弱耦合多原子晶体中磁极化子的有效质量  

Effective Mass of Weak-coupling Magnetopolaron in Polyatomic Crystals

作　　者：胡文弢[1] 李景杰[1] 冯有良[1] 肖景林[2] 

机构地区：[1]集宁师范高等专科学校物理系,内蒙古集宁012000 [2]内蒙古民族大学物理系,内蒙古通辽028043

出　　处：《发光学报》2003年第4期358-362,共5页Chinese Journal of Luminescence

基　　金：内蒙古自然科学基金(99009);内蒙古高校科研项目(NJ02017)资助项目

摘　　要：采用Lagrange乘子法,利用Huybrechts线性组合算符和幺正变换,研究弱耦合多原子半无限极性晶体中磁极化子的振动频率和有效质量。结果表明:在电子无限接近晶体表面时,磁极化子的振动频率和有效质量均与表面磁极化子的相同;在电子处于晶体深处时,磁极化子的振动频率未变,但其有效质量除了与声子和电子间耦合常数有关外,还与其所处深度有关。The cyclotronresonance is a standard technology that determines the conductive electron and hole mass in solids. Usually the effective mass of electron is decided according to the cyclotronresonance frequency confirmed by experiment. It should be noted that the split of cyclotronresonance spectrum is strongly affected by the coupling of electronphonon. Many scholars have paid much attention to the cyclotronresonance of polaron. Many investigations on the properties of the magnetopolaron were performed by means of Feynman's route integration, Larsen's original operator, Greenfunction, linear combination operator, variation, bound Landaustate and perturbation method. At investigating the properties of the crystals, many methods was only confined to the one LO phonon branch, however, in the polyatomic crystals containing three and more atoms, with several atoms per unit cell, there are more than one LO phonon. The polar problem of the crystals containing many LO slab has been investigated. In recent years, the polaron problem with many LO phonon branches has been investigated also. However, the magnetopolaron in polyatomic polar crystals has rarely been investigated. Recently Hu et al. discussed the properties of the surface magnetopolaron and bulk magnetopolaron in polyatomic polar crystals by means of a linear combination operator.But the properties of polaron of polyatomic crystals in magnetic field has not investigated so far. In this paper, the vibrational frequency and effective mass of the weakcoupling magnetopolaron in the polyatomic semiinfinite polar crystals were studied through a linear combination operator and unitary transformation and by using Lagrange's multiplier. When the electron is approaching infinitely to the surface of crystals, the vibrational frequency and effective mass of the magnetopolaron is identical with the surface magnetopolaron. When the electron is situated in the depth of crystals, the vibrational frequency of the magnetopolaron is not c

关 键 词：弱耦合多原子晶体 磁极化子 有效质量 LAGRANGE乘子法 振动频率 回旋共振谱线 

分 类 号：O734[理学—晶体学] O737