Three-Dimensional Topological Insulators on the Pyrochlore Lattice
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Electrons hopping on the sites of a three-dimensional pyrochlore lattice are shown to form topologically nontrivial insulating phases when the spin-orbit (SO) coupling and lattice distortions are present. Of 16 possible topological classes 9 are realized for various parameters in this model. Specifically, at half-filling an undistorted pyrochlore lattice with a SO term yields a "pristine" strong topological insulator with a Z(2) index (1;000). At quarter filling various strong and weak topological phases are obtained provided that both SO coupling and uniaxial lattice distortion are present. Our analysis suggests that many of the nonmagnetic insulating pyrochlores could be topological insulators.
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A pyrochlore lattice model is an exception where the extra terms beyond the Berry phase do not vanish.
“an exception is a pyrochlore lattice model (81).”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [81]
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Quantum Spin Hall Insulator State in HgTe Quantum Wells
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Superconducting 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 · see citing works
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Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
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<i>Colloquium</i> : Topological insulators
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- Authors
- Guo, H.-M., & Franz, M.
- Affiliations
- University of British Columbia (CA)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-11-13
- Volume
- 103
- Issue
- 20
- Pages
- 206805-206805
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2091467944
- Cited by
- 153
- References
- 7
- Citations by year
- 2026: 6 · 2025: 14 · 2024: 16 · 2023: 9 · 2022: 8 · 2021: 7 · 2020: 7 · 2019: 3 · 2018: 3 · 2017: 4 · 2016: 9 · 2015: 7 · 2014: 10 · 2013: 14 · 2012: 13
- FWCI
- 6.68
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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 › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- topological insulators, pyrochlore lattice, spin-orbit coupling, lattice distortion, strong topological insulator, weak topological insulator, Z2 index, topological phases, nonmagnetic insulator, three-dimensional lattice model
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