The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Topological insulators on the Lieb and perovskite lattices
Open accessAbstract
Electrons hopping on the sites of a two-dimensional Lieb lattice and three-dimensional edge-centered cubic (perovskite) lattice are shown to form topologically nontrivial insulating phases when spin-orbit coupling is introduced. These simple models on lattices with cubic symmetry show a Dirac-type structure in the excitation spectrum but with the unusual feature that there is a dispersionless band through the center of the spectrum and only a single Dirac cone per Brillouin zone.
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.
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
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
Bernevig, B. A., Hughes, T. L., & Zhang, S.-C. (2006) · Science · doi:10.1126/science.1133734 · Cited by 7,090
Z 2 Topological Order and the Quantum Spin Hall Effect
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.146802 · Cited by 6,460
Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface
Zhang, H., Liu, C.-X., Qi, X.-L., Dai, X., Fang, Z., & Zhang, S.-C. (2009) · Nature Physics · doi:10.1038/nphys1270 · Cited by 6,359
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
Xia, Y., Qian, D., Hsieh, D., Wray, L., Pal, A., Lin, H., Bansil, A., Grauer, D., Hor, Y. S., Cava, R. J., et al. (2009) · Nature Physics · doi:10.1038/nphys1274 · Cited by 3,765
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523
Topological field theory of time-reversal invariant insulators
Qi, X.-L., Hughes, T. L., & Zhang, S.-C. (2008) · Physical Review B · doi:10.1103/physrevb.78.195424 · Cited by 3,329
Research works printed but not linked: 16
- 10.1038/nature08916 · DOI · Paper page
- 10.1126/science.1167747 · DOI · Paper page
- 10.1103/PhysRevB.82.035105 · DOI
- 10.1103/PhysRevLett.95.226801 · DOI · Paper page
- 10.1103/PhysRevLett.96.106802 · DOI · Paper page
- 10.1103/PhysRevLett.61.2015 · DOI · Paper page
- 10.1103/PhysRevB.80.113102 · DOI · Paper page
- 10.1103/PhysRevB.81.205115 · DOI
- 10.1103/PhysRevLett.103.206805 · DOI · Paper page
- 10.1103/PhysRevLett.103.046811 · DOI · Paper page
- 10.1038/nphys1606 · DOI · Paper page
- 10.1103/PhysRevA.79.053639 · DOI
- 10.1103/PhysRevLett.97.240401 · DOI · Paper page
- 10.1103/PhysRevB.81.041410 · DOI · Paper page
- 10.1103/PhysRevB.78.125104 · DOI · Paper page
- 10.1103/PhysRevB.79.241406 · DOI · Paper page
Cited by
Floquet topological insulators
Cayssol, J., Dóra, B., Simon, F., & Moessner, R. (2013) · physica status solidi (RRL) – Rapid Research Letters · doi:10.1002/pssr.201206451 · Cited by 454
Interacting topological insulators: a review
Rachel, S. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aad6a6 · Cited by 382
Murtaza, G., & Ahmad, I. (2011) · Physica B: Condensed Matter · doi:10.1016/j.physb.2011.05.028 · Cited by 381
Lattice generalization of the Dirac equation to general spin and the role of the flat band
Dóra, B., Kailasvuori, J., & Moessner, R. (2011) · Physical Review B · doi:10.1103/physrevb.84.195422 · Cited by 159
Conical Diffraction and Composite Lieb Bosons in Photonic Lattices
Diebel, F., Leykam, D., Kroesen, S., Denz, C., & Desyatnikov, A. S. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.183902 · Cited by 139
Metadata
- Authors
- Weeks, C., & Franz, M.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2010-08-11
- Volume
- 82
- Issue
- 8
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1973293392
- Cited by
- 308
- References
- 13
- FWCI
- 5.00
- Type
- journal article
- Language
- en
- Open access
- green
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: Topological insulators on the Lieb and perovskite lattices. https://app.cochat.ai/papers/10.1103/physrevb.82.085310
- The paper
- Weeks, C., & Franz, M. (2010). Topological insulators on the Lieb and perovskite lattices. Physical Review B. https://doi.org/10.1103/physrevb.82.085310
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
