Abstract
We present sets of special points in the Brillouin zone from which the average over the Brillouin zone of a periodic function of wave vector (e.g., energy, charge density, dipole matrix elements, etc.) can be determined in a simple and accurate way once the values of the function at these points are specified. We discuss a method for generating the special-point sets and apply it to the case of crystals with cubic and hexagonal Bravais lattices.
Keywords
Brillouin zoneBravais latticePhysicsDipolePoint (geometry)Simple (philosophy)Wave vectorHexagonal crystal systemMatrix (chemical analysis)Function (biology)Condensed matter physicsQuantum mechanicsMaterials scienceMathematicsGeometryCrystal structureChemistry
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Publication Info
- Year
- 1973
- Type
- article
- Volume
- 8
- Issue
- 12
- Pages
- 5747-5753
- Citations
- 2018
- Access
- Closed
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Cite This
D. J. Chadi,
Marvin L. Cohen
(1973).
Special Points in the Brillouin Zone.
Physical review. B, Solid state
, 8
(12)
, 5747-5753.
https://doi.org/10.1103/physrevb.8.5747
Identifiers
- DOI
- 10.1103/physrevb.8.5747