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Aharonov-Bohm oscillations in a quantum ring: Eccentricity and electric-field effects

Aharonov-Bohm oscillations in a quantum ring: Eccentricity and electric-field effects The effects of an in-plane electric field and eccentricity on the electronic spectrum of a GaAs quantum ring in a perpendicular magnetic field are studied. The effective-mass equation is solved by two different methods: an adiabatic approximation and a diagonalization procedure after a conformal mapping. It is shown that the electric field and the eccentricity may suppress the Aharonov-Bohm oscillations of the lower energy levels. Simple expressions for the threshold energy and the number of flat energy bands are found. In the case of a thin and eccentric ring, the intensity of a critical field which compensates the main effects of eccentricity is determined. The energy spectra are found in qualitative agreement with previous experimental and theoretical works on anisotropic rings. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Aharonov-Bohm oscillations in a quantum ring: Eccentricity and electric-field effects

Physical Review B , Volume 71 (12) – Mar 15, 2005
7 pages

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References (18)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2005 The American Physical Society
ISSN
1550-235X
DOI
10.1103/PhysRevB.71.125312
Publisher site
See Article on Publisher Site

Abstract

The effects of an in-plane electric field and eccentricity on the electronic spectrum of a GaAs quantum ring in a perpendicular magnetic field are studied. The effective-mass equation is solved by two different methods: an adiabatic approximation and a diagonalization procedure after a conformal mapping. It is shown that the electric field and the eccentricity may suppress the Aharonov-Bohm oscillations of the lower energy levels. Simple expressions for the threshold energy and the number of flat energy bands are found. In the case of a thin and eccentric ring, the intensity of a critical field which compensates the main effects of eccentricity is determined. The energy spectra are found in qualitative agreement with previous experimental and theoretical works on anisotropic rings.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Mar 15, 2005

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