Hall resistance for fermions in a flux-tube and a possible violation of perfect Aharonov-Bohm periodicity

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3 Scopus citations

Abstract

We study the Hall resistance of a two dimensional quantum system with reflecting walls threaded by a magnetic flux tube of small radius. The interaction of the electron spin with the magnetic field inside the flux tube is taken explicitly into account. Owing to the lack of rotational invariance, this interaction leads to a small (albeit qualitatively remarkable) deviation from perfect Aharonov-Bohm periodicity even when the flux tube shrinks into a flux line. We explain how this result is compatible with gauge invariance.

Original languageEnglish
Pages (from-to)77-81
Number of pages5
JournalSolid State Communications
Volume77
Issue number1
DOIs
StatePublished - 1 Jan 1991

ASJC Scopus subject areas

  • Chemistry (all)
  • Condensed Matter Physics
  • Materials Chemistry

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