TY - JOUR

T1 - The symmetry of the relative motion of excitons in semiconductor heterostructures

AU - Harrison, P.

AU - Piorek, T.

AU - Hagston, W. E.

AU - Stirner, T.

PY - 1996/6/1

Y1 - 1996/6/1

N2 - A theoretical model of excitonic states in semiconductor heterostructures is presented. The approach employs the envelope function approximation, and involves a two parameter variational calculation in which the symmetry of the component of the wave function representing the relative motion is allowed to vary between the two-and three-dimensional limits. Detailed calculations are described for a variety of single quantum wells and superlattices. The results show that the excitons are neither 2D nor 3D like, but are intermediate in character. Furthermore, in the main, they assume the symmetry of a prolate spheroid. An exception to this occurs in the special case of an asymmetric double quantum well close to resonance, where two stable exciton states are found for the same one-particle states. One of these 'twin' exciton states is an oblate spheroid. The results illustrate the need for accurate determination of excitonic properties if the dynamical evaluation of exciton states, in for example, quantum well lasers, is to be readily determined.

AB - A theoretical model of excitonic states in semiconductor heterostructures is presented. The approach employs the envelope function approximation, and involves a two parameter variational calculation in which the symmetry of the component of the wave function representing the relative motion is allowed to vary between the two-and three-dimensional limits. Detailed calculations are described for a variety of single quantum wells and superlattices. The results show that the excitons are neither 2D nor 3D like, but are intermediate in character. Furthermore, in the main, they assume the symmetry of a prolate spheroid. An exception to this occurs in the special case of an asymmetric double quantum well close to resonance, where two stable exciton states are found for the same one-particle states. One of these 'twin' exciton states is an oblate spheroid. The results illustrate the need for accurate determination of excitonic properties if the dynamical evaluation of exciton states, in for example, quantum well lasers, is to be readily determined.

KW - Approximation theory

KW - Electron energy levels

KW - Semiconductor quantum wells

KW - Semiconductor superlattices

UR - http://www.scopus.com/inward/record.url?scp=0029705881&partnerID=8YFLogxK

U2 - 10.1006/spmi.1996.0048

DO - 10.1006/spmi.1996.0048

M3 - Article

AN - SCOPUS:0029705881

VL - 20

SP - 45

EP - 57

JO - Micro and Nanostructures

JF - Micro and Nanostructures

SN - 2773-0131

IS - 1

ER -