AxB1-xCyD1-y型四元混晶光学声子性质的研究

摘要/Abstract

摘要： 针对现有理论的不足，提出了新的AxB1-xCyD1-y型四元混晶中晶格振动理论模型，利用Clausius-Mossotti公式对运动方程组加以简化，同时引入波恩-黄昆方程消除微观变量，最终得到混晶声子频率对组分（x、y）的依赖关系。该理论模型优点在于只需知道AC、AD、BC和BD四种二元混晶的若干参数（光学声子横模频率、纵模频率和晶体的静态介电常数和光学介电常数），就可求出AxB1-xCyD1-y型四元半导体混晶的光学声子特性，当组分取边界值时，结果则对应三元和二元晶体。理论结果与实验数据符合较好，对今后实验有一定指导作用。

关键词: 光电子学, 光学声子, 混晶, 组分, 波恩-黄昆方程

Abstract: In order to overcome the shortcoming involved with the current theory, the new theory model of lattice vibration in AxB1-xCyD1-y quarternary mixed crystals is described. Using the Clausius-Mossotti formula for simplifying the motion equations, and Born-Huang equations for eliminating microscopic variables, the relationship between optical phonon and elemental concentrations(x、y) of mixed crystals has been obtained. The advantage of the theory model is the optical phonon character of AxB1-xCyD1-y quarternary mixed crystals can be solved only by several parameters of the binary mixed crystals such as AC、AD、BC and BD. The parameters include TO mode frequency, LO mode frequency, static dielectric constant and optical dielectric constant. Taking the boundary values, the results are corresponding to ternary mixed crystals and binary mixed crystals. The theoretical results and the experimental datas meet well with each other, which give certain guidance to future experiments.

Key words: optoelectronics, quantum optics, optical phonon, mixed crystals, concentration, Born-Huang equations

中图分类号:

罗飞，刘维清，刘燕勇. AxB1-xCyD1-y型四元混晶光学声子性质的研究[J]. J4, 2014, 31(2): 233-238.

LUO Fei LIU Wei-qing LIU Yan-yong. Investigations of Optical Phonon Properties in AxB1-xCyD1-y Mixed Crystals[J]. J4, 2014, 31(2): 233-238.

参考文献

[1] Zheng R S，Taguchi T, Matsuura M, Theory of long-wavelength optical lattice vibrations in multinary mixed crystals: Application to group-III nitride alloys
[J]. Phys. Rev. B, 2002, 66, 0753271- 0753277.
[2] Fiederling R, etal.Injection and detection of a spin-polarized current in a light-emitting diode
[J]. Nature (London) 1999,402 : 787
[3] Zheng R S. Properties of optical phonons in multinary phosphide mixed crystals
[J].（郑瑞生，磷化物多元混晶中光学声子的性质）Journal of Shenzhen University Science and Engineering (深圳大学学报理工版)，2006，23（1）：10-15
[4] Yang F, Zheng R S, Properties of optical phonons in Zn1-x-yMgyBexSe quaternary mixed crystal
[J]. Solid State Communications, 2007, 141,555–558.
[5]Luo F, Zheng R S，Yang F. Investigations of optical phonons in MnxZnyBe1-x-ySe mixed crystals
[J]. （罗飞郑瑞生杨帆，MnxZnyBe1-x-ySe半导体混晶中光学声子的研究） Acta Sinica Quantum Optica(量子光学学报), 2008,14(3):333-337
[6]Jaw D H, Cherng Y T, and Stringfellow G B. Long-wavelength lattice dynamics of GaxIn1-xAsySb1-y quaternary alloy
[J]. Appl. Phys, 1989, 66: 1965-1969.
[7] Jaw D H, Stringfellow G B. Long wavelength lattice dynamics for quaternary alloys: GaInPSb and AlGaAsSb,
[J]. Appl. Phys, 1992, 72:4265-4268.
[8] Chen Y S, Shokley W, Pearson G L. Lattice vibration spectra of GaAsx P1 - x single crystals
[ J ]. Physical Review,1966, 151 (2) : 648-656.
[9] Chang I F, Mitra S S. Application of a modified random-element-isodisplacement model to long wavelength optic phonons of mixed crystals
[J]. Physical Review, 1968, 172(3) : 924-933.
[10]Genzel L, Martin T P, Perry C H. Model for long-wavelength optical phonon modes of mixed crystals
[ J ]. Physical Solid Status B, 1974, 62: 83-92.
[11]Yin Z W. Dielectric Physics, the second edition(电介质物理学，第二版)
[M]. Beijing: Science Press, 2003.
[12]Born M, Huang K. Dynamical Theory of Crystal Lattices(晶格动力学理论)
[M]. Beijing:Peking University Press,1989(in chinese).
[13]Luo F，Zheng R S，Lu M，Liu W Q. Improved theory of calculating mixed crystals phonon frequencies based on MREI model
[J].（罗飞郑瑞生卢敏刘维清，基于MREI模型混晶光学声子频率计算理论的改进）Chinese Journal of Quantum Electronics (量子电子学报)，2010，27（5）：620-625.
[14] Madelung O. Semiconductors—Basic Data,
[M].Springer, New York, 1996.
[15] Izadifard M, Bergman J P, Chen W M,and Buyanova I A , Hong Y G and Tu C W, Radiative recombination of GaInNP alloys lattice matched to GaAs
[J], Appl. Phys. Lett, 2006, 88: 011919-011920.
[16] Lin K I, Lee J Y, Wang T S, Hsu S H, Hwang J S, Hong Y G and Tu C W, Effects of weak ordering of InGaPN
[J], Appl. Phys. Lett, 2005, 86:211914-211916.