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Quantized Hall conductivity in two dimensions

Laughlin, R. B.·1981·Physical Review B
DOI 10.1103/physrevb.23.5632
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Abstract

It is shown that the quantization of the Hall conductivity of two-dimensional metals which has been observed recently by Klitzing, Dorda, and Pepper and by Tsui and Gossard is a consequence of gauge invariance and the existence of a mobility gap. Edge effects are shown to have no influence on the accuracy of quantization. An estimate of the error based on thermal activation of carriers to the mobility edge is suggested.

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Crossref · 10.1103/physrevb.23.5632

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  • The central position x_c of each eigenstate shifts to that associated with the next allowed value of k_y, similar to how minima move in the screw pump, and in agreement with Laughlin's pumping argument.

    “The central position x c of each eigenstate shifts to that associated with the next allowed value of k y , similar to how minima move in the screw pump, and in agreement with Laughlin's pumping argument (Laughlin, 1981).”

    From Topological photonics (2019) · cites this paper as Laughlin, 1981

  • The general spectral flow argument is applicable to photonic systems.

    “While the transverse conductance experiment usually performed in electronic systems is not applicable to photonic systems, the general spectral flow argument (Laughlin, 1981;Halperin, 1982) is in fact applicable also to this case.”

    From Topological photonics (2019) · cites this paper as Laughlin, 1981

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Research works printed but not linked: 2

  1. K. V. Klitzing, 1980, Phys. Rev. Lett., 45, 494, 10.1103/PhysRevLett.45.494 · DOI · Paper page
  2. T. Ando, 1974, J. Phys. Soc. Jpn., 37, 622, 10.1143/JPSJ.37.622 · DOI

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Metadata

Authors
Laughlin, R. B.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1981-05-15
Volume
23
Issue
10
Pages
5632-5633
ISSN
0163-1829
DOI
10.1103/physrevb.23.5632
Cited by
2,162
References
0
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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