Wrapping current versus bulk integer quantum Hall effect in three dimensions

Mikito Koshino, Hideo Aoki, Bertrand I. Halperin

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

Surface electron currents are studied for the integer quantum Hall effect in three dimensions (3D) proposed previously by Kohmoto et al. [Phys. Rev. B 45, 13 488 (1992)] and by Koshino et al. [Phys. Rev. Lett. 86, 1062 (2001)]. We predict that the current wraps the facets of the sample with its intensity and direction dictated by 3D Chern numbers that are just the quantized Hall conductivities in 3D (σxy, σzx), so a natural connection exists between the surface and bulk currents just as in 2D. An experiment to detect the 3D integer quantum Hall effect through the wrapping current is proposed.

Original languageEnglish
Article number081301
Pages (from-to)813011-813014
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume66
Issue number8
DOIs
Publication statusPublished - 2002 Aug 15

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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