CN119643985B - Spectroscopy method for measuring built-in electric field intensity on gallium nitride crystal surface - Google Patents

Spectroscopy method for measuring built-in electric field intensity on gallium nitride crystal surface

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CN119643985B
CN119643985B CN202411721418.1A CN202411721418A CN119643985B CN 119643985 B CN119643985 B CN 119643985B CN 202411721418 A CN202411721418 A CN 202411721418A CN 119643985 B CN119643985 B CN 119643985B
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gallium nitride
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田�文明
赵胜利
冷静
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Dalian Institute of Chemical Physics of CAS
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Abstract

本发明公开了一种测量氮化镓晶体表面内建电场强度的光谱学方法。利用飞秒瞬态反射光谱技术,研究了氮化镓晶体表面内建电场中载流子动力学过程,实现了其表面内建电场强度的测量,包括以下步骤:搭建泵浦‑探测瞬态反射光路,测试氮化镓外延表面的瞬态反射光谱,通过改变不同的激发波长测试不同初始载流子分布下的表面内建电场强度变化随时间的演化过程,通过拟合载流子扩散‑漂移耦合模型得到氮化镓表面内建电场的耗尽层厚度,计算得到内建电场的强度。本发明作为一种超快时间分辨的泵浦‑探测光谱技术,适合用于研究重掺杂氮化镓表面载流子动力学过程,为优化GaN基光电器件的性能提供理论指导。

The present invention discloses a spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal. Using femtosecond transient reflectance spectroscopy, the carrier dynamics in the built-in electric field on the surface of a gallium nitride crystal are studied, and the built-in electric field strength is measured. The method includes the following steps: establishing a pump-probe transient reflectance optical path, testing the transient reflectance spectrum of the gallium nitride epitaxial surface, measuring the temporal evolution of the built-in electric field strength under different initial carrier distributions by varying the excitation wavelength, obtaining the depletion layer thickness of the built-in electric field on the gallium nitride surface by fitting a carrier diffusion-drift coupling model, and calculating the built-in electric field strength. As an ultrafast time-resolved pump-probe spectroscopy technique, the present invention is suitable for studying the surface carrier dynamics of heavily doped gallium nitride, providing theoretical guidance for optimizing the performance of GaN-based optoelectronic devices.

Description

Spectroscopy method for measuring built-in electric field intensity on gallium nitride crystal surface
Technical Field
The invention relates to the technical field of semiconductors, in particular to a spectroscopy method for measuring the built-in electric field intensity on the surface of a gallium nitride crystal.
Background
In semiconductor materials and devices, built-in electric field (build-IN ELECTRIC FIELD) is an important factor affecting their electronic and optical properties. Built-in electric fields are typically present at pn junctions, heterojunctions, quantum wells, and material surfaces and interfaces, caused by charge distribution non-uniformity or polarization effects. Accurate measurement and understanding of the strength of built-in electric fields is critical to regulating the electrical, optical and thermal properties of semiconductor devices, especially in microelectronic and optoelectronic devices such as field effect transistors, diodes, light emitting diodes and solar cells. Gallium nitride (GaN) and its related materials (e.g., inGaN, alGaN) are important wide bandgap semiconductors that are widely used in the fabrication of high power, high frequency electronic devices and high efficiency light emitting devices (e.g., LEDs and lasers). GaN materials have strong spontaneous and piezoelectric polarization effects that result in strong built-in electric fields inside and on the surface of the material. The built-in electric field has a significant impact on carrier transport, band structure and optical performance of GaN-based devices. Therefore, developing an effective experimental method to measure and study the built-in electric field of GaN surface is of great importance for understanding and optimizing device performance.
The ultra-fast transient reflection spectrum is an emerging optical measurement technology, and the technology irradiates a sample through ultra-short pulse laser (usually in the femtosecond order) and measures the change of the reflection spectrum in real time, so that the non-contact dynamic measurement can be carried out on the built-in electric field of the semiconductor material, and a powerful means for researching the evolution of the electric field on the surface of the semiconductor is provided. Therefore, the invention aims to develop an ultrafast transient reflection spectrum method for measuring the built-in electric field intensity on the surface of the gallium nitride crystal, which is used for researching the built-in electric field intensity on the surface of the gallium nitride crystal.
Disclosure of Invention
The invention aims to solve the technical problem of providing an ultrafast transient reflection spectrum method for measuring the built-in electric field intensity on the surface of a gallium nitride crystal, which adopts a pumping-detection technology to regulate and control the initial carrier concentration distribution by changing the wavelength of pumping light, uses detection light to monitor the evolution of reflectivity in real time, and fits a carrier diffusion-drift coupling model to obtain the built-in electric field intensity.
The technical scheme adopted by the invention for realizing the purpose is that the spectroscopy method for measuring the built-in electric field intensity on the surface of the gallium nitride crystal comprises the following steps:
Exciting electrons to a conduction band by adopting single photon excitation or two photon excitation through a laser, and leaving holes in a valence band;
adjusting the incidence angle of the detection light on the gallium nitride film sample, and enabling the pumping light emitted by the optical parametric amplifier to be incident on the front surface of the gallium nitride film sample;
collecting detection light reflected by the surface of a gallium nitride film sample, and testing transient absorption spectrum;
Acquiring delta R/R data according to the spectrum information, wherein R represents the detection light reflectivity excited by the pump light, delta R represents the difference value between the detection light reflectivity excited by the pump light and the detection light reflectivity excited by the non-pump light;
And obtaining the width of the depletion layer by fitting according to the delta R/R data, and obtaining the built-in electric field intensity according to the width of the depletion layer.
The wavelength of the detection light is 340 nm-800 nm.
The incidence angle of the adjustment detection light on the gallium nitride film sample is 45 degrees.
The pump light emitted by the optical parametric amplifier is incident on the front surface of the gallium nitride film sample, and the incident angle is 0-10 degrees.
The pump light excitation wavelengths of 260nm and 400nm were varied to test the transient reflectance spectrum.
And acquiring delta R/R data, and fitting experimental data by utilizing a carrier drift-diffusion model to obtain the width of the depletion layer of the built-in electric field.
The built-in electric field strength is obtained according to the width of the depletion layer and is obtained by the following formula:
Wherein F is the built-in electric field strength, W 0 is the depletion layer width, q is the electron charge amount, N D is the doping concentration, ε is the relative permittivity, ε 0 is the vacuum permittivity.
The invention has the following beneficial effects and advantages:
1. transient reflectance spectroscopy is an optical method, so that measurements can be made without touching the sample, avoiding interference that may be introduced by electrode contact in conventional electrical methods. Such non-contact measurements are particularly suitable for surface sensitive or vulnerable semiconductor materials.
2. Conventional electrical measurements sometimes require the preparation of electrodes on the sample or the introduction of an externally applied electric field, which may have a certain physical or chemical effect on the surface of the material. Whereas transient reflectance spectroscopy is completely non-invasive and does not damage the sample, it is particularly suitable for measuring fragile or difficult to handle materials.
3. The transient reflection spectrum can be utilized to realize the spatial resolution of micron-scale or even nanometer-scale through optical focusing, so that the built-in electric field of the local area of the semiconductor surface is measured. In contrast, conventional electrical methods often have difficulty achieving such high spatial resolution.
Drawings
Fig. 1 is a constructed light path diagram of an ultrafast transient reflectance spectrum.
FIG. 2 is a graph of a transient reflectance time-sharing spectrum of GaN epitaxy in an example.
Fig. 3 is a graph of carrier dynamics of gallium nitride epitaxy in an example under excitation at different excitation wavelengths.
Fig. 4 is a flow chart of the method of the present invention.
Detailed Description
The present invention will be described in further detail with reference to examples and drawings, but embodiments of the present invention are not limited thereto.
The invention discloses a spectroscopy method for measuring the built-in electric field intensity on the surface of gallium nitride crystal. The method comprises the steps of constructing a pumping-detecting transient reflection light path, testing transient reflection spectrum of the gallium nitride epitaxial surface, testing the evolution process of the change of the intensity of the built-in electric field on the surface under different initial carrier distribution along with time by changing different excitation wavelengths, obtaining the thickness of a depletion layer of the built-in electric field on the gallium nitride surface by fitting a carrier diffusion-drift coupling model, and calculating the intensity of the built-in electric field. The invention is used as an ultrafast time-resolved pump-detection spectrum technology, is suitable for researching the dynamic process of the carrier on the surface of the heavily doped gallium nitride, and provides theoretical guidance for optimizing the performance of a GaN-based photoelectric device.
As shown in fig. 4, the present invention includes the steps of:
(1) The system mainly comprises three components, namely a femtosecond titanium precious stone laser system (800 nm,35fs,1 kHz), an Optical Parametric Amplifier (OPA) and a transient spectrometer. The TOPAS OPA is mainly used for generating pump light (240 nm-2600 nm) with adjustable wavelength, and the transient spectrometer comprises a time Delay control device (Variable Delay), a calcium fluoride crystal window, a chopper, a detector and the like. The system can realize time resolution of 35fs, the maximum delay time is 8ns, and the wavelength of detection light (white light) can cover 340 nm-800 nm. The incidence angle of the detection light on the film sample is regulated to be about 45 degrees, the detection light reflected by the surface of the sample enters the optical fiber spectrometer, and the pumping light is incident on the front surface of the film sample, and the incidence angle is 0-10 degrees.
(2) And (3) testing the gallium nitride epitaxial transient reflection spectrum, wherein a sample is a gallium nitride epitaxial wafer with a Si doped (0001) crystal face, and the thickness is 4.5 microns. And respectively adopting single photon excitation and two photon excitation to excite electrons into a conduction band, wherein the wavelength of pumping light is 260nm and 400nm, the wavelength range of detection light is 340nm-800nm, and collecting detection light through an ultraviolet detector to test transient absorption spectrum.
(4) And calculating the built-in electric field intensity of gallium nitride, namely, drifting, diffusing and compounding carriers on the surface of the semiconductor. Drift and diffusion will result in an enhancement of the modulated electric field (the observed signal rising from 0 to-1 in fig. 3), while carrier recombination will result in a reduction of the photogenerated electric field (the observed signal decaying from-1 to 0). It is assumed here that carriers located in the depletion region are mainly drifting, while carriers located outside the depletion region (neutral region) are mainly diffusing. Carriers residing in the neutral region may diffuse into the depletion region or may diffuse toward the bulk phase driven by a concentration gradient.
(5) And acquiring delta R/R data, and fitting the delta R/R data acquired by experiments with the data of delta R/R along with delay time by using a carrier drift-diffusion coupling model to obtain the width of the depletion layer. Wherein R represents the detection light reflectance of the sample surface not excited by the pump light, and Δr represents the difference between the detection light reflectance excited by the pump light and the detection light reflectance not excited by the pump light.
The change over time of the concentration profile of carriers in the neutral region of the GaN thin film can be expressed as:
Here, N represents carrier concentration, D is minority carrier (hole) diffusion coefficient, and τ is bulk recombination lifetime. t is the delay time after the sample is excited and x is the depth from the sample surface.
For n-doped GaN, there is an upward band bending of the surface, photo-generated holes diffuse into the depletion layer, then the holes are swept to the surface under the action of the built-in electric field, and photo-generated electrons are swept to the surface of the neutral region under the action of the built-in electric field, then diffuse into the bulk phase. The final transient electric field strength depends on the number of photo-generated holes from the bulk phase to the depletion layer. One common approach is to assume that a virtual boundary surface separates the depletion region from the neutral region, and that the carrier flux at that boundary is characterized by the charge carrier rate, resulting in the boundary condition that the carrier flux needs to meet as follows:
Here, W 0 is the depletion layer width, S V is the hole thermal velocity of the depletion layer virtual boundary, and J represents the carrier flux. The final transient reflection signal is proportional to the carrier concentration, i.e
The absorption coefficient is different for different excitation wavelengths, so the initial carrier concentration distribution is also different, and the initial carrier concentration distribution is expressed as
N(x, 0) =N0·exp(-αx) (5)
Where α is the absorption coefficient, and N 0 is the carrier concentration at time t=0. Fitting TR dynamics can result in depletion layer width and minority carrier (hole) diffusion coefficient D using the carrier drift-diffusion coupling model consisting of equations (1) - (5).
(6) The built-in electric field intensity is calculated as follows:
Where q is the electron charge, N D is the doping concentration, ε is the relative permittivity, ε 0 is the vacuum permittivity.
Examples:
The present embodiment describes a method for measuring the intensity of a built-in electric field on the surface of gallium nitride epitaxy, using Si-doped gallium nitride epitaxy of (0001) crystal plane grown on a sapphire substrate as an exemplary object, comprising the steps of:
1. an ultrafast time-resolved transient reflection spectrum optical path based on a pump-detection technology is built, and specific details are shown in fig. 1.
The angle of incidence of the probe light on the GaN film sample is adjusted to be about 45 degrees, and the angle of the reflecting mirror is adjusted to enable the pump light to vertically enter the surface of the GaN film sample, wherein the incidence angle is 0 degree.
2. The band gap of gallium nitride is 3.4eV, 260nm is selected as excitation light (photon energy is about 4.8 eV), valence band electrons are excited to a conduction band by a single photon excitation technology, holes are reserved in the valence band, and super-continuous white light is used as detection light to detect the change of an excited state carrier in real time. As shown in fig. 2, a spectrum oscillation phenomenon can be seen above the band gap, which is FKO oscillations caused by the built-in electric field, when the spectrum is time-division spectrum of the GaN transient reflection spectrum.
3. The kinetics at 366nm were extracted using 260nm and 400nm as pump light, respectively, as shown in FIG. 3. And (3) writing a fitting program by using formulas (1), (2), (3), (4) and (5), and fitting the experimental data, so that the experimental data can be found to completely coincide with a fitting curve. Wherein the fixed first-order attenuation rate is 1E+9s -1, the GaN epitaxial thickness is 2 μm, the Sv is 1E+7cm/s, the surface recombination rate is 1000cm/s, and the final fitting result is that the diffusion coefficient D is 0.466cm 2/s and the depletion layer thickness W 0 is 31.0nm.
4. Calculating the built-in electric field intensity of the GaN surface according to the formula (6), wherein q is 1.6X10 -19C,W0 to 31.0nm, N D is 1×10 18cm-3, epsilon is 9.5, epsilon 0 is 8.85×10 -12 F/m, and the built-in electric field intensity is 3.1X10 4 V/cm.

Claims (7)

1.一种测量氮化镓晶体表面内建电场强度的光谱学方法,其特征在于,包括以下步骤:1. A spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal, comprising the following steps: 通过激光器采用单光子激发或双光子激发将电子激发到导带,价带留下空穴;白光作为探测光,以实时检测激发态载流子的变化;The laser uses single-photon excitation or two-photon excitation to excite electrons to the conduction band, leaving holes in the valence band; white light is used as the probe light to detect the changes in excited state carriers in real time; 调节探测光在氮化镓薄膜样品上的入射角度,光参量放大器发出的泵浦光在氮化镓薄膜样品的正面入射;The incident angle of the probe light on the GaN thin film sample is adjusted, and the pump light emitted by the optical parametric amplifier is incident on the front side of the GaN thin film sample; 收集氮化镓薄膜样品表面反射的探测光,测试瞬态吸收光谱;Collect the probe light reflected from the surface of the GaN film sample and test the transient absorption spectrum; 根据光谱信息,获取ΔR/R数据;其中,R表示有泵浦光激发的探测光反射率,ΔR表示有泵浦光激发的探测光反射率与无泵浦光激发的探测光反射率的差值;Obtain ΔR/R data based on the spectral information; where R represents the reflectivity of the probe light with pump light excitation, and ΔR represents the difference between the reflectivity of the probe light with pump light excitation and the reflectivity of the probe light without pump light excitation; 根据ΔR/R数据,通过拟合得到耗尽层宽度;根据耗尽层宽度得到内建电场强度。According to the ΔR/R data, the depletion layer width is obtained by fitting; and the built-in electric field strength is obtained according to the depletion layer width. 2.根据权利要求1所述的一种测量氮化镓晶体表面内建电场强度的光谱学方法,其特征在于,所述探测光波长覆盖340nm~800nm。2. The spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal according to claim 1, wherein the wavelength of the detection light covers a range of 340 nm to 800 nm. 3.根据权利要求1所述的一种测量氮化镓晶体表面内建电场强度的光谱学方法,其特征在于,所述调节探测光在氮化镓薄膜样品上的入射角度为45°。3. The spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal according to claim 1, wherein the incident angle of the probe light on the gallium nitride thin film sample is adjusted to 45°. 4.根据权利要求1所述的一种测量氮化镓晶体表面内建电场强度的光谱学方法,其特征在于,所述光参量放大器发出的泵浦光在氮化镓薄膜样品的正面入射,入射角0-10°。4. The spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal according to claim 1, wherein the pump light emitted by the optical parametric amplifier is incident on the front surface of the gallium nitride thin film sample at an incident angle of 0-10°. 5.根据权利要求1所述的一种测量氮化镓晶体表面内建电场强度的光谱学方法,其特征在于,改变泵浦光激发波长260nm和400nm,以测试瞬态反射光谱。5. The spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal according to claim 1, wherein the pump light excitation wavelength is changed to 260 nm and 400 nm to test the transient reflection spectrum. 6.根据权利要求1所述的一种测量氮化镓晶体表面内建电场强度的光谱学方法,所述获取ΔR/R数据,利用载流子漂移-扩散模型,拟合实验数据得到内建电场的耗尽层宽度。6. The spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal according to claim 1, wherein the ΔR/R data is obtained and the depletion layer width of the built-in electric field is obtained by fitting the experimental data using a carrier drift-diffusion model. 7.根据权利要求1所述的一种测量氮化镓晶体表面内建电场强度的光谱学方法,所述根据耗尽层宽度得到内建电场强度,通过下式得到:7. The spectroscopic method for measuring the built-in electric field strength on the surface of a gallium nitride crystal according to claim 1, wherein the built-in electric field strength is obtained based on the depletion layer width, and is obtained by the following formula: 其中,F为内建电场强度,W0是耗尽层宽度,q为电子电荷量,ND为掺杂浓度,ε为相对介电常数,ε0为真空介电常数。Where F is the built-in electric field strength, W0 is the depletion layer width, q is the electron charge, N D is the doping concentration, ε is the relative dielectric constant, and ε0 is the vacuum dielectric constant.
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