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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.
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“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.
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“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
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“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
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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]
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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
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