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库仑场对非对称量子点中强耦合极化子声子平均数的影响
引用本文:许杰,肖景林.库仑场对非对称量子点中强耦合极化子声子平均数的影响[J].发光学报,2008,29(3).
作者姓名:许杰  肖景林
作者单位:1. 辽东学院,信息技术学院,辽宁,丹东,118003
2. 内蒙古民族大学,物理与电子信息学院,内蒙古,通辽,028043
摘    要:采用线性组合算符和幺正变换方法研究库仑场对非对称量子点中强耦合极化子振动频率和声子平均数的影响。导出量子点中强耦合束缚极化子振动频率和声子平均数随量子点的横向和纵向有效受限长度,库仑束缚势和电子-声子耦合强度的变化关系。数值计算结果表明:非对称量子点中强耦合束缚极化子的振动频率和声子平均数随量子点的横向和纵向有效受限长度的减小而迅速增大。随库仑束缚势和电子-声子耦合强度的增加而增大。

关 键 词:非对称量子点  束缚极化子  声子平均数  线性组合算符

Influence of the Coulomb Field on the Mean Number of Phonons for Strong-coupling Polaron in an Asymmetric Quantum Dot
XU Jie,XIAO Jing-lin.Influence of the Coulomb Field on the Mean Number of Phonons for Strong-coupling Polaron in an Asymmetric Quantum Dot[J].Chinese Journal of Luminescence,2008,29(3).
Authors:XU Jie  XIAO Jing-lin
Abstract:In the early 1980's, Tokuda studied the mean number of phonons for both the optical and the piezoelectric polarons within the scheme of variational approach based on the unitary transformation and the method of the Lagrange multiplier.Many investigators studied the properties of the mean number of phonons of pola-rons by using many methods. The properties of the mean number of phonons of the polaron in polar crystal, quantum well, quantum wire and symmetric quantum dot have been studied using the linear combination ope-rator method by one of the present authors and co-worker. Recently, the mean number of phonon of the pola-ron in an asymmetric quantum dot has been calculated using linear combination operator method by the present author. However, using linear combination operator method, the properties of the mean number of phonons for the bound polaron in an asymmetric quantum dot has not been investigated so far. The purpose of this present paper is to explore the effect of the transverse and the longitudinal effective confinement length of quantum dot, the Coulomb bound potential and the electron-phonon coupling strength on the properties of strong-coupling bound polaron in an asymmetric quantum dot. We obtain the expressions for the vibration frequency and the mean number of phonons of the strong-coupling bound polaron in an asymmetric quantum dot as a function of the transverse and the longitudinal effective confinement length of quantum dot, the Coulomb bound potential and the electron-phonon coupling strength by using linear combination operator and the unitary transformation methods. Numerical calculations are performed and the results show that the vibration frequency and the mean number of phonons of the strong-coupling bound polaron in an asymmetries quantum dot will strongly increase with decreasing the transverse and longitudinal effective confinement length of quantum dot, and will increase with increasing the coulomb bound potential and the electron-phonon coupling strength.
Keywords:asymmetric quantum dot  bound polaron  mean number of phonon  linear combination operator
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