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Spin-Orbit Coupling in Band Theory—Character Tables for Some "Double" Space Groups
Abstract
To take account of the electron spin in band theory, a method is outlined which allows us to construct character tables for the double space groups of the simple, face-centered, and body-centered cubic, diamond, and hexagonal close packed lattices. The effects of time reversal are also considered. Particular attention is given to the splitting of otherwise degenerate bands by the spin-orbit coupling.
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“In order to not form a gap, it is essential that crossing bands belong to different irreducible representations of the double group (Elliott, 1954) along a line of symmetry.”
From Weyl and Dirac semimetals in three-dimensional solids (2018) · cites this paper as Elliott, 1954
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Research works printed but not linked: 12
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Cited by
Sorted by citations
Weyl and Dirac semimetals in three-dimensional solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.015001 · Cited by 4,528
“In order to not form a gap, it is essential that crossing bands belong to different irreducible representations of the double group (Elliott, 1954) along a line of symmetry.”
BackgroundSlonczewski, J. C., & Weiss, P. R. (1958) · Physical Review · doi:10.1103/physrev.109.272 · Cited by 1,647
Weyl and Dirac Semimetals in Three Dimensional Solids
Armitage, N. P., Mele, E. J., & Vishwanath, A. (2017) · arXiv
“In order to not form a gap, it is essential that crossing bands belong to different irreducible representations of the double group (Elliott, 1954) along a line of symmetry.”
Background
Metadata
- Authors
- Elliott, R. J.
- Affiliations
- University of California, Berkeley (US)
- Corresponding author
- Elliott, R. J.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1954-10-15
- Volume
- 96
- Issue
- 2
- Pages
- 280-287
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2054318394
- Cited by
- 285
- References
- 0
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 3 · 2023: 7 · 2022: 8 · 2021: 5 · 2020: 3 · 2019: 1 · 2018: 6 · 2017: 23 · 2016: 4 · 2015: 2 · 2014: 2 · 2012: 5
- FWCI
- 5.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review (publishedVersion)
- 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 › Physics of Superconductivity and Magnetism
- Keywords
- spin-orbit coupling, band theory, character tables, crystal symmetry, time reversal, band splitting, band degeneracy, simple cubic lattice, face-centered cubic lattice, body-centered cubic lattice, diamond lattice, hexagonal close-packed structure
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