Abstract
A high-speed room-temperature mid-wave infrared HgCdTe photodetector based on graded bandgap structure was reported. This study explores a n-on-p homojunction structure on epitaxial HgCdTe, which achieves a total response time of 1.33 ns (750 MHz) under zero bias voltage at 300 K, which is faster than commercial uncooled MCT photovoltaic photodetectors and MWIR HgCdTe APDs under high reverse bias. The analysis based on one-dimensional equations shows that compositional grading in the absorber layer can form built-in electric field and the transport mechanism of carriers is changed, the model is confirmed by the comparisons of different graded HgCdTe photodetectors. Thereby, this work facilitates design of the high-speed HgCdTe MWIR detectors, and provides a promising method to optimize the ultrafast MWIR infrared photodetectors.
High-performance uncooled mid-wavelength infrared (MWIR) photodetectors are of great significance in communication, sensing, as well as other military and commercial applications
Currently, HgCdTe-based photodetector is one of the most promising detection options due to the superior merits of tunable bandgap, high absorption, high sensitivity, small size, low power consumption and light weight
In HgCdTe photodetectors, photoconductors can achieve a relative high frequency response due to the fast decay of the photogenerated carriers in the absorber region. However, the response time of photoconductors is limited by the minority carrier life time of HgCdTe, and the frequency response can be just below MHz range. The photovoltaic detector utilizes the electric field due to the formation of p-n junction, which can separate the photogenerated carriers in the absorber region and transport the carries to the contacts, so the response time of photovoltaic detector can be much shorter than photoconductors.
Response time and dark current are the key indicators of ultrafast HgCdTe photodetectors. However, the research on the response time and frequency response of MCT photodetector is not fully studied. For LWIR band, high performance HgCdTe photodiodes with more than 30% QE and 1 GHz bandwidth have been achieved in cryogenic temperature (77 K)
Researchers have reported the various applications of HgCdTe MWIR e-APDs, which focused on the dark current, the bandwidth and the avalanche gain. For instance, Rothman et al. successfully manufactured a MWIR e-APD at CEA LETI in 2007, which measured a risetime of t10-90=88 ps and a fall time of t90-10=2.4 ns, the GBW is recorded as 723 GHz
In this paper, we reported a n-on-p homojunction photodiode based on epitaxial HgCdTe, which achieves fast response at 300 K. The HgCdTe photodetector has a fast response time of 1.33 ns (BW=750 MHz) under zero bias voltage at room temperature. The device is fabricated by vapor epitaxial HgCdTe material. The composition grading is inherent to epitaxial process
HgCdTe n-on-p photodiodes fabricated by LPE and VPE HgCdTe materials exhibit obvious advantages in response speed under pulse light source at room temperature, but the frequency response of photodiodes is quite different, the response time is estimated to be 8.7 ns and 1.33 ns, respectively. We establish a one-dimensional model to clarify the underlying transport mechanisms of different graded HgCdTe photodiodes. Device performance analysis revealed that the validity of our model can be confirmed. This study provides a route towards achieving ultrafast MWIR HgCdTe photodetectors and may find various kinds of applications in the promising MWIR regime.
The cross-section views of different graded front side illuminated n-on-p HgCdTe photodetector are shown in

Fig. 1 Schematic of the graded HgCdTe photodetector and energy band structure (a) schematic diagram of HgCdTe photodetector, (b) cross-section view of the graded HgCdTe photodetector. Energy band profiles of p-type MCT material, (c) without grading, (d) with grading, (e) cross-sectional TEM image of the graded HgCdTe materials, and (f) EDS mappings of the structure
图1 HgCdTe光伏器件和能带结构示意图 (a) HgCdTe器件的二维示意图, (b) 梯度能带结构的HgCdTe器件的二维示意图,(c)无组分梯度,(d)有组分梯度的p型碲镉汞材料的能带图,(e) 梯度组分的HgCdTe材料的TEM横截面图, (f) 材料的EDS测试图
The liquid phase epitaxy material is adopted to fabricate photodiodes with Cd component fraction of 0.3 at the top surface of the layer. Vapor phase epitaxy material is applied for larger grading, the composition is varied from 0.57 to 0.31 across the epilayer, and the cross-sectional transmission electron microscopy (TEM) image of VPE materials is depicted in
In graded HgCdTe photodiodes, when the photodetector is irradiated by the MWIR laser, the electron-hole pairs will be generated in absorber layer, the built-in electric filed associated with the bandgap will contribute to the transport of generated carriers. The carriers in the absorber region will transport to the depletion region, and the ion implantation induced electric filed separate electron-hole pairs rapidly. For planar MCT photovoltaic devices, the electron will dominate the carrier transport in p-type layer, the electron mobility is much higher in contrast to hole mobility, so the generated minority carriers are readily evacuated from the absorber region under the built-in electric field, and ultimately leading to the improvement of the frequency performance of the photodetectors.
P-type HgCdTe material is doped by Hg vacancies with a concentration of 1×1

Fig. 2 Device fabrication and the measurement in detail (a) Fabrication process of HgCdTe photodetector, (b) The normalized spectral response spectrum of MCT photodetector based on graded LPE and VPE materials at 300 K, the absorption cut-off wavelength is broadened to 4.6um, (c) I-V curves of LPE MCT photodetector for incident laser powers from 0 to 177.8 µW. The inset describes the photovoltaic mechanism for detecting mid-infrared radiation, (d) Linear plots (bule) and logarithmic plots (red) of dark current in LPE MCT photodetector as a function of bias voltage, (e) The schematic model description of the composition profile and the band diagram associated with the photodiode, and (f) FTIR spectra recorded after continuous etching of the HgCdTe epilayer (d = thickness of epilayer from the CdZnTe substrate after wet etching)
图2 器件的制备和电学性能测试表征 (a) 碲镉汞器件的制备流程示意图, (b) 室温下基于LPE和VPE材料制作的碲镉汞器件的归一化响应光谱,响应截止波长约为4.6 µm, (c) 室温下LPE 碲镉汞器件在入射激光功率为0至177.8 μW时的I-V曲线,(d) 室温下LPE 碲镉汞器件的暗电流与偏压的线性和对数关系图示,(e) 器件组分和能带的原理性建模图示, (f) 连续湿法腐蚀HgCdTe外延层后测得的FTIR光谱(d为腐蚀后的HgCdTe外延层厚度)
To clarify the mechanism of built-in electric field associated with grading Cd composition in HgCdTe photodetector, the composition gradient is measured through Fourier-Transform Infrared (FTIR) spectra, which is shown in
A theoretical investigation of the performance of n-on-p Hg1-xCdxTe homojunction photodiodes with a linear gradient in composition is presented. The composition profile and band diagram of graded n-on-p HgCdTe photodetector are depicted in
For Hg1-xCdxTe, the composition and temperature dependence on band gap (eV) is determined by
. | (1) |
The energy bandgap grading across the p-type graded region is expressed as
. | (2) |
The energy-gap gradient and built-in electric field resulting from the compositional gradient are given by
, | (3) |
. | (4) |
As schematically depicted in
, | (5) |
where Dn is the diffusion coefficient and μn is the mobility of minority carriers, the relationship between them can be depicted as Einstein relation
, | (6) |
where q is the electronic charge, h is Planck’s constant, and k0 is Boltzmann’s constant. The boundary condition of solving continuity
, | (7) |
nz=Wp is the electron concentration at z=Wp, V is the applied voltage, the minority carries generation rate GL (z, λ) is related with the depth of absorber layer and wavelength of infrared radiation. The absorption coefficient α (z, λ) varies with composition in HgCdTe epilayers, GL (z, λ) can be expressed as
, | (8) |
where is the value of the photon flux at z=0, GL (z, λ) can be quite complicated due to the varied absorption coefficient, and the calculation of GL should follow the given average absorption coefficient and cutoff wavelength of infrared radiation. The solution of steady continuity
. | (9) |
The terms resulting from the built-in electric field, “m” and “N,” have a direct influence on minority carries. A1 and A2 are coefficients of the surface recombination velocity Sn at z=0 and can be calculated when at z=Wp correlated with
, | (10) |
, | (11) |
, | (12) |
, | (13) |
. | (14) |
The photogenerated carriers are regarded as the main components in minority carriers. The analysis based on above one-dimensional equations clarifies the optical performance under illumination. The total current includes photocurrent and dark current, where the dark current is induced by thermally generated minority carriers under room temperature. The photocurrent behaviors need to be analyzed in detail and photocurrent density can be obtained by
. | (15) |
The quantum efficiency of graded n-on-p HgCdTe photodiodes η is analyzed due to its influence on detectivity
, | (16) |
, | (17) |
, | (18) |
, | (19) |
, | (20) |
. | (21) |
In n-on-p graded HgCdTe homogeneous diodes the quantum efficiency and photogenerated current dominate the detection ability under room temperature. The built-in electric field due to the grading of energy bandgap grading across the p-type graded region has direct effect on response time of the photodiode. The total response time of photodetectors includes the diffusion time in the graded bandgap HgCdTe absorption layer and the transit time in the drift layer .The frequency response of n-on-p HgCdTe photodetector is limited by electron transport time and 3dB bandwidth of the device can be calculated, the diffusion time and transit time should be given as
, | (22) |
, | (23) |
, | (24) |
, | (25) |
where is the electron mobility under the electric field and is the carrier velocity before enter the drift layer, is the thickness of drift layer, which is formed by ion implantation in p-n junction. The one-dimensional equations based on analysis of graded HgCdTe photodetectors agree well with the optical and electrical performance of graded photodiodes. The built-in electric field induced by composition grading in p-type region has effects on quantum efficiency and response time, which is further confirmed by devices fabricated by LPE and VPE HgCdTe materials. The model is consistent with the measured result, which indicates the accuracy of the fixed model based on n-on-p graded structure.
The impulse and frequency response of the graded HgCdTe photodetectors is further investigated.

Fig. 3 Optoelectronic properties and frequency response of graded HgCdTe photodetectors under laser illumination at room temperature (a) impulse response measurement setup schematics for characterization of ultafast photodetectors, (b) lightwave Component Analyzer (LCA) and network analyzer setup for bandwidth characterization of high-speed photodetecto. (c) relative response versus switching frequency of LPE n-on-p photodetector, showing the 3 dB cutoff frequency of 115 MHz, (d) the relative response as a function of light intensity modulation frequency of VPE n-on-p photodetector, showing the 3 dB cutoff frequency of 750 MHz, (e) time response of the LPE photodetector under 1550 nm femtosecond pulse laser with the pulse width of l00 femtosecond. The repetition frequency of pulse is 80MHz and the analog output signal of LPE photodetector under pulse laser is measured, the curve is extracted from a highspeed oscilloscope, (f) time response of the VPE photodetector under 1550 nm femtosecond pulse laser, (g) time response curve of the LPE photodetector under 2000 nm switching conditions at Ubias= 0 V, (h) the time-resolved photoresponse curves of the VPE photodetector at room temperature under conditions of Ubias= 0 V.
图3 室温下测试HgCdTe器件的光电特性和频率响应表征 (a) 用于表征高速器件的时域脉冲响应的设备原理图, (b) 用于表征高速器件频域带宽的光波成分分析仪(LCA)和网络分析仪原理图, (c) 3 dB截止频率为115 MHz的LPE n-on-p碲镉汞器件的响应与频率的关系图,(d) 3 dB截止频率为750 MHz 的VPE器件的响应与调制频率关系图示,(e) LPE碲镉汞器件在重复频率80 MHz及脉冲宽度为l00 fs的1550 nm激光下的时域响应,(f) VPE碲镉汞器件在激光下的时域响应,(g) 零偏下LPE器件在2 µm纳秒激光下的开关特性,(h) 零偏下VPE器件的开关特性
Material and Structure | Operation Temperature | Wavelength /µm | Responsivity or Quantum Efficiency | Response Time | Calculated Bandwidth | Reversed Bias Voltage | References |
---|---|---|---|---|---|---|---|
HgCdTe p-i-n | 77 K | 10 | 30 % | 1 GHz | 1.5 V |
[ | |
HgCdTe APD | 77.3 K | 5 | 5.0 ns | 145 MHz | 12.5 V |
[ | |
HgCdTe APD | 5.2 | More than 1 ns | 600 MHz | 12 V |
[ | ||
HgCdTe APD | 1.55 | 1.5 ns | 600 MHz | 28 V |
[ | ||
HgCdTe APD | 4.3 | 6.8 MHz | 11 V |
[ | |||
MCT PV | 300 K | 4 | 2 A/W | 6.7 MHz | VIGO | ||
MCT PV | 300 K | 4 | 1 A/W | 8.3 MHz | VIGO | ||
MCT PV | 300 K | 5 | 1 A/W | 8.3 MHz | THORLABS | ||
This Work | 300 k | 4 | 0.3 A/W | 1.33 ns | 750 MHz | 0 V |
In summary, a high-speed room-temperature mid-wave infrared HgCdTe photodetector based on graded bandgap structure is demonstrated. LPE and VPE MWIR HgCdTe photodetectors are designed and fabricated, the devices depict excellent photoresponse at zero bias, showing frequency response of 115 MHz and 750 MHz, which corresponds the measurement under ultrafast impulse laser. The improvement of fast response can be attributed to a larger built-in electric field result from the graded composition gradient in n-on-p structure. Moreover, the analysis based on one-dimensional equations illustrates the influence of graded bandgap on quantum efficiency and response time. The impulse responses of LPE and VPE HgCdTe photodetectors are compared to confirm the validity of one-dimensional model. The improved graded bandgap designs promise faster photoresponse for the detector, which is reliable for ultrafast photonic applications under zero bias and operated at room temperature.
References
Konstantatos G, Sargent E H. Nanostructured materials for photon detection[J]. Nature nanotechnology, 2010, 5(6):391-400. 10.1038/nnano.2010.78 [Baidu Scholar]
Schliesser A, Picqué N, Hänsch T W. Mid-infrared frequency combs[J]. Nature photonics,2012, 6(7):440-449. 10.1038/nphoton.2012.142 [Baidu Scholar]
Galli I, Bartalini S, Cancio P, et al. Mid-infrared frequency comb for broadband high precision and sensitivity molecular spectroscopy[J]. Optics letters, 2014, 39(17):5050-5053. 10.1364/ol.39.005050 [Baidu Scholar]
Luzhansky E, Choa F S, Merritt S, et al. Mid-IR free-space optical communication with quantum cascade lasers[J]. Laser Radar Technology and Applications XX; and Atmospheric Propagation XII. SPIE, 2015, 9465:267-273. 10.1117/12.2189315 [Baidu Scholar]
Liu C, Zhai S, Zhang J, et al. Free-space communication based on quantum cascade laser[J]. Journal of Semiconductors, 2015, 36(9):85-88. 10.1088/1674-4926/36/9/094009 [Baidu Scholar]
Rogalski A. HgCdTe infrared detector material: history, status and outlook[J]. Reports on Progress in Physics, 2005, 68(10):2267. 10.1088/0034-4885/68/10/r01 [Baidu Scholar]
Reine M B. Review of HgCdTe photodiodes for IR detection[J]. Infrared Detectors and Focal Plane Arrays VI. SPIE, 2000, 4028: 320-330. 10.1117/12.391745 [Baidu Scholar]
YE Zhen-Hua, LI Hui-Hao, WANG Jin-Dong, et al. Recent hotspots and innovative trends of infrared photon detectors [J]. J. Infrared Millim. Waves, (叶振华,李辉豪,王进东,等。 红外光电探测器的前沿热点与变革趋势。红外与毫米波学报)2022, 41(1):15-39. [Baidu Scholar]
Verie C, Sirieix M. Gigahertz cutoff frequency capabilities of CdHgTe photovoltaic detectors at 10.6 µm[J]. IEEE Journal of Quantum Electronics, 1972, 8(2):180-184. 10.1109/jqe.1972.1076934 [Baidu Scholar]
Rothman J, Perrais G, Destefanis G, et al. High performance characteristics in pin MW HgCdTe e-APDs[J]. Infrared Technology and Applications XXXIII. SPIE, 2007, 6542:475-484. 10.1117/12.723465 [Baidu Scholar]
Perrais G, Derelle S, Mollar D L, et al. Study of the transit-time limitations of the impulse response in mid-wave infrared HgCdTe avalanche photodiodes[J]. Journal of Electronic Materials, 2009, 38(8):1790-1799. 10.1007/s11664-009-0802-7 [Baidu Scholar]
Rothman J, Foubert K, Lasfargues G, et al. Response time measurements in short-wave infrared HgCdTe e-APDs[J]. Journal of Electronic Materials, 2014, 43(8):2947-2954. 10.1007/s11664-014-3155-9 [Baidu Scholar]
Beck J, Welch T, Mitra P, et al. A highly sensitive multi-element HgCdTe e-APD detector for IPDA lidar applications[J]. Journal of Electronic Materials, 2014, 43(8):2970-2977. 10.1007/s11664-014-3164-8 [Baidu Scholar]
Tobin S P, Hutchins M A, Norton P W. Composition and thickness control of thin LPE HgCdTe layers using x-ray diffraction[J]. Journal of Electronic Materials, 2000, 29(6):781-791. 10.1007/s11664-000-0225-y [Baidu Scholar]
Dhar V, Bhan R K, Ashokan R. Effect of built-in electric field on crosstalk in focal plane arrays using HgCdTe epilayers[J]. Infrared Physics & Technology, 1998, 39(6):353-367. 10.1016/s1350-4495(98)00024-3 [Baidu Scholar]
Hu W D, Chen X S, Yin F, et al. Analysis of temperature dependence of dark current mechanisms for long-wavelength HgCdTe photovoltaic infrared detectors[J]. Journal of Applied Physics, 2009, 105(10):159. 10.1063/1.3130163 [Baidu Scholar]
Daraselia M, Carmody M, Edwall D, et al. Improved model for the analysis of FTIR transmission spectra from multilayer HgCdTe structures[J]. Journal of Electronic Materials, 2005, 34(6):762-767. 10.1007/s11664-005-0017-5 [Baidu Scholar]
Rosenfeld D, Garber V, Bahir G. The effects of built‐in electric field on the performance of compositionally graded P‐on‐n HgCdTe heterojunction photodiodes[J]. Journal of Applied Physics, 1995, 77(2):925-933. 10.1063/1.359020 [Baidu Scholar]
Ariel V, Garber V, Rosenfeld D, et al. Estimation of HgCdTe band‐gap variations by differentiation of the absorption coefficient[J]. Applied Physics Letters, 1995, 66(16):2101-2103. 10.1063/1.113916 [Baidu Scholar]
Schmit J L. Growth, properties and applications of HgCdTe[J]. Journal of Crystal Growth, 1983, 65(1-3): 249-261. 10.1016/0022-0248(83)90057-x [Baidu Scholar]