Change of Hall conductance induced by band crossing

Ming Yi Lee, Ming Che Chang, Tzay Ming Hong

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We investigate the change of Hall conductance induced by band crossing in the Hofstadter spectrum. Numerical study shows that, if the magnetic flux is (Formula presented) flux quanta per plaquette, then the change of the Hall conductance is (Formula presented) or 0, depending on whether the energy dispersion near degenerate points is linear or quadratic. This is consistent with an earlier study by Bellissard (cond-mat/9504030, unpublished). We also find that the change of the Hall conductance is accompanied by the “transport” of a daughter subband between the degenerate parent bands. A semiclassical explanation of this subtle effect is offered.

Original languageEnglish
Pages (from-to)11895-11898
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume57
Issue number19
DOIs
Publication statusPublished - 1998 Jan 1

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Magnetic flux
Fluxes
magnetic flux
energy

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Change of Hall conductance induced by band crossing. / Lee, Ming Yi; Chang, Ming Che; Hong, Tzay Ming.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 57, No. 19, 01.01.1998, p. 11895-11898.

Research output: Contribution to journalArticle

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