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 cyclotronresonance 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 cyclotronresonance frequency confirmed by experiment. It should be noted that the split of cyclotronresonance spectrum is strongly affected by the coupling of electronphonon. Many scholars have paid much attention to the cyclotronresonance of polaron. Many investigations on the properties of the magnetopolaron were performed by means of Feynman's route integration, Larsen's original operator, Greenfunction, linear combination operator, variation, bound Landaustate 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 weakcoupling magnetopolaron in the polyatomic semiinfinite 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
出处
《发光学报》
EI
CAS
CSCD
北大核心
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
