Landauer-type formulation of quantum-Hall transport: Critical currents and narrow channels

Jainendra K. Jain, S. A. Kivelson

Research output: Contribution to journalArticlepeer-review

96 Scopus citations

Abstract

Landauer-type formulas are derived for two-dimensional quantum-Hall transport in the extreme quantum limit (Latin small letter h with strokec) for an arbitrary current through an electron system confined to a channel. For narrow channels the problem is mapped into a one-dimensional ordinary (B=0) transport problem. An expression for the critical current and a description of the breakdown of the dissipationless transport are obtained. We find that it is possible to have quantization of the Hall resistance even when the magnetoresistance is nonzero.

Original languageEnglish (US)
Pages (from-to)4276-4279
Number of pages4
JournalPhysical Review B
Volume37
Issue number8
DOIs
StatePublished - Jan 1 1988

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics

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