on graphene32, and uneven doping, thereby the maximum photocurrent, occurs at the metal contact edges (see Fig. 1 first row). The majority of previously reported approaches do not offer control over the graphene doping level because the doping level in the metal-contacted graphene region is fixed. In this work, we introduce doping control in addition to the widely used optical enhancement via plasmonic structures. Because doping is achieved via electrical gating, we henceforth refer to doping control/enhancement as electrical or junction control/enhancement.

As reported in ref. 20, the PTE effect largely dominates the photocurrent generation mechanism in graphene with channel lengths >5 μm. Thus, in this work, we neglect the competing PV effect (the channel length in our device is 50 μm). The PTE current in graphene is governed by

$$I_{PTE} ={\int\nolimits_0^W} {{\int \nolimits_{ - L/2}^{L/2}} {s\left( x \right)\nabla T_{el}\frac{{{\mathrm{d}}x{\mathrm{d}}y}}{{RW}}} }$$
(1)

where W and L are the width and length of the graphene sheet, respectively, s(x) is the spatial distribution of the Seebeck coefficient (controlled by the doping type and level in graphene), Tel is the electron temperature, and R is the total resistance of graphene. To better illustrate the graphene PTE current generation mechanism, we simplify Eq. 1 by considering only one dimension (along the x direction) and create a series of schematic illustrations in Fig. 1. The illustrations are categorized into four cases (rows), depending on the optical heating and electrical junction enhancement scenarios. The last column of Fig. 1 depicts the integrand of Eq. 1, and the PTE current is directly obtained by calculating the area under each curve, with the red-shaded area denoting the positive contribution and the blue-shaded area denoting the negative contribution. Case 1 represents the most pristine graphene photodetectors, which consist of only metal contacts and graphene, with neither heating nor junction enhancement33,34. Note that both the metal contacts and common fabrication-induced contaminants p-dope graphene; thus, s(x) is positive in both the metal-contacted region and exposed region and exhibits a step owing to the difference in the doping levels. As a result, the integrand has unequal positive and negative contributions, resulting in a nonzero PTE current. Some previous works have studied the graphene PTE effect using vigorous electrical junction control without plasmonic enhancement21,22,35, thus belonging to Case 2. Here, a p-n junction is introduced at the centre of the temperature gradient, which ensures a positive contribution to the PTE current on both sides. As mentioned above, plasmonic structures help convert light into local heating (represented by high T(x) and dT/dx profiles in Fig. 1); hence, most of the previously demonstrated plasmonic-enhanced graphene photodetectors16,17,18 fall into Case 3. It is evident that Case 4 with both optical heating and electrical junction enhancements results in the strongest PTE current, which forms the backbone of the design presented in this work.

Figure 1 illustrates the importance of the spatial overlap between the centre of the optical heating area and a p-n junction for maximal graphene photocurrent generation. In this work, we create the p-n junction in graphene using a pair of split gates formed by (from bottom to top) an aluminium (Al)-aluminium oxide (Al2O3)-graphene parallel-plate capacitor structure and deposit Al nanodisks on graphene to form a gap plasmon structure with the underlying Al2O3 and Al layers to enhance the optical absorptance. In this way, the optical heating enhancement (gap plasmon structure) and the electrical enhancement (split gates) are seamlessly combined through their shared components of the Al2O3 and Al layers. More importantly, gap plasmon structures have been shown to exhibit high optical absorptance36,37,38 and are especially efficient in light-to-heat conversion39. The choice of materials is based on two reasons: (i) it is relatively easy to tune the resonance wavelength of the Al gap plasmon structure in the visible spectrum to make colour-sensitive graphene photodetectors; (ii) the high quality of Al2O3 grown on Al guarantees robust electrical gating of graphene. In this work, we investigate the realistic optimal responsivities obtainable in graphene photodetectors that can be produced on a large scale, thus choosing to work with graphene grown by chemical vapor deposition (CVD) because of its compatibility with industry-level fabrication. Figure 2a depicts a schematic illustration of the proposed device and its working principle. A pair of split gates is separated by a tiny gap to ensure electrical isolation between the two gates so that the doping levels on both sides can be controlled independently. As the doping level directly governs the Seebeck coefficient in graphene, we can manipulate the Seebeck coefficients on both sides and create various junction types by electrical gating. Simultaneously, the nanodisk gap plasmon structure absorbs the incident light and creates a localized temperature profile, which then drives the majority charge carriers on the two sides (electrons on the n-doping side and holes on the p-doping side) in opposite directions, leading to a maximized photocurrent. By utilizing a finite element method (FEM) numerical model, we estimated the power dissipation in graphene to be ~14% of the total dissipated power (see Supplementary Information section “Numerical modelling of graphene” for details of the numerical model), which is much higher than that of a graphene sheet without any plasmonic enhancement (~2%). Figure 2b shows a cross-sectional view of the design and illustrates how the split gates and the gap plasmon structure function together. We note that in the fabricated sample, the poor adhesion of nanodisks to graphene somewhat compromises the uniformity of the nanodisk distribution, but this issue can be resolved by introducing a thin Al2O3 layer between the nanodisks and graphene (not investigated in this work).

As the plasmonic structure has more stringent requirements on the layer thicknesses than electrical gating, the bottom-most Al layer and the Al2O3 layer are carefully designed to be 100 nm and 20 nm thick, respectively, to achieve high-optical absorptance in the visible spectrum. The split gates are defined by electron-beam lithography (EBL) with a 150 nm wide gap (taking into account the fabrication limitations), Al metallization and lift-off, followed by atomic layer deposition (ALD) growth of Al2O3. A graphene sheet grown by CVD is transferred onto the Al2O3 layer, and 30 nm thick Al nanodisks are then formed on the graphene sheet by EBL, metallization and lift-off. See the Materials and Methods section and Supplementary Information Fig. S1 for detailed fabrication procedures. Figure 2c presents a close-up schematic view of the gap plasmon structure without the graphene sheet. The nanodisk radius is varied across samples to alter the absorptance spectrum, thereby controlling the responsivity at different wavelengths. We also fabricate a separate sample containing only the gap plasmon structure (i.e., no graphene) for optical characterization because the absorptance measurement requires an area of uniform gap plasmon structure larger than that of the graphene photodetector. In Fig. 2d, we show three spectra measured on three different areas, one without nanodisks (i.e., only 20 nm thick Al2O3 and 100 nm thick Al) and two with nanodisks of radii R = 50 nm and R = 60 nm, and use Fig. 2d as a guideline for the optical absorptance in the nanodisk-loaded graphene photodetectors. Based on the conclusions from ref. 39, on the mesoscopic scale, the optically induced $$\nabla$$T in the gap plasmon structure scales linearly with its optical absorptance. Hence, the responsivity of the gap-plasmon-assisted graphene photodetector is expected to follow the optical absorptance.

## Discussion

We fabricate electrical contacts for electrical characterization under vacuum and room temperature conditions. Figure 3a shows a microscopic image of the fabricated device with R = 60 nm nanodisks, as well as the electrical connections made to the device for graphene electrical resistance (RSD) and photocurrent (IPTE) measurements. We first measure RSD while independently sweeping the voltages VG1 and VG2 on the split gates and show the results in Fig. 3b. The central maximum RSD point indicates the charge neutrality point (CNP), and two orthogonal lines intersecting at the CNP can be drawn to divide the gating condition into four different regimes based on the types of carrier supplied to either side of graphene. The asymmetry in the two gating voltages at the CNP is likely owing to the trapped charges in the Al2O3 layer introduced during the fabrication processes. Next, for the IPTE measurement, a continuous-wave (CW) laser with λ = 638 nm and a power of 32 μW is focused to a spot size of ~10 μm, is modulated by a mechanical chopper at 651 Hz, and illuminates the central area of the photodetector (red spot in Fig. 3a). ITPE is then collected from the source and drain contacts using a lock-in amplifier synchronized with the mechanical chopper. Figure 3c shows the measured IPTE when VG1 and VG2 are swept, from which distinct features can be seen in the four different doping regimes defined in Fig. 3b. In addition, a diagonal line can be drawn along the zero-IPTE line in the p-p and n-n doping regimes. The three dashed lines divide Fig. 3c into six regions exhibiting alternating signs of IPTE, which clearly indicates the dominance of the PTE effect in the photocurrent generation mechanism20,22. It is also evident that IPTE is strongest under the p-n or n-p doping regime, in agreement with our previous discussion. Finally, we measure the IPTE spatial map in the area outlined by the dashed box in Fig. 3a while keeping the gating voltages at VG1 = −2 V and VG2 = 9 V (marked by the star in Fig. 3c). As seen from Fig. 3d, IPTE is maximum at the central line where the p-n junction is created by the split gates and decreases as the laser moves away from this line. IPTE changes sign at the source and drain contact edges owing to the uneven doping between the metal-doped graphene and electrostatically doped graphene (i.e., p(Au)-p+(G1) on the source side and n(G2)-p(Au) on the drain side). We calculate the average IPTE from the gap plasmon-assisted graphene photodetector by taking the average of the measured data points inside the box highlighted in Fig. 3d. The measured responsivity is 52 μA/W on the device with nanodisks of radius R = 60 nm, which has an optical absorptance of 71% at the incident laser wavelength of 638 nm.

To compare the four cases presented in Fig. 1, we measure the photocurrent in different locations of two separate devices both gated to achieve a p-n junction in the centre and show the results in Fig. 4a. One of these devices contains only a graphene sheet (top left in Fig. 4a), and the other is loaded with nanodisks with radius R = 60 nm (top right in Fig. 4a). In both devices, laser illumination of the central line corresponds to the cases of the enhanced p-n junction, whereas illumination of the Au electrode/graphene interface corresponds to an un-enhanced junction, as seen from the reversed sign (because of the p(Au)-p+(G1) doping on the left edge and p(G1)-n(G2) doping at the centre) and lower IPTE amplitude at the edges of Fig. 3d compared to the central area. On the other hand, the nanodisks dramatically increase the optical absorption, thereby $$\nabla$$T, making Device 2 represent the cases of enhanced optical heating. The table in Fig. 4a summarizes the measured responsivities for the four different cases. The absolute values of the responsivities correlate well with the schematic illustrations in Fig. 1, strongly substantiating our prediction as well as demonstrating the power of $$\nabla$$T and junction enhancement. By comparing the photocurrents of Case 4 and Case 1, we conclude that a 25-fold responsivity increase can be achieved with optical and electrical enhancement compared to the generic (un-enhanced) case.

We then repeat the measurement using two additional laser wavelengths (532 and 825 nm) on three devices (no nanodisks and disks with radius R = 50 nm and R = 60 nm). These measurements allow us to investigate the correlation between the optical absorptance and the IPTE responsivity. In Fig. 4b, we plot the average responsivity calculated in the same way as for Fig. 3d versus the measured optical absorptance (see Supplementary Fig. S2 for the measured responsivity maps for all the data points). The red fitting line (note that the red line is a linear fit but appears curved owing to the log–log plot scale and the y axis starting from 3 μA/W) indicates that the responsivity scales linearly with the optical absorptance, agreeing with our previous discussion and design principle that the optically induced $$\nabla$$T, hence responsivity, is directly proportional to the optical absorptance. In addition, the source-drain bias (VSD) can be utilized to enhance the responsivity by creating a static electric field between the two electrodes to facilitate electron harvesting. Figure 4c presents the measured responsivity as VSD is swept from −2.3 to 2.3 V, from which it can be concluded that an additional sevenfold responsivity enhancement can be achieved at 2.3 V compared to zero VSD. All measurements except the one shown in Fig. 4c are performed with VSD = 0 V.

The responsivity can be further enhanced if the following two methods are implemented together with the proposed device architecture: (i) increase the optical absorptance by optimizing the plasmonic system design or implementing photonic crystals40 and (ii) improve the quality of graphene. In this work, the highest optical absorptance achieved is 71%. The optical absorptance can be improved by refining the fabrication process, for example, by introducing a thin Al2O3 layer between the nanodisks and graphene to increase the adhesion between the nanodisks and graphene. As a proof-of-concept demonstration of the device design, this work has been done with CVD graphene; however, it is well known that exfoliated graphene exhibits a stronger photoresponse, and the responsivity is expected to exhibit a significant increment if exfoliated graphene is used in combination with the proposed device design. By utilizing a similar approach, a recent work9 demonstrated an enhanced graphene photoresponse in the THz range, where a pair of split gates acted simultaneously as a gating control and a plasmonic resonator. In contrast to ref. 9, our study demonstrates enhanced performance in another technologically important wavelength range—the visible spectrum. Our study also reveals critical details of the correlation between the optical absorption (thereby heating) and graphene photoresponse.

To compare our work with the earlier reported enhanced graphene photodetectors, we list the key metrics of our work and other relevant works in Table 1 (note: the noise-equivalent power (NEP) for each work is calculated using the formula taken from ref. 9). It can be concluded that although the absolute responsivity (which is highly dependent on the quality of graphene and usually peaks for exfoliated graphene) of our device is not the highest, the obtained enhancement factor outperforms the other demonstrations. In Table 2, we compare our work with select works on a wide variety of photodetectors with various materials and mechanisms. We note that our photodetector can be used over an ultrawide range of wavelengths (although only the visible range is reported here). This is because the PTE effect is wavelength independent. In contrast, other mechanisms are often limited to a certain bandwidth. Overall, our device could provide a critical solution for niche applications where good responsivity, a broad operational bandwidth, and a small device footprint are required.

As the PTE effect has been shown to be the dominant mechanism of photocarrier generation in graphene, we propose a new approach to enhance the graphene photocurrent by spatially overlapping plasmon-induced optical heating and a p-n junction. We design a novel metal/dielectric/nanodisk trilayer device architecture that includes a gap plasmon structure and a pair of split gates to simultaneously realize enhanced plasmon-induced optical heating and enhanced p-n junction control, respectively. Specifically, the bottom metallic layer (with a gap in the centre) serves as the back reflector of the gap plasmon structure, as well as the electrodes of the split gates. The middle dielectric layer constitutes the optical spacer for the gap plasmon structure and the gating dielectric of the split gates to create a p-n junction. Graphene is then placed on the dielectric layer, followed by deposition of the nanodisk array. Although the nanodisks do not play a role in electrical control, they are an essential part of the gap plasmon structure and efficiently convert light into localized heating. With rigorous experiments, we have proved the dominance of the PTE effect in graphene photocurrent generation and showed that with optical heating and electrical p-n junction enhancement, the photocurrent exhibits a 25-fold increase compared to the un-enhanced case. A source-drain bias of 2.3 V can further enhance the photocurrent by sevenfold. The overall thickness of such a photodetector is 150 nm, which is much smaller than that of state-of-the-art semiconductor photodetectors, which are several microns thick. In addition, the relatively narrowband optical absorptance of the nanodisk gap plasmon structure makes it possible to control the colour sensitivity using nanodisks with different radii, eliminating the need for an additional colour filter layer when integrated into cameras. Last, we note that although photodetectors made with exfoliated graphene usually exhibit higher responsivities9,13, they are not suited for large-scale manufacturing owing to the limited size and yield of exfoliated graphene. Our work indicates optimal responsivities that are achievable with CVD graphene, which holds promise for mass production and commercialization. The proposed design represents a leap forward in realizing graphene’s potential in constructing ultrathin, lightweight, and ultrafast photodetectors.

## Materials and methods

### Sample fabrication

The substrate supporting the graphene photodetectors was chosen to be 0.7 mm thick float glass (SiO2) because of its low thermal conductivity to create a relatively high temperature profile on the photodetector surface under laser irradiation, which is conducive to photocurrent enhancement (see the main text). Prior to fabrication, the substrate was sonicated in toluene, acetone, and isopropyl alcohol (IPA) for 5 min each. First, alignment marks were created on the substrate using photolithography, gold (Au) metallization and lift-off. Then, the glass substrate was coated with 20 nm thick chromium (Cr) as a charge dissipation layer for the subsequent EBL step, and 200 nm thick poly(methyl methacrylate) (PMMA) was spin-coated on the Cr layer, followed by 5 min of baking on a hot plate set at 180 °C. EBL and 50 s development in methyl isobutyl ketone:IPA 1:3 was performed on the sample to define the geometry of the aluminium (Al) split gates in PMMA, leaving the underlying Cr exposed in areas that would become Al pads in the final device. Then, the sample was rinsed in Cr etchant CR-16 (KMG Electronic Chemicals, Inc.) for 20 s to remove the exposed Cr, followed by a gentle rinse in DI water. In this step, the 150 nm wide and 30 μm long PMMA strip (which would later become the central gap between the split gates) was very susceptible to the CR-16 rinse time and a strong nitrogen stream; thus, after the gentle DI water rinse, the sample was left in air to dry instead of being subjected to more aggressive nitrogen gun blowing. The sample was then transferred to an electron beam evaporator for Ti (5 nm) and Al (100 nm) deposition and soaked in heated (80 °C) acetone overnight for lift-off to remove Ti/Al in the unwanted areas and define the split gates. After this, the sample was rinsed in CR-16 again to completely etch away the Cr that remained on the sample. Ti (5 nm)/Au (100 nm) electrodes were formed in contact with the Al split gates using photolithography, metallization, and lift-off. To ensure electrical contact between Au and Al, the sample was dipped in buffered oxide etch 1:6 for 5 s before the metallization step to remove the native oxide on Al. Then, 20 nm thick Al2O3 was grown on the Al split gates using ALD as the dielectric spacer/gating dielectric layer (see the main text for a description of this layer). Because Al2O3 grows preferentially on Al, the Au electrodes were not covered in continuous Al2O3 after this step, which is favourable for wire bonding during the later electrical test. Graphene was grown by CVD on copper foil41, transferred onto the sample using the wet transfer technique, and subsequently defined into smaller (100 μm × 50 μm) rectangles on the split gates using photolithography and O2 plasma etching. EBL, Ti (5 nm)/Al (30 nm) metallization, and lift-off were used again to create nanodisk arrays on the graphene sheet. During the lift-off process, some nanodisks were removed from graphene owing to the poor adhesion between Ti/Al and graphene. Finally, photolithography, Ti (5 nm)/Au (100 nm) metallization, and lift-off were used again to make the source and drain contacts to the graphene sheet. The finished sample was wire bonded to a chip carrier and placed in a vacuum chamber for characterization. See Supplementary Fig. S1 for a simplified process flow of the fabrication steps.

### Optical characterization of gap plasmon structures

During the fabrication of the graphene photodetector, we also fabricated a separate sample solely for optical absorptance characterization because the optical characterization technique (WVASE ellipsometer) requires an area of 500 μm × 500 μm of uniform nanodisks to accommodate the incident spot size. The sample consisted of universally 100 nm thick Al and Al2O3 layers (i.e., these layers were no longer defined in the split gate shape but covered the entire substrate) and nanodisk arrays with disk radius R = 50 nm or R = 60 nm. We did not include graphene in the optical samples, which resulted in better uniformity of the nanodisks. A variable angle spectroscopic ellipsometer (J.A. Woollam, WVASE) with linearly polarized incident light was used to measure the reflectance (Ref) spectra on the nanodisk arrays. As transmittance is prohibited by the optically thick Al back reflector and scattering is negligible (reflectance is <0.07% for all non-specular angles at all wavelengths, verified independently with an ellipsometer scatterometry measurement), we calculated the absorptance spectra as Abs = 1 − Ref and show them in Fig. 2d of the main text. As a comparison, we also measured an area with only Al and Al2O3 layers and no nanodisks. Evidently, from Fig. 2d of the main text, the nanodisks significantly enhance the optical absorptance and comprise an essential part in enhancing the PTE current in graphene.