The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
The quantum spin Hall effect and topological insulators
Open accessAbstract
In topological insulators, spin–orbit coupling and time-reversal symmetry combine to form a novel state of matter predicted to have exotic physical properties.
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
“These insulators are fully gapped in the bulk, but have gapless edge or surface states which are topologically protected by the time reversal symmetry.”
From Model Hamiltonian for topological insulators (2010) · cites this paper as [2]
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 in Graphene
Kane, C. L., & Mele, E. J. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.226801 · Cited by 8,197
Klitzing, K. V., Dorda, G., & Pepper, M. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.494 · Cited by 7,119
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
Self-citationNon-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
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
Self-citationSuperconducting 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
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
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
Self-citationTopological invariants of time-reversal-invariant band structures
Moore, J. E., & Balents, L. (2007) · Physical Review B · doi:10.1103/physrevb.75.121306 · Cited by 2,350
Bernevig, B. A., & Zhang, S.-C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.106802 · Cited by 2,164
Self-citationObservation of Unconventional Quantum Spin Textures in Topological Insulators
Hsieh, D., Xia, Y., Wray, L., Qian, D., Pal, A., Dil, J. H., Osterwalder, J., Meier, F., Bihlmayer, G., Kane, C. L., et al. (2009) · Science · doi:10.1126/science.1167733 · Cited by 1,239
Topological phases and the quantum spin Hall effect in three dimensions
Roy, R. (2009) · Physical Review B · doi:10.1103/physrevb.79.195322 · Cited by 973
Inducing a Magnetic Monopole with Topological Surface States
Qi, X.-L., Li, R., Zang, J., & Zhang, S.-C. (2009) · Science · doi:10.1126/science.1167747 · Cited by 960
Self-citationWilczek, F. (2009) · Nature Physics · doi:10.1038/nphys1380 · Cited by 913
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
Self-citationStability 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
A Four-Dimensional Generalization of the Quantum Hall Effect
Zhang, S.-C., & Hu, J. (2001) · Science · doi:10.1126/science.294.5543.823 · Cited by 530
Self-citationThree-dimensional localization of ultracold atoms in an optical disordered potential
Jendrzejewski, F., Bernard, A., Müller, K., Cheinet, P., Josse, V., Piraud, M., Pezzè, L., Sanchez-Palencia, L., Aspect, A., & Bouyer, P. (2012) · Nature Physics · doi:10.1038/nphys2256 · Cited by 452
THE CHERN–SIMONS–LANDAU–GINZBURG THEORY OF THE FRACTIONAL QUANTUM HALL EFFECT
Zhang, S.-C. (1992) · International Journal of Modern Physics B · doi:10.1142/s0217979292000037 · Cited by 405
Self-citationMacroscopic effects of the spectral structure in turbulent flows
Tran, T. A., Chakraborty, P., Guttenberg, N., Prescott, A., Kellay, H., Goldburg, W. I., Goldenfeld, N. D., & Gioia, G. (2010) · Nature Physics · doi:10.1038/nphys1674 · Cited by 47
Wilczek, F. A. (2009) · Nature · doi:10.1038/458129e · Cited by 19
Flagged first, then by citations
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
Self-citationWan, X., Turner, A. M., Vishwanath, A., & Savrasov, S. Y. (2011) · Physical Review B · doi:10.1103/physrevb.83.205101 · Cited by 4,718
Graphene-Like Two-Dimensional Materials
Xu, M., Liang, T., Shi, M., & Chen, H. (2013) · Chemical Reviews · doi:10.1021/cr300263a · Cited by 4,567
Crossover of the three-dimensional topological insulator Bi2Se3 to the two-dimensional limit
Zhang, Y., He, K., Chang, C., Song, C., Wang, L.-L., Chen, X., Jia, J., Fang, Z., Dai, X., Shan, W.-Y., et al. (2010) · Nature Physics · doi:10.1038/nphys1689 · Cited by 1,458
Self-citation
Metadata
- Authors
- Qi, X.-L., & Zhang, S.-C.
- Affiliations
- Stanford University (US)
- Stanford University 2 , Stanford, California, US
- ORCID
- Qi, Xiao-Liang
- Venue
- Physics Today
- Publisher
- AIP Publishing
- Published
- 2010-01-01
- Volume
- 63
- Issue
- 1
- Pages
- 33-38
- ISSN
- 0031-9228 (ISSN-L)
- 1945-0699
- OpenAlex
- W2077670065
- Cited by
- 1,283
- References
- 25
- Citations by year
- 2026: 31 · 2025: 39 · 2024: 44 · 2023: 43 · 2022: 69 · 2021: 61 · 2020: 76 · 2019: 55 · 2018: 70 · 2017: 70 · 2016: 68 · 2015: 101 · 2014: 95 · 2013: 118 · 2012: 137
- FWCI
- 63.65
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Today (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Quantum and electron transport phenomena
- Keywords
- quantum spin Hall effect, topological insulators, spin-orbit coupling, time-reversal symmetry, topological phase transition
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