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

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      Author(s)
      Siddiki, A.
      Kavruk, A. E.
      Öztürk, T.
      Atav, U.
      Şahin, M.
      Hakioǧlu T.
      Date
      2008
      Source Title
      Physica E : Low-Dimensional Systems and Nanostructures
      Print ISSN
      1386-9477
      Publisher
      Elsevier B.V.
      Volume
      40
      Issue
      5
      Pages
      1398 - 1400
      Language
      English
      Type
      Article
      Item Usage Stats
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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.
      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
      Permalink
      http://hdl.handle.net/11693/23182
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.physe.2007.09.063
      Collections
      • Department of Physics 2397
      • Institute of Materials Science and Nanotechnology (UNAM) 1930
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