Local current distribution at large quantum dots (QDs): A self-consistent screening model

P. M. Krishna*, A. Siddiki, K. Güven, T. Hakioǧlu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We report the implementation of the self-consistent Thomas-Fermi screening theory, together with the local Ohm's law to a quantum dot system in order to obtain local current distribution within the dot and at the leads. We consider a large dot (size > 700 nm) defined by split gates, and coupled to the leads. Numerical calculations show that the non-dissipative current is confined to the incompressible strips. Due to the non-linear screening properties of the 2DES at low temperatures, this distribution is highly sensitive to external magnetic field. Our findings support the phenomenological models provided by the experimental studies so far, where the formation of the (direct) edge channels dominate the transport.

Original languageEnglish
Pages (from-to)1142-1144
Number of pages3
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Volume40
Issue number5
DOIs
Publication statusPublished - Mar 2008
Externally publishedYes

Keywords

  • Edge states
  • Quantum Hall effect
  • Quantum dots
  • Screening

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