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Special Points in the Brillouin Zone

Physical review. B, Solid state · 1973 · Vol. 8(12) · pp. 5747–5753

D. J. Chadi✉(Centre National de la Recherche Scientifique)Marvin L. Cohen(Sorbonne Université)

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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.

Photorefractive and Nonlinear Optics Photonic Crystals and Applications Photonic and Optical DevicesBrillouin zoneBravais latticePhysicsDipolePoint (geometry)Simple (philosophy)Wave vectorHexagonal crystal systemMatrix (chemical analysis)Function (biology)

Citations

2,026

FWCI

8.25

field-weighted impact

References

3

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99%

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References

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