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Cited by 905

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Topological invariant and the quantization of the Hall conductance

Kohmoto, Mahito·1985·Annals of Physics
DOI 10.1016/0003-4916(85)90148-4
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Overview

Integrity signals

Registry

Crossref · 10.1016/0003-4916(85)90148-4

Cites

1 of 1 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Verification

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The Chern number always takes an integer value.

    “It is not difficult to see that the Chern number always takes an integer value (Kohmoto, 1985).”

    From Topological photonics (2019) · cites this paper as Kohmoto, 1985

  • Thouless et al. (1982) and Kohmoto (1985) related the integer appearing in the Hall conductance to a topological invariant of the system, the Chern number, an integer-valued quantity describing the global structure of the wave function in momentum space over the Brillouin zone.

    “These works related the integer appearing in the Hall conductance to a topological invariant of the system, the Chern number, that is an integer-valued quantity which describes the global structure of the wave function in momentum space over the Brillouin zone.”

    From Topological photonics (2019) · cites this paper as Kohmoto (1985)

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 16

  1. von Klitzing, 1980, Phys. Rev. Lett., 45, 494, 10.1103/PhysRevLett.45.494 · DOI · Paper page
  2. Streda, 1982, J. Phys. C, 15, L717, 10.1088/0022-3719/15/22/005 · DOI · Paper page
  3. Yoshioka, 1983, Phys. Rev. B, 27, 3637, 10.1103/PhysRevB.27.3637 · DOI
  4. Avron, 1983, Phys. Rev. Lett., 51, 51, 10.1103/PhysRevLett.51.51 · DOI · Paper page
  5. Azbel, 1964, Soviet Phys. JETP, 19, 634
  6. Hofstadter, 1976, Phys. Rev. B, 14, 2239, 10.1103/PhysRevB.14.2239 · DOI · Paper page
  7. Kohmoto, 1983, Phys. Rev. Lett., 51, 1198, 10.1103/PhysRevLett.51.1198 · DOI
  8. Laughlin, 1981, Phys. Rev. B, 23, 5632, 10.1103/PhysRevB.23.5632 · DOI · Paper page
  9. Simon, 1983, Phys. Rev. Lett., 51, 2167, 10.1103/PhysRevLett.51.2167 · DOI
  10. Berry, 1984, 392, 45
  11. Brown, 1964, Phys. Rev., 133, A1038, 10.1103/PhysRev.133.A1038 · DOI
  12. Brown, 1968, Solid State Phys., 22, 313, 10.1016/S0081-1947(08)60033-8 · DOI
  13. Zak, 1964, Phys. Rev., 134, A1602, 10.1103/PhysRev.134.A1602 · DOI · Paper page
  14. Eguchi, 1980, Phys. Rep., 66, 213, 10.1016/0370-1573(80)90130-1 · DOI
  15. Van Velsen, 1978, Phys. Rep., 41, 135, 10.1016/0370-1573(78)90136-9 · DOI
  16. Widom, 1983, Phys. Rev. B, 28, 4858, 10.1103/PhysRevB.28.4858 · DOI

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Metadata

Authors
Kohmoto, M.
Venue
Annals of Physics
Publisher
Elsevier BV
Published
1985-04
Volume
160
Issue
2
Pages
343-354
ISSN
0003-4916
DOI
10.1016/0003-4916(85)90148-4
Cited by
905
References
1
Language
en
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

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