Polaron Effects on D- Center in a Parabolic Quantum Well

YUAN Li-hua; AN Zhang-hui; MA Jun; CHEN Yu-hong

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Polaron Effects on D^- Center in a Parabolic Quantum Well

更新时间：2020-08-11

- Polaron Effects on D^- Center in a Parabolic Quantum Well
- Chinese Journal of Luminescence Vol. 28, Issue 3, Pages: 317-320(2007)
- 作者机构：
  
  1. 兰州理工大学, 理学院,甘肃兰州,730050
  2. 中国地震局, 兰州地震研究所, 甘肃, 兰州, 730000
- 作者简介：
- 基金信息：
- DOI：
  CLC： O472.3;O469
- Published：20 May 2007，
  
  Received：23 August 2006，
  
  Revised：28 September 2006，
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元丽华, 安张辉, 马军, 陈玉红. 抛物阱中极化子效应对D-心的影响[J]. 发光学报, 2007,28(3): 317-320

YUAN Li-hua, AN Zhang-hui, MA Jun, CHEN Yu-hong. Polaron Effects on D- Center in a Parabolic Quantum Well[J]. Chinese Journal of Luminescence, 2007,28(3): 317-320
元丽华, 安张辉, 马军, 陈玉红. 抛物阱中极化子效应对D-心的影响[J]. 发光学报, 2007,28(3): 317-320 DOI：

YUAN Li-hua, AN Zhang-hui, MA Jun, CHEN Yu-hong. Polaron Effects on D- Center in a Parabolic Quantum Well[J]. Chinese Journal of Luminescence, 2007,28(3): 317-320 DOI：

摘要

采用改进的LLP方法在考虑体声子影响的情况下研究了抛物量子阱中电子-LO声子相互作用对D

心能量的影响.研究结果表明

阱宽较小时

心的基态能量和结合能随着阱宽

的增大而急剧减小;阱宽较大时

能量的减小比较缓慢

最后接近体材料中的三维值.并且得出了电子-LO声子相互作用可使D

心的结合能有显著的提高.

Abstract

A negative-donor center (D

) in a semiconductor heterostructure or quantum well is formed by a neutral center (D

) trapping an extra electron. This system has attracted considerable attention since the early days of quantum mechanics. D

centers are one of the simplest many-body electronic systems which can be used as a test for theoretical descriptions of e-e correlation. In previous experimental and theoretical studies

the dependence of the binding energy of D

on the magnetic-field strength and on the dimension of the quantum well have been investigated. Although there have been great efforts toward understanding the behavior of the D

centers in Q2D systems

very little information is available concerning polaron effects on the properties of the D

center in a parabolic quantum well(PQW). The polarization potential and the binding energy of the D

center in a parabolic quantum well are inves-tigated. The study has taken the effect of bulk longitudinal optical (LO) phonons into account. In order to simplify the calculation

we use the simple trial function for both electrons. By using the method of modified Lee-Low-Pines(LLP) variational method

the polarization potential and the ground state energy of D

center in the GaAs/Al

1-x

As PQW are obtained. The contribution of the impurity and LO phonon interaction to the total electron energy can be eliminated by the first canonical transformation

and the effect of this displacement on the lattice polarization leads to the polarization potential which partially compensates the electron-impurity Coulomb interaction. By the second canonical transformation

the ground state energy of the D

center in the infinite parabolic quantum well is worked out

and then the binding energy of D

center can be gained by further calculations. The research results indicate that

the ground state energy and binding energy of the D

center decreases rapidly with increasing

at the beginning

then decreases very slowly with increasing

and finally closes to the three-dimensional value in GaAs. Polaron effects on the properties of the D

center in a PQW were found to be important. Because the binding energy of the D

center is much smaller than that of a shallow donor

the relative contribution of the polaron correction is larger.

关键词

抛物量子阱极化子D-心

Keywords

parabolic quantum wellpolaronD- center

references

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Yuan Lihua,Wang Xu,An Zhanghui,et al.Polarization potential and the binding energy of a bound polaron in parabolic quantum well[J].Chin.J.Lumin.(发光学报),2005,26(6):709-713 (in Chinese).

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