The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Localized edge states in two-dimensional topological insulators: Ultrathin Bi films
Open accessAbstract
We theoretically study the generic behavior of the penetration depth of the edge states in two-dimensional quantum spin Hall systems. We found that the momentum-space width of the edge-state dispersion scales with the inverse of the penetration depth. As an example of well-localized edge states, we take the Bi(111) ultrathin film. Its edge states are found to extend almost over the whole Brillouin zone. Correspondingly, the bismuth (111) 1-bilayer system is proposed to have well-localized edge states in contrast to the HgTe quantum well.
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
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
Topological insulators with inversion symmetry
Fu, L., & Kane, C. L. (2007) · Physical Review B · doi:10.1103/physrevb.76.045302 · Cited by 4,252
Nonlocal Transport in the Quantum Spin Hall State
Roth, A., Brüne, C., Buhmann, H., Molenkamp, L. W., Maciejko, J., Qi, X.-L., & Zhang, S.-C. (2009) · Science · doi:10.1126/science.1174736 · Cited by 916
Helical Liquid and the Edge of Quantum Spin Hall Systems
Wu, C., Bernevig, B. A., & Zhang, S.-C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.106401 · Cited by 759
Stability of the quantum spin Hall effect: Effects of interactions, disorder, andZ2topology
Xu, C., & Moore, J. E. (2006) · Physical Review B · doi:10.1103/physrevb.73.045322 · Cited by 571
Electronic structure of the semimetals Bi and Sb
Liu, Y., & Allen, R. E. (1995) · Physical Review B · doi:10.1103/physrevb.52.1566 · Cited by 375
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
Z2Pack: Numerical implementation of hybrid Wannier centers for identifying topological materials
Gresch, D., Autès, G., Yazyev, O. V., Troyer, M., Vanderbilt, D., Bernevig, B. A., & Soluyanov, A. A. (2017) · Physical Review B · doi:10.1103/physrevb.95.075146 · Cited by 438
Aktürk, E., Aktürk, O. Ü., & Ciraci, S. (2016) · Physical Review B · doi:10.1103/physrevb.94.014115 · Cited by 382
Interfacing 2D and 3D Topological Insulators: Bi(111) Bilayer onBi2Te3
Hirahara, T., Bihlmayer, G., Sakamoto, Y., Yamada, M., Miyazaki, H., Kimura, S.-I., Blügel, S., & Hasegawa, S. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.166801 · Cited by 277
Self-citationGap closing and universal phase diagrams in topological insulators
Murakami, S. (2011) · Physica E: Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2010.07.043 · Cited by 28
Self-citation
Metadata
- Authors
- Wada, M., Murakami, S., Freimuth, F., & Bihlmayer, G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2011-03-21
- Volume
- 83
- Issue
- 12
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2088253963
- Cited by
- 368
- References
- 8
- FWCI
- 11.82
- 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: Localized edge states in two-dimensional topological insulators: Ultrathin Bi films. https://app.cochat.ai/papers/10.1103/physrevb.83.121310
- The paper
- Wada, M., Murakami, S., Freimuth, F., & Bihlmayer, G. (2011). Localized edge states in two-dimensional topological insulators: Ultrathin Bi films. Physical Review B. https://doi.org/10.1103/physrevb.83.121310
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.
