The DOI matches its Crossref record; 640 of the 645 references it cites were found in a registry or an index.
Colloquium : Topological band theory
Open accessAbstract
First-principles band theory, properly augmented by topological considerations, has provided a remarkably successful framework for predicting new classes of topological materials. This Colloquium discusses the underpinnings of the topological band theory and its materials applications.
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?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“As mentioned above, a QAHI system is in principle similar to the integer quantum Hall system, but the former occurs without an external magnetic field and LLs (76,79) and thus carries great promise for possible applications in spintronics.”
From Transport of Topological Semimetals (2019) · cites this paper as [79]
Experimental — accuracy not yet measuredThe source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“topological band theory (Hasan and Kane, 2010;Qi and Zhang, 2011;Bansil, Lin, and Das, 2016) directly applies to the Bloch bands associated with the effective Hamiltonian Ĥeff , i.e., the socalled “Floquet spectrum.””
From Topological photonics (2019) · cites this paper as Bansil, Lin, and Das, 2016
Experimental — accuracy not yet measuredThe cited source says what the claim attributes to it.
In the citing paper
“In this regard, ab initio calculations have proven extremely powerful in identifying real materials that exhibit not just these, but many topological phases (Bansil et al. , 2016).”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Bansil et al., 2016
The check wasn’t confident either way, so it gives no verdict — never disputed.
In the citing paper
“Apparently, the magnetic field necessary to produce an integer quantum Hall system is no longer needed for a QSHI system (76,79), as the magnetic field is cancelled out when the time-reversal copies of integer quantum Hall systems are brought together.”
From Transport of Topological Semimetals (2019) · cites this paper as [79]
Experimental — accuracy not yet measured
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-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
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
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
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
Imada, M., Fujimori, A., & Tokura, Y. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.1039 · Cited by 7,671
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
Cited by
Sorted by citations
Items 1,001–1,001 of 1,001
Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“…the extensive contributions of ab initio techniques to the discovery of topological materials (including Weyl and Dirac states) were reviewed in Bansil et al., 2016; Weng et al., 2016a. Kharzeev, 2014 reviews connections of Weyl fermions in solid-state physics to the chiral anomaly in quantum…”
Background
Metadata
- Authors
- Bansil, A., Lin, H., & Das, T.
- Affiliations
- Northeastern University (US)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2016-06-29
- Volume
- 88
- Issue
- 2
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W2293673104
- Cited by
- 1,587
- References
- 645
- Citations by year
- 2026: 111 · 2025: 152 · 2024: 190 · 2023: 161 · 2022: 164 · 2021: 194 · 2020: 222 · 2019: 145 · 2018: 140 · 2017: 89 · 2016: 17
- FWCI
- 61.63
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Reviews of Modern Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University) (public-domain)
- Funders
- U.S. Department of Energy (DE-FG02-07ER46352, DE-AC02-05CH11231, DE-SC0012575)
- National Research Foundation Singapore (NRF-NRFF2013-03)
- 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 › Materials Science › Materials Chemistry › 2D Materials and Applications
- Keywords
- topological band theory, topological materials, topological phases, band topology, topological insulators, topological semimetals
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
