量子棒中强耦合磁极化子的振动频率

J4 ›› 2010, Vol. 27 ›› Issue (3): 361-366.

量子棒中强耦合磁极化子的振动频率

巴燕燕,肖景林

内蒙古民族大学物理与电子信息学院，内蒙古通辽 028043

收稿日期:2009-05-06 修回日期:2009-05-06 出版日期:2010-05-28 发布日期:2010-05-11
通讯作者: 巴燕燕，女，副教授，主要从事凝聚态理论研究。 E-mail:bayanyan888@ 163.com
基金资助:
国家自然科学基金资助项目（10347004；10747002）;内蒙古自然科学基金资助项目（20080404MS0109）

Vibrational frequency of strong-coupling magnetopolaron

BA Yan-yan, XIAO Jing-lin

College of Physics and Electronic Information, Inner Mongolia National University, Tongliao 028043, China

Received:2009-05-06 Revised:2009-05-06 Published:2010-05-28 Online:2010-05-11

摘要/Abstract

摘要：

给出了具有椭球边界量子棒经过坐标变换成球形边界的哈密顿量。采用线性组合算符和幺正变换的方法研究了在非均匀抛物限制势下量子棒中强耦合磁极化子的性质。导出了量子棒中强耦合磁极化子的振动频率和声子平均数随磁场的回旋频率、电子-声子耦合强度、椭球的纵横比和横向和纵向有效受限长度的变化关系。数值计算结果表明：振动频率和声子平均数随电子-声子耦合强度和磁场的回旋频率的增加而增加，随横向和纵向有效受限长度的减小而迅速增大。当时，振动频率和声子平均数随椭球的纵横比的增加而增加。时，随着椭球的纵横比的减少，振动频率和声子平均数都增大。当时，振动频率和声子平均数取极小值。

关键词: 光电子学∣量子棒∣线性组合算符∣磁极化子∣纵横比

Abstract:

The Hamiltonian of a quantum rods with an ellipsoidal boundary is given after a coordinate transformation which can transform the boundary into a spherical one. The properties of strong-coupling magnetopolaron in a quantum rods in a three-dimensional anisotropic harmonic potential are studied by using the linear combination operator and the unitary transformation methods. The relations of the vibrational frequency and the mean number of phonons of strong-coupling magnetopolaron in a quantum rods with the cyclotron frequency of a magnetic field ，the electron-phonon coupling strength, the aspect ratio of the ellipsoid and the transverse and the longitudinal effective confinement length were derived. Numerical calculations are performed and the results show that the vibrational frequency and the mean number of phonons will increase with increasing the electron-phonon coupling strength and the cyclotron frequency of a magnetic field and increase rapidly with decreasing transverse and the longitudinal effective confinement length. The vibrational frequency and the mean number of phonons are increasing functions of theaspect ratio of the ellipsoid when , whereas they are decreasing functions of one when .When , the vibrational frequency and the mean number of phonons are a minimum value.

Key words: optoelectronics∣quantum rods∣magnetopolaron∣linear combination operator∣aspect ratio

巴燕燕,肖景林. 量子棒中强耦合磁极化子的振动频率[J]. J4, 2010, 27(3): 361-366.

BA Yan-yan, XIAO Jing-lin. Vibrational frequency of strong-coupling magnetopolaron[J]. J4, 2010, 27(3): 361-366.

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