Abstract
Miniaturized spectrometers are of considerable interest for their portability. Most designs to date employ a photodetector array with distinct spectral responses or require elaborated integration of micro & nano optic modules, typically with a centimeter-scale footprint. Here, we report a design of a micron-sized near-infrared ultra-miniaturized spectrometer based on two-dimensional van der Waals heterostructure (2D-vdWH). By introducing heavy metal atoms with delocalized electronic orbitals between 2D-vdWHs, we greatly enhance the interlayer coupling and realize electrically tunable infrared photoresponse (1.15 to 1.47 μm). Combining the gate-tunable photoresponse and regression algorithm, we achieve spectral reconstruction and spectral imaging in a device with an active footprint < 10 μm. Considering the ultra-small footprint and simple fabrication process, the 2D-vdWHs with designable bandgap energy and enhanced photoresponse offer an attractive solution for on-chip infrared spectroscopy.
Subject terms: Sensors, Two-dimensional materials
Miniaturized infrared spectrometers are required for imaging and remote sensing applications, but they are usually characterized by a cm-scale footprint. Here, the authors report the realization of near-infrared spectrometers based on Au-atom-intercalated ReS2/WSe2 heterostructures with an active footprint < 10 μm and electrically tunable photoresponse.
Introduction
Spectrometers are essential instruments in modern scientific research and engineering production, for instance, geological prospecting, medical examination, spectral imaging, and remote sensing. Most spectrometers are bulky and expensive due to their complex mechanical parts, including motorized optical gratings and interferometers1,2. Miniaturized spectrometers with a significant cost and footprint reduction are attractive for portable analytic tools, smart wearable devices etc3–5. There are two typical underlying strategies for compact spectrometers. One approach is to integrate photodetectors with three types of separate optical elements6–12, including spatially dispersive grating, tunable filter arrays, and Fourier transform interferometers13–17. It has been shown that this strategy provides excellent performance but is difficult to scale below the sub-millimeter scale due to the negative impact induced by fundamental physical limitations in optical path length. The other approach is to employ multifunctional photodetector arrays such as nanowire with spatial compositional gradients18 and structural vertical silicon nanowire arrays19, with special computational reconstructive algorithms. These reconstructive spectrometers require not optical components and can be readily scale down to sub-millimeter footprints. However, infrared (IR) band operation, precision manufacturing complexity, as well as the trade-off between footprint and number of photodetectors remains challenging.
The van der Waals heterojunctions (vdWH) formed between distinct 2D transition metal dichalcogenides (TMDs) with type II energy band structure alignment provides a versatile platform for exploring interlayer excitons20–23. With the conduction band minimum (CBM) and valence band maximum (VBM) of the heterojunction localize in different layers, such typical type II heterojunctions opens a tunable degree of freedom to engineering interlayer optical transition in the IR regime beyond the limit of the intrinsic optical band gap of the constituent material24. Indeed, direct observation of interlayer optical excitation (IEX) infrared photoresponse was reported25. Meanwhile, with the strong electrically reconfigurable feature26–31, the type-II 2D-vdWH offer an intriguing system for electrically tunable infrared photoresponse. Unfortunately, the transition dipole moment of the interlayer exciton, as well as oscillator strength of IEX is usually too weak in 2D-vdWH to achieve effective photodetection and significant photoresponse, because of the spatial separation between electron wavefunctions (at CBM) and hole wavefunctions (at VBM) in different layers32.
Herein we report a generic method to enhance the interlayer transition dipole moment of IEX in 2D-vdWH, by intercalating heavy metal atoms (e.g., Au atoms) at the interface of 2D-vdWH (ReS2/Au/WSe2). Our first-principles calculations indicated that the transition dipole moment of the interlayer exciton is enhanced significantly due to the delocalized orbitals of Au atom bridging the heterobilayers, which is confirmed by the strong photoresponsivity with roughly two-times increasing. Furthermore, we show ReS2/Au/WSe2 exhibit a unique gate-tunable near-infrared (NIR) photoresponse. Exploiting the gate-tunable photoresponse and the ridge regression algorithm, we realize an ultra-miniaturized NIR spectrometer and spectral imager with a footprint of 6-microns.
Results
Device scheme and theoretical study
The schematic diagram of the 2D-vdWH spectrometer and its electrical contact is shown in Fig. 1a. Figure 1b shows a typical Type II band energy of the designed 2D-vdWH, depicting two types of transition channels with (1, 2) intralayer transition and (3) interlayer transition, where interlayer exciton holds low energy to IR band than that of the intralayer exciton. Therefore, the heterojunction of WSe2/ReS2 could be applied as the NIR materials since their IEX energy is less than 1.2 eV33. Furthermore, by coupling with a back-gate electrode to tune the relative band alignment between the top and bottom-layer, the NIR interlayer transition can be further tuned by the vertical gate field, which is essential for constructing a single device spectrometer by using regression algorithm.
However, the spatial separation between electrons in CBM and holes in VBM leads to a very small overlap between their wavefunctions, resulting in the weak transition dipole moment <Ψ1|M|Ψ2>. Hence, the interlayer oscillator strength is approximately at least 2 orders of magnitude smaller than that of intralayer transition24,25, and it is thus difficult to subsequently measure the gate-voltage tunable spectral photocurrents. More overlaps between electron wavefunction and hole wavefunction could enhance the transition dipole moment as well, which may be achieved by reducing the interlayer distance34,35 by using hydrostatic pressure in a diamond anvil cell36, which is not easy to maintain for practical applications. Alternatively, intercalating heteroatoms with delocalize atomic orbitals37 may offer another approach to enhance the interlayer coupling to achieve higher transition dipole moment of IEX. To explore this concept, we introduce heavy metal Au atoms between 2D heterobilayers to form a ReS2/Au/WSe2 sandwich structure, in which Au atoms with a large atomic radius and delocalized electronic orbital could enhance wavefunction overlaps between electrons (in CBM) and holes (in VBM), respectively.
We have first conducted first-principles simulations of two modeling structures, (i) ReS2/Au/WSe2 with Au intercalation, and (ii) pristine ReS2/WSe2 as a control, to determine if the former one can enhance the infrared absorption of the interlayer exciton in 2D-vdWH. The electronic band structure calculations, including transition dipole moment elements and partial charge distributions, were performed using density functional theory (DFT). The band structure of pristine 2D ReS2/WSe2 heterostructure presents a standard type-II band alignment, where the CBM is localized on the ReS2 layer, and the VBM is mainly contributed by the WSe2 layer (Fig. 1c), respectively. The indirect bandgap (Γ to K) and the direct bandgap (Γ to Γ) were obtained as 0.7 eV and 1.14 eV in theory. Meanwhile, we also confirm the theoretical exciton energy of monolayer (ML) WSe2 (1.6 eV) and ReS2 (1.5 eV) (see Supplementary Fig. 1). The direct interlayer charge transfer exciton should be weak at the ReS2/WSe2 interface since the VBM and CBM are separated and localized at different layers. The indirect ReS2/WSe2 bandgap transition also has to satisfy the momentum conservation with the phonon-assisted exciton hopping, which lowers the absorption of interlayer ReS2/WSe2 exciton. Therefore, such indirect transition is also expected to be weak.
We then focus on enhancing the absorption of direct bandgap, which is still based on the interlayer transition in infrared spectroscopy (1.14 eV). The d-orbital of heavy metal Au atom has a strong non-locality effect, which could assist overlap between electron and hole of charge transfer exciton and enhance the ReS2/WSe2 interlayer transition. Following the Au intercalation (ReS2/Au/WSe2), we obtained an energy-stable structure by employing the DFT method (Fig. 1d). The intercalation of Au atom is right in the center of the hexahedral cavity consisting of three S of ReS2 and three Se of WSe2, The strength of interlayer charge transfer exciton from the VBM (in WSe2) to the CBM (in ReS2) at the Γ point can be derived by the transition dipole moment () as following equation38
1 |
Where and are the wavefunction of the initial and final states, respectively; and is the position operator along the direction, which is perpendicular to the ReS2/WSe2 interfacial surface (named as Z direction). With the assistance by the delocalized electronic orbital of Au atom, the (between VBM and CBM) increases from 2.2 Debye up to 2.7 Debye. More importantly, the Au atom significantly promotes the wavefunction overlapping between holes and electrons (Fig. 1d). If we consider the absorption is proportional to the square of transition dipole moment, the absorption can be enhanced by ~1.5 times. Similar delocalization is observed in the twisted heterojunction considering the randomness of spatial alignment between ReS2 and WSe2 (See Supplementary Fig. 2 for detail).
The electrically tunable photoresponse is of great importance to realize the function of a miniaturized spectrometer. Due to the excellent gate controllability related to their atomic thickness, 2D semiconductors usually are convenient to tune the bandgap energy by applying an external gate voltage to control the electronic state distributions of the unfilled conduction band39. To confirm that the gate voltage can better control the WSe2/ReS2 bandgap by redistributing the electronic states in the conduction band, we apply a gate voltage to the ML WSe2-ML ReS2 transistor (See Supplementary Fig. 3). We predict the device’s density of states (DDOS) with ab initio electronic structure calculations and quantum transport simulations. DDOS is a direct way to reflect the real space energy band distribution in transistors. The bandgaps Eg of the transistor are determined from the energy difference between the CBM and VBM. The calculated bandgaps are 1.05, 0.99, 0.92, 0.84, 0.82, and 0.78 eV with the gate voltage at −17, −19, −21, −23, −25, and −28 V, respectively (Fig. 2).
Optical properties characterization
The Au intercalated 2D-vdWH was fabricated to further achieve experimental demonstration (See method for fabrication detail). The Raman spectra the ReS2/Au/WSe2 sample indicates that the 2D-vdWH are constructed successfully (Fig. 3a)40,41, while the lattice vibration modes of both materials are barely affected by the sandwiched Au. The thickness of ReS2 and WSe2 are MLs (see Supplementary Figure 4). Meanwhile, energy dispersive X-ray spectroscope (EDS) mapping illustrates the existence of Au (Supplementary Fig. 5)42. Furthermore, the high-angle annular dark field transmission electron microscope (HADDF-TEM) image clearly resolves the Au atom right on the top of wolfram (W) atom (Fig. 3b, c) at its energy favorable configuration, which is consistent with the theoretical calculation (Fig. 1d). To confirm that Au atoms enhance the IEX photoresponse in the heterojunction, we have investigated the absorption spectra of ReS2/Au/WSe2, ReS2/WSe2, ReS2, and WSe2 at room temperature and 80 K (Fig. 3d). Compared with the single MLs with a cutoff wavelength below 900 nm, the heterojunctions show a broader absorption in the near-infrared range. Notably, the heterojunction with Au exhibits a clearly enhanced absorption (by nearly 2 times) in the infrared regime, which is consistent with the theoretical calculation results.
Photoresponse characterization
We have further evaluated I-V curves of ReS2/Au/WSe2 device excitated by different wavelength of light (Fig. 4a, b). When VIS light irradiates, the device shows a photovoltaic effect with a large open-circuit voltage of 0.3 V, which proves effective charge transfer and strong coupling of the heterojunction usually appearing in a well-fabricated type II heterostructure43. Moreover, the extra infrared photoresponse is observed. Figure 4c shows the measured spectral photocurrents, where the photoresponse in NIR range is deduced from the interlayer transition according to the absorption spectrum. Photoresponsivity comparison between pristine ReS2/WSe2 heterojunction and Au intercalation ReS2/Au/WSe2 heterojunction is shown in Fig. 4d during the full photoresponse range. Overall, we see a roughly two-time higher photoresponse in ReS2/Au/WSe2 heterojunction when compared that in ReS2/WSe2 within the IEX photoresponse range. The time and power dependences of IEX photoresponse (Fig. 4e, f) illustrate that this 2D-vdWH device exhibits fast response time (around 20 ms) and a linear relationship of photocurrent versus light intensity (slope extremely close to 1). The fast temporal response and the well-defined relationship is essential for the realization of spectral reconstruction, especially in the scanning imaging by the designed device. We then investigate the relationship between Vbg and spectral photoresponse. Because the calibration of responsivities R as a function of wavelength and Vbg is the precondition to realize the function of spectrometer18,44. Finally, the responsivity matrix R (Vbgk, λ) related to wavelength and gate voltage is obtained. With the increase of negative Vbg from −17 V to −29 V, the cut-off wavelengths are from 1150 nm (1.07 eV) to 1470 nm (0.84 eV) (Fig. 4g, h). Interestingly, the experimentally measured bandgaps reduce 0.23 eV, which is in good agreement with our theoretical prediction (0.27 eV, Fig. 2). The variable spectral photoresponse range is the key point to realize this type of reconstructive spectrometer. Therefore, the operation range for this device could be determined as ~1150 to 1470 nm, where the spectral photoresponse of the device could be well tuned by varying Vbg from −17 to −29 V. More details for the principle of this spectrometer are provided in Method. In addition, more devices by randomly stacking the constituent layers with no control on their orientation are fabricated and characterized to demonstrate the reproducible mechanism (Supplementary Figs. 6 and 7).
Spectroscopy and imaging demonstration
With the calibration of R (Vbgk, λ), the function of a spectrometer and the spectral imager are demonstrated with this designed 2D-vdWH. Figure 5a shows a schematic diagram of the active spectral imaging system and its operational principle. To reconstruct an unknown incident spectrum, there are two steps as shown in Fig. 5b. Firstly, photocurrents matrix at different Vbg is probing under the reflected spectra by the object. Secondly, spectra are reconstructed by the regression algorithm based on the calibrated R (Vbgk, λ). In addition, both the spatial and Vbg dependences of photocurrents need to be recorded to complete spectral imaging, i. e., the data cube. The crucial formula follows,
2 |
which can be transformed into a matrix Ik = RT[Vbgk, λ]·F[λ] by discretized approximation. To verify the capability to reconstruct varied incident-light spectra, two types of modulated input light are irradiated and spectral responsivity values at 25 different Vbg are applied (i.e., N = 25).
For the first case, three monochromatic lasers around 1220, 1310, and 1410 nm modulated by monochromator are measured, respectively. From Fig. 5c, it can be seen that the reconstruction spectra for all the three monochromatic lasers with approximate resolution of ~20 nm are of excellent agreement with the actual situation, which demonstrates that the applied regression algorithm works well. For the second case, broadband incident light modulated by optical filters is measured. Simultaneously, scanning spectral imaging is demonstrated in this stage. The imaging target is the combination of the graphical logo “B” and abbreviations “BJUT” of Beijing University of Technology, as shown in Fig. 5a. For each spatial position (X, Y), spectral information can be reconstructed to obtain the final spectral data cube (X, Y, λ), according to the principle shown in Fig. 5b. Then, the practical scanning image under broadband light is displayed in Fig. 5d. Obviously, the shape and edge in the image are very clear, consistent with the target. Picking up the spectral information of position A, of which the spectrum is shown in Fig. 5e. It is in good agreement with the reference result by conventional commercial equipment. If false colors are endowed during the NIR wavelength range between 1300 to 1470 nm, spatial distribution at some selected monochromatic wavelengths would be able to be extracted as schematically shown in Fig. 5f.
Furthermore, a comparison of this 2D-vdWH spectrometer or spectral imager with some other typical miniaturized spectrometers for their footprints, operational spectral ranges, and mechanisms is summarized in Fig. 6 (see Supplementary Table 1 for more detail). Bounding free with those detector arrays or complex mechanical compositions, the demonstrated electrically tunable 2D heterojunction spectrometer has a distinct advantage in footprint with only 6 μm. In fact, it can be scaled-down to sub-micron further for this type of miniaturized spectrometer. Moreover, a designable energy band structure by different material combinations could easily extend the operational spectral range to IR wavelengths. Specially, a compact reconstructive spectrometer with a single black phosphorus photodetector was reported recently44, taking advantage of the tunable energy band of black phosphorus in the mid-infrared band. It further illustrates the possibilities for designing a micro-spectrometer available with an electrical tunable method. Although the example of the scheme here is a NIR 2D-vdWH spectrometer, it could be further extended to the MIR band by selecting other materials depending on the energy band engineering, such as HfS2/WS245. Notably, the proposed strategy with Au atoms enhanced interlayer coupling and transition in this work possesses the potential for designing an IR spectrometer and spectral imager in terms of the material ambient stability.
Discussion
In conclusion, we designed an electrically tunable 2D materials heterojunction-based near-infrared spectrometer and spectral imager. To demonstrate the spectroscopy function, a universal approach with heavy metallic atoms enhancing interlayer excited state transition dipole moment in 2D heterojunction is proposed. Following theoretical simulation prediction, experimental measurement confirmed that intercalating heavy metallic atoms can enhance the IEX photoresponsivity, enabling the efficient probing of an electrically tunable infrared photoresponse. Since our design does not have any integrated precise optical components or closely packed detector array structures, the footprint scales down to 6 μm. Considering the advantages of interlayer exciton absorption, i.e., designable interlayer transition energy by different materials combination and strong electrical tunability, the demonstration of this ultra-miniaturized near-infrared spectrometer shows an alternative way towards on-chip spectroscopy instruments over an extremely wide spectral range in future.
Simultaneously, we have to pay attention to photoresponsivity. The little wave function overlap between electrons and holes for interlayer exciton becomes the most critical limiting factor for light absorption, further the photoresponsivity. Although we have proposed an effective strategy by introducing metal intercalated vdWH to realize enhancement of optical absorption of interlayer exciton, it is still finite. More experimental efforts are required to solve this issue. First of all, more metal species such as Pt, Pd, etc. are valuable to be explored in order to achieve higher enhancement of the absorption in view of the latest developed metal single atom fabrication technique46. Next, enhancement of light matter interaction by the micro-nano optical component, e.g., plasmon, cavity or metasurface, is another potential way to increase optical absorption of interlayer exciton, which is inspired by the effective tuning of organic charge transfer (CT) state by optical microcavity coupling47. In addition, the construction of polar janus 2D material heterostructure with broken mirror symmetry, reduced layer spacing and an intrinsic vertical dipole moment may be potential to strongly enhance the interlayer coupling48. Moving forward, it is necessary to contribute more efforts to better reflect the advantages of optical absorption of interlayer exciton in future optoelectronic applications.
Methods
Device fabrication
Construction of the ReS2/Au/WSe2 heterojunction includes three steps. ML WSe2 sample is firstly exfoliated on the Si/SiO2 (285 nm) substrate by polydimethylsiloxane (PDMS) assisted dry transfer methods49. Then Au atoms are deposited on the WSe2 by a classical photocatalysis method50,51. A solid particle of HAuCl4·xH2O (Aladdin, 0.03 g) was dissolved in mixed solvent of 9.5 ml deionized water fixed with 0.5 ml methanol. The sample was immersed in the Au3+ solution and subject to ultraviolet (UV) light with 365 nm irradiation for 1 min, followed by a deionized water cleaning process and drying process at 80 °C for 6 h. The detailed chemical reaction process is below:
3 |
4 |
After that, ReS2 ML is exfoliated and overlapped on the WSe2. To enhance the interlayer coupling, mild vacuum annealing at 250 °C for 5 h was processed. Electrical contacts Ti/Au (10 nm/70 nm) were fabricated by the UV lithography technology (SUSS MJB4) and e-beam evaporation (HHV FL400), followed by a lift-off process.
Materials characterization
The morphology of heterojunction is characterized by optical microscopy (Olympus BX 51). To verify the molecular vibration modes and the optical band gaps of the applied 2D materials, a confocal Raman spectroscope (WItec alpha 300) is used to measure the Raman spectra and PL spectra at room temperature. To further characterize the thickness of the heterojunction, finer surface topography is performed by atomic force microscope (Bruker Multi-Mode 8). To prove the existence of Au atoms, scanning transmission electron microscope & energy dispersive X-ray spectroscope (Titan-G2) operated at 200 kV accelerating voltage is employed to observe the atoms arrangements and obtain the distribution of elements. To calculate the Fermi level of each material in heterojunction, surface potential of the components of heterojunction is tested by a Kelvin probe force microscope (Bruker Multi-Mode 8).
The absorbance was measured by Fourier-transform infrared (FTIR) spectrometer (Bruker Vertex 80v and Hyperion 2000 microscope). Quartz was used for the substrate. As is known, the absorbance for extra-thin film on transparent substrate is related to the differential reflectance spectra ΔR/R 52,
5 |
where Rsam and Rsub is reflection spectrum for the sample on the substrate and bare substrate, respectively. ns is the reflective index of the substrate. A is absorbance of sample.
Photoresponse characterization
The heterojunction device was encapsulated in the low-temperature chamber (Linkam, HFS600E-PB4) for the photoresponse characterization at 80 K. All the electrical and optoelectrical measurements were processed by a semiconductor parameter analyzer (Agilent B1500A). The light source for calibration of responsivities R (Vbg, λ) is a supercontinuum light source (SuperK Extreme, NKT Photonics), of which the light is modulated by the monochromator (SOL Instruments, MS 2004i) and optical chopper. In addition, the power at each wavelength was equalized by an adjustable attenuator during the calibration.
DFT calculation
The first principles calculations based on density functional theory (DFT) were performed on a 6 × 6 × 1 supercell. The calculations were implemented in Vienna Ab-initio Simulation Package (VASP)53 code with Perdew, Burke, and Ernzerhof (PBE) generalized gradient approximation (GGA)54 for exchange-correlation. Since the two layers of materials are combined through van der Waals force, the D3 method was employed for structure optimization, which was developed by Grimme et al55. The cut-off energy was set to 450 eV. The atomic structures were relaxed until the forces on each atom are below 10−2 eV/Å and the convergence of total energy is lower than 10−5 eV. The vacuum layer thickness is larger than 15 Å and the Brillouin zone was sampled by a set of 1 × 1 × 1 K-mesh. The transition dipole moment elements and the unfolded band structures are obtained by Vaspkit56. The highest occupied energy levels in band structures were set as 0 eV.
Electrical tunability calculation
Two-terminal model of the heterostructure device is built with 6.86 nm ML 2 × 2 WSe2−1 × 1 ML ReS2 as channel and the doped ML WSe2-ML ReS2 as electrodes. A vacuum space at least 16 Å is set perpendicular to the surface of the device to avoid the spurious interaction between periodic unit. According to our experiences in previous work, a 5 nm channel is enough to present CBM and VBM of 2D semiconductor FETs. The lengths of the left and right electrodes are semi-infinite. The device density of states (DDOS) is calculated by using DFT coupled with the non-equilibrium Green′s function (NEGF) method, which are implemented in the Quantum ATK 2020 package57–59. Transmission coefficient ( is a reciprocal lattice vector point along a surface-parallel direction (orthogonal to the transmission direction) in the irreducible Brillouin zone (IBZ)) is calculated as
6 |
where, is the retarded (advanced) Green′s function and represents the level broadening due to the left electrodes and the right electrodes expressed in terms of the electrode self-energies , which reflects the influence of the electrodes on the scattering region. Doble- ζ Polarized (DZP) basis set is employed. The real-space mesh cutoff is of 520 eV, and the temperature is set at 300 K. The electronic structures of electrodes and central region are calculated with a Monkhorst–Pack60 50 × 1 × 50 and 50 × 1 × 1 k-point grid, respectively. GGA of the PBE form to the exchange-correlation functional is applied in both the electronic structure calculations and the quantum transport simulations.
Spectrum reconstruction
For an unknown incident spectrum F(λ), the corresponding photocurrent Ik in a fixed device is expressed as the followed integral from the available photodetectors array scheme10,18
7 |
which can be transformed into a matrix Ik = RT[λ] × F[λ] by discretized approximation. In this work, a series of unique spectral photoresponse with different cut-off wavelength is achieved in a 2D heterojunction by electrical field instead of the complex design for a number of photodetector units. It means that all the detector units with different photoresponse spectral ranges are superimposed to a single unit by its electrically tunable feature. In another words, the signal probing shifts from space to time. When the incident light focuses on the active area of this device, sweep Iph-Vbg is processed to obtain the I = <I(Vbg1), I(Vbg2), …, I(VbgN)>. Then, the formula can be expressed as
8 |
Finally, we utilized recursive least-squares algorithm and ‘ridge’ regression to complete reconstruction process.
Spectral imaging
To achieve spectral imaging, home-building active imaging system was used, where a white light laser source is applied for illumination and our 2D heterojunction device is acting as detection element. The Nikon Ni optical microscope are used and act as beam splitter and mirror. All the optical accessories in this system have good NIR band applicability. The input illumination is reflected by the mirror and focused by the objective lens on the target surface. Then, the light can be reflected by the target. The 2D heterojunction device plays the role of “eye” to collect light information reflected by the target object through this optical system. In addition, an automatic stepping stage is applied for scanning imaging, which enables the detection for reflected light with different intensities or wavelength by the different position of the target object surface. The imaging target is the metal logo with shape of graphical “B” and “BJUT” based on quartz substrate. To ensure that the incident spectrum fits with the operational wavelength range of this device, optical filter (Thorlabs FEL 1300) was used. The spatial scanning steps at both X and Y axis are set as 1 μm considering the focused spot with diameter about 1 μm. With the termination of scanning process, initial photocurrent data cube (X, Y, Vbg) can be established. In the initial data cube, each spatial position contains photocurrent values from each Vbg. After reconstruction, spectrum information at fixed spatial position can be obtained, i.e., spectral imaging data cube (X, Y, λ). The reference spectrum at point A is measured by a commercial spectrometer (Princeton SpectraPro 500i).
Supplementary information
Acknowledgements
The authors are grateful for the financial support from National Natural Science Foundation of China and Beijing Municipal Education Commission. Y.Z. acknowledges the support by the National Natural Science Foundation of China (NSFC, Grants 61922005 and U1930105), Beijing Natural Science Foundation (BNSF, Grants JQ20027). X. Chen acknowledges the support by the General Program of Science and Technology Development Project of Beijing Municipal Education Commission (Grant No. KM202010005005).
Source data
Author contributions
Y.Z. conceived the idea. W.D. carried out most of the experiments with the help of Y.Lu., C.W., L.S., C.Y., S.Li., Y.Wu., X.Li., and B.An. Z.Z., J.Li., and R.Z. performed the theoretical study. X.C. and D.Z. developed the analyzing computer programs. Q.W. and Z.L. provides assistances for materials characterizations and discussion. W.D., Y.Z., X.D., Z.Z., Q.W., X.C., D.Z., and J.Li. analyzed the data. W.D., Y.Z., and X.D. co-write the paper with input from all authors. Y.Z. and X.D. supervised this project. All the authors discussed the results and commented on the manuscript.
Peer review
Peer review information
Nature Communications thanks Shi-Jin Ding and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Data availability
The data that support the findings of this study are available within the main text of this article and its Supplementary Information. Any other relevant data are available from the corresponding author upon reasonable request. Source data are provided with this paper.
Code availability
The algorithm code is available from the corresponding author upon request.
Competing interests
The authors declare no competing interests.
Footnotes
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
These authors contributed equally: Wenjie Deng, Zilong Zheng, Jingzhen Li.
Contributor Information
Xiangfeng Duan, Email: xduan@chem.ucla.edu.
Yongzhe Zhang, Email: yzzhang@bjut.edu.cn.
Supplementary information
The online version contains supplementary material available at 10.1038/s41467-022-32306-z.
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Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
The data that support the findings of this study are available within the main text of this article and its Supplementary Information. Any other relevant data are available from the corresponding author upon reasonable request. Source data are provided with this paper.
The algorithm code is available from the corresponding author upon request.