磁场和量子点尺寸对激子性质的影响

沈曼; 张亮; 刘建军

doi:10.7498/aps.61.217103

摘要

在In0.6Ga0.4As/GaAs量子点中, 采用一维等效势模型和有限差分法理论计算了激子态的性质, 得到了激子跃迁能和束缚能随磁场、横向束缚强度以及量子点尺寸的变化关系. 结果表明: 加入磁场后, Zeeman效应使得激子的能级简并度解除, 激子的基态跃迁能与实验符合得很好; 横向束缚强度或磁场强度的增加使得激子的束缚增强; 量子点的尺寸对激子的束缚产生重要的影响; 通过电子-空穴间平均距离以及激子体系波函数分布图像分析了其产生的物理机制.

关键词:

激子 /
量子点 /
磁场

Abstract

In In0.6Ga0.4As/GaAs quantum dot, using a one-dimensional effective potential model and the finite difference method, we theoretically study the properties of an exciton under the influence of an applied magnetic field, such as the transition energy, the binding energy, the spatial distributions of the electron and the hole. The effects due to the applied magnetic filed and the quantum confinement on the binding energy are analyzed, and the following results are obtained: the ground state transition energy of the heavy-hole exciton can split into four energy levels due to the Zeeman effect, of which the results are in good agreement with experimental results; the binding energy increases monotonically with the increase of lateral confinement or magnetic field; the size of the quantum dot has a significant influence on the binding energy of the exciton, which can be seen both from the average distance between the electron and the hole and from the wave function distributions of the exciton.

Keywords:

exciton /
quantum dot /
magnetic field

作者及机构信息

1.
河北师范大学物理科学与信息工程学院, 河北省新型薄膜材料实验室, 石家庄 050024;

2.
河北师范大学应用信息技术系, 石家庄 050024;

3.
石家庄学院物理系, 石家庄 050035

基金项目: 国家自然科学基金(批准号: 61176089)和河北省自然科学基金(批准号: A2011205092)资助的课题.

Authors and contacts

1.
College of Physical Science and Information Engineering, Hebei Normal University, Shijiazhuang 050024, China;

2.
Department of Application Information Technology, Hebei Normal University, Shijiazhuang 050024, China;

3.
Physics Department, Shijiazhuang University, Shijiazhuang 050035, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61176089), and the Natural Science Foundation of Hebei Province, China (Grant No. A2011205092).

参考文献

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施引文献

[1]	Belhadj T, Simon C M, Amand T, Renucci P, Chatel B, Krebs O, Lemaitre A, Voisin P, Marie, X, Urbaszek B 2009 Phys. Rev. Lett. 103 086601
[2]	Xiao Z G 1999 J. Appl. Phys. 86 4509
[3]	Gu J, Liang J Q 2004 Phys. Lett. A 323 132
[4]	Bennett A J, Pooley M A, Stevenson R M, Ward M B, Patel R B, Giroday A B, Sköld N, Farrer I, Nicoll C A, Ritchie D A , Shields A J 2010 Nature Phys. 6 947
[5]	Ortner G, Bayer M, Larionov A, Timofeev V B, Forchel A, Lyanda Y B, Reinecke T L, Hawrylak P, Fafard S, Wasilewski Z 2003 Phys. Rev. Lett. 90 086404
[6]	Bayer M, Hawrylak P, Hinzer K, Fafard S, Korkusinski M, Wasilewski Z R, Stern O, Forchel A 2001 Science 291 451
[7]	DiVincenzo D P, Bacon D, Kempe J, Burkard G, Whaley K B 2000 Nature 408 339
[8]	Rinaldi R, Mangino R, Cingolani R, Lipsanen H, Sopanen M, Tulkki J, Brasken M, Ahopelto J 1998 Phys. Rev. B 57 9763
[9]	Bednarek S, Szafran B, Chwiej T, Adamowski J 2003 Phys. Rev. B 68 045328
[10]	Nair S V, Sinha S, Rustagi K C 1987 Phys. Rev. B 35 4098
[11]	Kayanuma Y 1988 Phys. Rev. B 38 9797
[12]	Xia J B 1989 Phys. Rev. B 40 8500
[13]	Ramaniah L M, Nair S V 1993 Phys. Rev. B 47 7132
[14]	Hu Y Z, Lindberg M, Koch S W 1990 Phys. Rev. B 42 1713
[15]	Li S S, Xia J B 2008 Appl. Phys. Lett. 92 022102
[16]	Dong Q R, Niu Z C 2005 Acta Phys. Sin. 54 1794 (in Chinese) [董庆瑞, 牛智川 2005 54 1794]
[17]	Harju A, Sverdlov V A, Nieminen R M 1998 Europhys. Lett. 41 407
[18]	Filinov A V, Riva C, Peeters F M, Lozovik Y E, Bonitz M 2004 Phys. Rev. B 70 035323
[19]	Zhai L X, Liu J J 2007 J. Appl. Phys. 102 053706
[20]	Zhang H, Shen M, Liu J J 2008 J. Appl. Phys. 103 043705
[21]	Shen M, Liu J J 2011 J. Appl. Phys. 109 094313
[22]	Bayer M, Kuther A, Forchel A, Gorbunov A, Timofeev V B, Schafer F, Reithmaier J P, Reinecke T L, Walck S N 1999 Phys. Rev. Lett. 82 1748

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