声子之间相互作用对磁场中晶体性质影响的研究进展

综述了近年来对电子在反冲效应中发射和吸收不同波矢的声子之间相互作用对磁场中晶体性质的影响方面的部分工作,在第一节中从磁场中电子一表面光学声子和电子一体纵光学声子系的哈密顿量出发,用线性组合算符和微扰法研究声子之间相互作用对弱耦合磁极化子的基态能量、自陷能和有效质量的影响,在第二节中研究了声子之间相互作用对与表面光学声子和体纵光学声子弱耦合的表面磁极化子的诱生势和有效质量的影响在第三节中研究了相应的声子之间相互作用对与表面光学声子耦合强,与体纵光学声子耦合弱的表面磁极化子的振动频率、诱生势和有效质量的影响,在第四节中研究了声子之间相互作用对与表面光学声子耦合强,与表面声学声子耦合弱的极性半导体中通过形变势的表面磁极化子的诱生势和有效质量的影响.

Research Progress of the Influences of Interaction between Phonons on the Properties of the Crystal in Magnetic Field

This article is a review on our studies in recent years of for the influences of interaction between phonons of different wave vectors in the recoil process on the properties of the crystal in magnetic field. In section 1, based on a Hamiltonian of the electron-surface optical phonon and the electron - bulk longitudinal optical phonon system in magnetic field, the influence of interac-tion between phonons on the ground state energy,self - trapping energy and effective mass of the weak - coupling magnetopolaron was studied by using a linear combination operator and perturba-tion method. In section 2, the influence of interaction between phonons on the induced potential and effective mass of the surface magnetopolaron, which is a weak- coupling with the surface op-tical and bulk longitudinal optical phonons,was investigated. In section 3,the influence of the cor-responding interaction between phonons on the vibrational frequency, the induced potential and ef-fective mass of the surface magnetopolaron, which is a strong - coupling with surface optical phonon and a weak - coupling with bulk longitudinal optical phonon, was discussed. In section 4, the influence of the interaction between phonons of different wave vectors in the recoil process on the induced potential and effective mass of the surface magnetopolaron via deformation potential in polar semiconductor, which is a weak - coupling with surface acoustic phonon and a strong - cou-pling with the surface optical phonon, was studied by using improved linear combination operator and perturbation method.