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Special points for Brillouin-zone integrations

Physical review. B, Solid state · 1977 · Vol. 16(4) · pp. 1746–1747
D. J. Chadi

Abstract

The efficiency of two different methods for obtaining "special" points useful for Brillouin-zone integrations of periodic functions is compared. We find that for some Bravais lattices (such as body-centered cubic and hexagonal), the method suggested by Monkhorst and Pack leads to different and sometimes less efficient point sets than those previously obtained by Chadi and Cohen. For a two-dimensional oblique lattice, special points twice as efficient as those suggested by Cunningham are given.

Nonlinear Optical Materials StudiesPhotorefractive and Nonlinear OpticsAdvanced Chemical Physics StudiesBravais latticeBrillouin zoneHexagonal crystal systemLattice (music)Point (geometry)Oblique casePhysicsHexagonal latticeCondensed matter physicsMathematical analysis
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References
Special points for Brillouin-zone integrations
Physical review. B, Solid state · 1976 · 68,828 citations
Special Points in the Brillouin Zone
Physical review. B, Solid state · 1973 · 2,026 citations
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Special points for Brillouin-zone integrations
Physical review. B, Solid state · 1977 · 1,417 citations
Special Points in the Brillouin Zone
Physical review. B, Solid state · 1973 · 2,026 citations
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