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      Where are the edge-states near the quantum point contacts? A self-consistent approach

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      Author(s)
      Siddiki, A.
      Cicek, E.
      Eksi, D.
      Mese, A. I.
      Aktas, S.
      Hakioğlu, T.
      Date
      2007
      Source Title
      Physica E
      Print ISSN
      1386-9477
      Electronic ISSN
      1873-1759
      Publisher
      Elsevier B.V.
      Volume
      40
      Pages
      1160 - 1162
      Language
      English
      Type
      Article
      Item Usage Stats
      115
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      Abstract
      Abstract In this work, we calculate the current distribution, in the close vicinity of the quantum point contacts (QPCs), taking into account the Coulomb interaction. In the first step, we calculate the bare confinement potential of a generic QPC and, in the presence of a perpendicular magnetic field, obtain the positions of the incompressible edge states (IES) taking into account electron–electron interaction within the Thomas–Fermi theory of screening. Using a local version of Ohm’s law, together with a relevant conductivity model, we also calculate the current distribution. We observe that, the imposed external current is confined locally into the incompressible strips. Our calculations demonstrate that, the inclusion of the electron–electron interaction, strongly changes the general picture of the transport through the QPCs.
      Keywords
      Edge states
      Quantum Hall effect
      Screening
      Quantum point contact’s
      Mach-Zehnder interferometer
      Permalink
      http://hdl.handle.net/11693/48714
      Published Version (Please cite this version)
      https://doi.org/10.1016/j.physe.2007.08.097
      Collections
      • Department of Physics 2397
      • Institute of Materials Science and Nanotechnology (UNAM) 1930
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