The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI)

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The self-consistent calculation of the edge states at quantum Hall effect (QHE) based Mach-Zehnder interferometers (MZI).pdf (277.55 KB)

Date

2008

Authors

Siddiki, A.
Kavruk, A. E.
Öztürk, T.
Atav, U.
Şahin, M.
Hakioǧlu T.

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Abstract

The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a Hartree type self-consistent model. The magnetic field dependence of these IES is investigated and it is found that an interference pattern may be observed if two IES merge or come very close, near the quantum point contacts. Our calculations demonstrate that, being in a quantized Hall plateau does not guarantee observing the interference behavior.

Source Title

Physica E : Low-Dimensional Systems and Nanostructures

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Elsevier B.V.

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Keywords

Edge states, Electronic Mach-Zehnder interferometer, Quantum hall effect, Screening, Electron-electron interactions, Hall effect, Mach-Zehnder interferometers, Magnetic field effects, Mathematical models, Point contacts, Topology, Edge states, Incompressible edge states, Quantum point contacts, Electron energy levels

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http://hdl.handle.net/11693/23182

Published Version (Please cite this version)

http://dx.doi.org/10.1016/j.physe.2007.09.063

Collections

Scholarly Publications - Physics
Scholarly Publications - UNAM

Language

English

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Article