The birth of topological insulators
Abstract
Certain insulators have exotic metallic states on their surfaces. These states are formed by topological effects that also render the electrons travelling on such surfaces insensitive to scattering by impurities. Such topological insulators may provide new routes to generating novel phases and particles, possibly finding uses in technological applications in spintronics and quantum computing.
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A pair of degenerate points, behaving as topological defects in the band structure with associated Berry phase of π and -π, guarantees stability and robustness against small perturbations and disorders.
“A pair of degenerate points, behaving as topological defects in the band structure with associated Berry phase of π and -π , guarantees the stability and robustness against small perturbations and disorders, which inspires topologically protected quantum computing [5].”
From Observing movement of Dirac cones from single-photon dynamics (2021) · cites this paper as [5]
There are topological phases in fairly ordinary materials that occur in three dimensions and zero magnetic field.
“The current excitement in this field results from the experimental discovery that there are topological phases in fairly ordinary materials that occur in three dimensions and zero magnetic field (1, 2, 3).”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [3]
Topological insulators are fully gapped in the bulk but have gapless edge or surface states that are topologically protected by time reversal symmetry.
“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 [3]
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“[5] Moore, J.”
Background
- Authors
- Moore, J. E.
- Affiliations
- University of California, Berkeley (US)
- Corresponding author
- Moore, Joel E.
- ORCID
- Moore, Joel E.
- Venue
- Nature
- Published
- 2010-03
- Volume
- 464
- Issue
- 7286
- Pages
- 194-198
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2070931774
- Cited by
- 3,232
- References
- 10
- Citations by year
- 2026: 117 · 2025: 200 · 2024: 192 · 2023: 211 · 2022: 201 · 2021: 243 · 2020: 220 · 2019: 203 · 2018: 194 · 2017: 195 · 2016: 228 · 2015: 225 · 2014: 218 · 2013: 184 · 2012: 199
- FWCI
- 100.34
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Surface and Thin Film Phenomena
- Keywords
- topological insulators, surface states, topological effects, impurity scattering, spintronics, quantum computing, topological phases
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