Edge state distribution in an Aharonov-Bohm electron interferometer in the integer quantum Hall regime
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Date
2011
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Volume Title
Publisher
IOP PUBLISHING LTD
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info:eu-repo/semantics/openAccess
Abstract
In this study we analyze the density distributions of the two dimensional electron system for an experimental geometry which is topologically equivalent of an Aharonov-Bohm interferometer in three dimensions in the quantum Hall regime and obtain the spatial distribution of the edge states. We employ the Thomas-Fermi approximation in our analysis and solve the Poisson equation in three dimensional using a multi grid technique. Also we obtain the distribution of incompressible strips for a wide range of magnetic fields strengths and comment on their relation with experimental results in literature.
Description
Horiba International Conference/19th International Conference on the Application of High Magnetic Fields in Semiconductor Physics and Nanotechnology (HMF) -- AUG 01-06, 2010 -- Tokyo Univ, Fukuoka, JAPAN
Keywords
Journal or Series
HORIBA INTERNATIONAL CONFERENCE: THE 19TH INTERNATIONAL CONFERENCE ON THE APPLICATION OF HIGH MAGNETIC FIELDS IN SEMICONDUCTOR PHYSICS AND NANOTECHNOLOGY
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Volume
334
