Iterative projection methods for computing relevant energy states of a quantum dot

Journal Article · Wed Sep 20 00:00:00 EDT 2006 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2006.01.034· OSTI ID:20840352

Voss, Heinrich ^[1]

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1. Institute of Numerical Simulation, Hamburg University of Technology, Schwarzenberstrasse 95, D-21071 Hamburg (Germany)

A computational technique for computing relevant energy levels and corresponding wave functions of an electron confined by a 3D quantum dot embedded in a semiconductor matrix are studied. Assuming an energy and position dependent electron effective mass approximation this problem is governed by a rational eigenvalue problem. We discuss the application of iterative projection method of Arnoldi and Jacobi-Davidson type. Projected problems of small dimension are solved efficiently by safeguarded iteration.

• OSTI ID: 20840352
• Journal Information: Journal of Computational Physics, Vol. 217, Issue 2; Other Information: DOI: 10.1016/j.jcp.2006.01.034; PII: S0021-9991(06)00042-8; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
EFFECTIVE MASS
EIGENVALUES
ELECTRONIC STRUCTURE
ELECTRONS
ENERGY LEVELS
ITERATIVE METHODS
QUANTUM DOTS
SCHROEDINGER EQUATION
SEMICONDUCTOR MATERIALS
WAVE FUNCTIONS