Accession Number:

ADP012624

Title:

On the scaling of Exciton and Impurity Binding Energies and the Virial Theorem in Semiconductor Quantum Wells and Quantum-Well Wires

Descriptive Note:

Symposium proceedings

Corporate Author:

UNIVERSIDADE ESTADUAL DE CAMPINAS (BRAZIL) INST DE FISICA

Personal Author(s):

Report Date:

2002-01-01

Pagination or Media Count:

6.0

Abstract:

We have used the variational and fractional-dimensional space approaches in a study of the virial theorem value and scaling of the shallow-donor binding energies versus donor Bohr radius in GaAs-Ga, AlAs semiconductor quantum wells and quantum-well wires. A comparison is made with previous results with respect to exciton states. In the case the donor ground-state wave function may be approximated by a D-dimensional hydrogenic wave function, the virial theorem value equals 2 and the scaling rule for the donor binding energy versus quantum-sized Bohr radius is hyperbolic, both for quantum wells and wires. In contrast, calculations within the variational scheme show that the scaling of the donor binding energies with quantum-sized Bohr radius is in general nonhyperbolic and that the virial theorem value is nonconstant.

Subject Categories:

  • Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE