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Phys. Rev. Lett. 49, 405–408 (1982)

Quantized Hall Conductance in a Two-Dimensional Periodic Potential

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D. J. Thouless, M. Kohmoto*, M. P. Nightingale, and M. den Nijs
Department of Physics, University of Washington, Seattle, Washington 98195

Received 30 April 1982; published in the issue dated 9 August 1982

The Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field and a periodic substrate potential U. The Kubo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap. Explicit expressions have been obtained for the Hall conductance for both large and small U/ωc.

© 1982 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.49.405
DOI:
10.1103/PhysRevLett.49.405
PACS:
72.15.Gd, 72.20.Mg, 73.90.+b

*Present address: Department of Physics, University of Illinois, Urbana, Ill. 61801.