New Numerical Matrix Methods of Solving the Quasi-One-Dimensional Effective-Mass Equation

• Authors: W. Salejda , M. Tyc , J. Andrzejewski , M. Kubisa , J. Misiewicz , M. Just , K. Ryczko
• Languages of publication: EN

Abstracts

EN

New efficient numerical methods of computing eigenvalues and eigenvectors of quasi-one-dimensional effective-mass Hamiltonian with arbitrary coordinate dependence of charge carrier mass are presented. Within the proposed approach the effective-mass equation is replaced by a nonsymmetric or symmetric matrix eigenproblem which can be analysed numerically with the help of existing computer routines. The presented methods are verified in special semiconductor heterostructure cases that are solvable within other approaches. A generalization of the presented methods for nonparabolic materials is also discussed.

Keywords

EN

02.70.Bf; 73.20.Dx

Discipline

• 02.70.Bf: Finite-difference methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1999
• Volume: 95
• Issue: 6
• Pages: 881-896

Dates

published

1999-06

received

1999-01-14

(unknown)

1999-03-29

Contributors

author

W. Salejda

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

M. Tyc

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

J. Andrzejewski

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

M. Kubisa

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

J. Misiewicz

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

M. Just

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

K. Ryczko

• Institute of Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identifiers

DOI

10.12693/APhysPolA.95.881