Quasi-bound states determination using a perturbed wavenumbers method in a large quantum box

Author

Anemogiannis, Emmanuel ; Glytsis, Elais N. ; Gaylord, Thomas K.

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

33

Issue

5

fYear

1997

fDate

5/1/1997 12:00:00 AM

Firstpage

742

Lastpage

752

Abstract

A perturbed wavenumbers method (PWM) is presented that is capable of determining the quasi-bound-state eigenenergies and their lifetimes for quantum heterostructures having arbitrary potential profiles. The numerical method presented solves the single-band effective-mass Schrodinger equation without using complex energies. It is applicable to quantum structures that are symmetric, asymmetric, unbiased, or biased. For multiple quantum heterostructures, extensive comparisons of this numerical method with other currently used techniques are included. In addition, a modified density of states formulation is presented and applied to these example cases

Keywords

Schrodinger equation; bound states; effective mass; electronic density of states; perturbation theory; quantum interference phenomena; semiconductor quantum dots; asymmetric quantum structures; biased quantum structures; large quantum box; lifetimes; modified density of states formulation; multiple quantum heterostructures; numerical method; perturbed wavenumbers method; potential profiles; quantum heterostructures; quasi-bound states determination; quasi-bound-state eigenenergies; single-band effective-mass Schrodinger equation; symmetric quantum structures; unbiased quantum structures; Conductivity; Electrons; Equations; Interference; Optical design; Photodetectors; Pulse width modulation; Quantum well devices; Resonance; Tunneling;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.572148

Filename

572148