On brillouin zones and related constructions

Authors

  • M.G. Jurado-Taracena

Keywords:

Bravais lattices, Landsberg subzones, reduced zone scheme

Abstract

In this paper we discuss the physical and geometrical content of the various equivalent definitions that have been given so far in the literature of a crystal's Brillouin zones. This serves as a motivation to introduce a computationally and conceptually simpler definition. Calculation of Brillouin-zone related properties in two-dimensional lattices is carried out as an illustration of the versatility of this new approach, particularly a count of the number of Landsberg subzones in these Bravais lattices is given, which could be of interest for theoretical physics and number theory.

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Published

2011-01-01

How to Cite

[1]
M. Jurado-Taracena, “On brillouin zones and related constructions”, Rev. Mex. Fis. E, vol. 57, no. 1 Jan-Jun, pp. 32–37, Jan. 2011.

Issue

Vol. 57 No. 1 Jan-Jun (2011): Revista Mexicana de Física E

Section

Artículos

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