The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
In the citing paper
“This Z 2 topological invariant keeps the same value even when spin-mixing terms are added, provided time-reversal symmetry is maintained (Kane and Mele, 2005b;Fu and Kane, 2006;Sheng et al., 2006;Roy, 2009).”
From Topological photonics (2019) · cites this paper as Sheng et al., 2006
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Electric Field Effect in Atomically Thin Carbon Films
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Zhang, Y., Dubonos, S. V., Grigorieva, I. V., & Firsov, A. A. (2004) · Science · doi:10.1126/science.1102896 · Cited by 66,834
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
Laughlin, R. B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.1395 · Cited by 5,749
Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
Haldane, F. D. M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.206602 · Cited by 760
Self-citation
Research works printed but not linked: 17
- 1990, The Quantum Hall Effect
- 10.1103/PhysRevB.41.9377 · DOI · Paper page
- M. V. Berry, 1984, Proc. R. Soc. A, 392, 45, 10.1098/rspa.1984.0023 · DOI · Paper page
- 10.1103/PhysRevB.31.3372 · DOI · Paper page
- 10.1103/PhysRevLett.90.256802 · DOI
- 10.1103/PhysRevLett.61.2015 · DOI · Paper page
- 10.1103/PhysRevLett.95.146802 · DOI · Paper page
- 10.1103/PhysRevLett.95.226801 · DOI · Paper page
- 10.1103/PhysRevLett.95.136602 · DOI
- 10.1103/PhysRevLett.96.106802 · DOI · Paper page
- 10.1103/PhysRevLett.96.106401 · DOI · Paper page
- 10.1126/science.1087128 · DOI
- 10.1103/PhysRevLett.92.126603 · DOI
- 10.1103/PhysRevB.73.045322 · DOI · Paper page
- 10.1103/PhysRevB.72.153307 · DOI
- 10.1103/PhysRevLett.60.619 · DOI
- 10.1103/PhysRevLett.91.116802 · DOI
Cited by
Sorted by citations
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Lu, L., Joannopoulos, J. D., & Soljačić, M. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.248 · Cited by 3,655
Metadata
- Authors
- Sheng, D. N., Weng, Z. Y., Sheng, L., & Haldane, F. D. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-07-21
- Volume
- 97
- Issue
- 3
- ISSN
- 0031-9007
- 1079-7114
- Cited by
- 642
- References
- 4
- Language
- en
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers. https://app.cochat.ai/papers/10.1103/physrevlett.97.036808
- The paper
- Sheng, D. N., Weng, Z. Y., Sheng, L., & Haldane, F. D. M. (2006). Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers. Physical Review Letters. https://doi.org/10.1103/physrevlett.97.036808