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Type: Artigo de periódico
Title: Virial theorem, scaling properties and magnetic-field effects on Coulomb-bound states in semiconductor quantum wells
Author: Reyes-Gomez, E
Oliveira, LE
de Dios-Leyva, M
Abstract: We have used the variational and fractional-dimensional space approaches, in the effective-mass approximation, in order to investigate the effects of applied magnetic fields on Coulomb-bound states, i.e. donor and exciton states, confined in GaAs-(Ga, Al)As quantum wells. In the variational procedure, we have used a simple hydrogenic-like envelope wavefunction whereas the anisotropic Coulomb-bound state+quantum well+magnetic-field system is modelled through an effective isotropic medium in the fractional-dimensional scheme. The magnetic fields are applied along the heterostructure growth direction, and calculations were performed for the binding energies, virial-theorem values and scaling properties. A virial-theorem value equal to 2 and a hyperbolic scaling for binding energies of Coulomb-bound states versus quantum-confined Bohr radii are obtained if one assumes a ground-state envelope wavefunction as a D-dimensional hydrogenic wavefunction, in contrast with results using the variational approach. Moreover, theoretical results within the variational approach lead to exciton-energy diamagnetic shifts in good agreement with available experimental measurements.
Country: Inglaterra
Editor: Iop Publishing Ltd
Rights: fechado
Identifier DOI: 10.1088/0268-1242/19/6/007
Date Issue: 2004
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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