Numerical modeling of the InAs quantum dot with application of coordinate transformation and the finite difference method

被引：11

作者：

Bouazra, A. ^{[1
]}

Mnasri, S. ^{[1
]}

Abdi-Ben Nasrallah, S. ^{[1
]}

Said, M. ^{[1
]}

机构：

[1] Fac Sci Monastir, Dept Phys, Lab Mat Condensee & Nanosci LMCN, Monastir 5019, Tunisia

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2014年 / 185卷 / 04期

关键词：

Quantum dot; Coordinate transformation; Finite difference method; Electronic band structure; 1.55 mu m wavelength; OPTICAL-PROPERTIES; ELEMENT-ANALYSIS; ELECTRONIC-STRUCTURE; HYDROGENIC IMPURITY; STATES; BAND; WIRES; MAGNETOPHOTOLUMINESCENCE; PHOTOLUMINESCENCE; TRANSITIONS;

D O I：

10.1016/j.cpc.2014.01.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In order to resolve the three dimensional Schrodinger equation, we report in this paper a method providing sufficient accuracy, stability and flexibility with respect to the size and shape of the quantum dot. This numerical method, already used in the two-dimensional case, is based on a suitable combination of coordinate transformation and the finite difference method. It provides an efficient and simple approach for the energy and wavefunction calculations of quantum nanostructures. The proposed method is used to investigate the electron and hole energy levels as well as their wave functions in InAs/GaAs strained and unstrained quantum dots with the aim to attain the 1.55 mu m wavelength with realistic dot size. The optical transition energies and the oscillator strengths are also studied. The obtained results are in agreement with several previous works. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：1290 / 1298

页数：9

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