摘要
研究晶体磁极化子光学声子平均数的性质,采用Tokuda改进的线性组合算符、Lagrange乘子和变分法讨论了晶体中强、弱耦合磁极化子的振动频率、基态能量和光学声子平均数与磁场B和拉格朗日乘子u的关系。以RbCl和GaAs晶体为例进行了数值计算,结果表明:磁极化子的振动频率随磁场B和拉格朗日乘子u的增加而增大;基态能量随拉格朗日乘子u的增加而增大,随磁场B的增加而减小;光学声子平均数随拉格朗日乘子u的增加而增大。
The properties of magnetopolaron in crystals and semiconductors influence on the properties of the crystals and semiconductors very remarkably. With the development of the material science and experimental technology, the properties of magnetopolaron in crystals and semiconductors have been of considerable interest. Many investigators studied the properties of the magnetopolaron by means of various theoretical methods and experimental methods. Wu et al. studied the properties of the 2D magnetopolaron using the Feynmann path-integral approach. Wei et al. calculated the induced potential, resonance frequency and the self-energy of an interface magnetopolaron using the Green-function method. Lassnig et al. discussed the theory of resonant magnetopolaron of 2D electron system in narrow gap semiconductors using the variational method. Madkour et al. studied the effect of magnetic field on magnetopolaron states in a polar crystal interface and emphasized the result that the presence of magnetic field leads to a local potential for charge carriers at the interface. Based on Wigner-Brillouin theory, Brancus and Stan investigated the state energy of an anisotropic three-dimensional polaron in a magnetic field. Wollf et al. investigated the bound magnetic polarons in semimagnetic semiconductors and the bound magnetic polarons in dilute magnetic semiconductors by the optical experiments. Employing Haga's perturbation method, Hu et al. derived an effective Hamiltonian for the interface magnetopolaron in polar crystals. The properties of surface magnetopolaron in a magnetic field have been further discussed by Xiao and co-workers.
Tokuda studied the mean number of phonon of the optical and the piezoelectric polarons by using improved Huybrechts method. However, the mean number of phonon of magnetopolarons in crystals has not been studied so far. In this paper, the properties of magnetopolaron which is a strong-and weak-coupling of optical phonon was discussed by using Tokuda's improved linear combination operator and the Lagrange multiplier and the variational method. Numerical calculations for RbCI and GaAs crystal, as an example, are performed. The relational of the vibration frequency, the ground state energy and the mean number of optical phonon to magnetic field B and Lagrange multiplier u are discussed. The result illustrates that the vibration frequency of magnetopolaron will increase with increasing magnetic field B and Lagrange multiplier u, the ground state energy E will increase with increasing u and decreasing B, the mean number of optical phonon N will increase with increasing u .
出处
《发光学报》
EI
CAS
CSCD
北大核心
2003年第6期567-571,共5页
Chinese Journal of Luminescence
基金
国家自然科学基金资助项目(10347004)
