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Integration over the Two-Dimensional Brillouin Zone

✍ Scribed by S. I. Kurganskii; O. I. Dubrovskii; E. P. Domashevskaya

Publisher: John Wiley and Sons
Year: 1985
Tongue: English
Weight: 368 KB
Volume: 129
Category: Article
ISSN: 0370-1972
DOI: 10.1002/pssb.2221290129

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✦ Synopsis

Abstract

A new method is proposed for the calculation of integrals over the two‐dimensional Brillouin zone (BZ) such as the density of states. The BZ is subdivided into triangles, in which quadratic interpolation over six points for the integrands in wave vector is used, and further subdivision of the BZ into smaller triangles appears to be possible. In each of the “small” triangles obtained the integrals are taken in analytical form on the supposition of linear dependence of integrands on wave vector. Tests of the calculation of the free electron density of states shows quite a high efficiency of the hybrid triangle method.

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