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Cited by 142

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Diophantine equation for the three-dimensional quantum Hall effect

Kohmoto, Mahito, Halperin, Bertrand I., Wu, Yong-Shi·1992·Physical Review B
DOI 10.1103/physrevb.45.13488
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Abstract

When the Fermi level lies in a gap, the Hall conductivity of three-dimensional electrons in a periodic potential is expressed in a topologically invariant form with a set of three integers. If the magnetic fluxes through the three independent areas of the periodic lattice are rational numbers, one obtains a Diophantine equation relating these numbers and the integers which characterize the Hall conductivity.

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Research works printed but not linked: 30

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Metadata

Authors
Kohmoto, M., Halperin, B. I., & Wu, Y.-S.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1992-06-15
Volume
45
Issue
23
Pages
13488-13493
ISSN
  • 0163-1829
  • 1095-3795
DOI
10.1103/physrevb.45.13488
Cited by
142
References
3
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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