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Cited by 285Topological Materials and PhenomenaAdvanced Condensed Matter PhysicsPhysics of Superconductivity and Magnetism

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Spin-Orbit Coupling in Band Theory—Character Tables for Some "Double" Space Groups

Elliott, R. J.·1954·Physical Review
DOI 10.1103/physrev.96.280
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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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Crossref · 10.1103/physrev.96.280

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Research works printed but not linked: 12

  1. Bouckaert, 1936, Phys. Rev., 50, 58, 10.1103/PhysRev.50.58 · DOI
  2. C. Herring, 1942, J. Franklin Inst., 233, 525, 10.1016/S0016-0032(42)90462-9 · DOI
  3. Portis, 1953, Phys. Rev., 90, 988, 10.1103/PhysRev.90.988 · DOI
  4. R. J. Elliott, 1954, Phys. Rev., 95, 266, 10.1103/PhysRev.96.266 · DOI
  5. H. A. Bethe, 1929, Ann. Physik, 3, 133, 10.1002/andp.19293950202 · DOI
  6. W. Opechowski, 1940, Physica, 7, 552, 10.1016/S0031-8914(40)90045-3 · DOI
  7. E. Wigner, 1932, Göttingen Nachr., 546
  8. C. Herring, 1937, Phys. Rev., 52, 361, 10.1103/PhysRev.52.361 · DOI
  9. F. Seitz, 1936, Ann. Math., 37, 17, 10.2307/1968683 · DOI
  10. B. L. van der Waerden, 1932, Die Gruppentheoretische Methode in der Quantenmechanik, 10.1007/978-3-662-02187-3 · DOI
  11. A. Speiser, 1927, Theorie der Gruppen von endlicher Ordnung, 10.1007/978-3-642-90855-2 · DOI
  12. G. Frobenius, 1906, S. B. Pruss. Akad. Wiss., 186

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.”
    Background

  • Band Structure of Graphite

    Slonczewski, 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

See all 285

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)
DOI
10.1103/physrev.96.280
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
Licence
link.aps.org/licenses/aps-default-license (vor)
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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CoChat. (2026). Citation check: Spin-Orbit Coupling in Band Theory—Character Tables for Some "Double" Space Groups. https://app.cochat.ai/papers/10.1103/physrev.96.280
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Elliott, R. J. (1954). Spin-Orbit Coupling in Band Theory—Character Tables for Some "Double" Space Groups. Physical Review. https://doi.org/10.1103/physrev.96.280