The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Stable NontrivialZ2Topology in Ultrathin Bi (111) Films: A First-Principles Study
Open accessAbstract
Recently, there have been intense efforts in searching for new topological insulator materials. Based on first-principles calculations, we find that all the ultrathin Bi (111) films are characterized by a nontrivial Z(2) number independent of the film thickness, without the odd-even oscillation of topological triviality as commonly perceived. The stable nontrivial Z(2) topology is retained by the concurrent band gap inversions at multiple time-reversal-invariant k points with the increasing film thickness and associated with the intermediate interbilayer coupling of the Bi film. Our calculations further indicate that the presence of metallic surface states in thick Bi (111) films can be effectively removed by surface adsorption.
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
Self-interaction correction to density-functional approximations for many-electron systems
Perdew, J. P., & Zunger, A. (1981) · Physical Review B · doi:10.1103/physrevb.23.5048 · Cited by 20,887
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
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
Self-citationQuantum 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
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
Experimental Realization of a Three-Dimensional Topological Insulator, Bi 2 Te 3
Chen, Y. L., Analytis, J. G., Chu, J.-H., Liu, Z. K., Mo, S.-K., Qi, X. L., Zhang, H. J., Lu, D. H., Dai, X., Fang, Z., et al. (2009) · Science · doi:10.1126/science.1173034 · Cited by 3,585
Self-citationA 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
The quantum spin Hall effect and topological insulators
Qi, X.-L., & Zhang, S.-C. (2010) · Physics Today · doi:10.1063/1.3293411 · Cited by 1,283
Cited by
Colloquium : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587
Quantum spin Hall state in monolayer 1T'-WTe2
Tang, S., Zhang, C., Wong, D., Pedramrazi, Z., Tsai, H.-Z., Jia, C., Moritz, B., Claassen, M., Ryu, H., Kahn, S., et al. (2017) · Nature Physics · doi:10.1038/nphys4174 · Cited by 846
Self-citationAktürk, E., Aktürk, O. Ü., & Ciraci, S. (2016) · Physical Review B · doi:10.1103/physrevb.94.014115 · Cited by 382
Prediction of a Two-Dimensional Organic Topological Insulator
Wang, Z. F., Su, N., & Liu, F. (2013) · Nano Letters · doi:10.1021/nl401147u · Cited by 346
Self-citationEpitaxial growth of ultraflat stanene with topological band inversion
Deng, J., Xia, B., Ma, X., Chen, H., Shan, H., Zhai, X., Li, B., Zhao, A., Xu, Y., Duan, W., et al. (2018) · Nature Materials · doi:10.1038/s41563-018-0203-5 · Cited by 346
Self-citation
Metadata
- Authors
- Liu, Z., Liu, C.-X., Wu, Y.-S., Duan, W.-H., Liu, F., & Wu, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-09-23
- Volume
- 107
- Issue
- 13
- Pages
- 136805-136805
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2012386668
- Cited by
- 352
- References
- 13
- FWCI
- 10.08
- 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: Stable NontrivialZ2Topology in Ultrathin Bi (111) Films: A First-Principles Study. https://app.cochat.ai/papers/10.1103/physrevlett.107.136805
- The paper
- Liu, Z., Liu, C.-X., Wu, Y.-S., Duan, W.-H., Liu, F., & Wu, J. (2011). Stable NontrivialZ2Topology in Ultrathin Bi (111) Films: A First-Principles Study. Physical Review Letters. https://doi.org/10.1103/physrevlett.107.136805
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.
