Hall voltage and current distributions in an ideal two-dimensional system

A. H. MacDonald, T. M. Rice, W. F. Brinkman

Research output: Contribution to journalArticlepeer-review

148 Scopus citations


The redistribution of charge, which generates the Hall voltage, cannot occur only at the edges in a two-dimensional system but must occur in the bulk. Using a Hartree approximation we derive a self-consistent equation which describes the charge, current, and Hall voltage distributions in a two-dimensional electron gas with filled Landau levels. These distributions are weighted toward the sample edges with a decay length into the bulk which depends on sample size and magnetic field strength.

Original languageEnglish (US)
Pages (from-to)3648-3650
Number of pages3
JournalPhysical Review B
Issue number6
StatePublished - 1983

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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