On brillouin zones and related constructions
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 ofBrillou...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | México |
| Institución: | Instituto Tecnológico y de Estudios Superiores de Monterrey |
| Repositorio: | Redalyc-ITESM |
| OAI Identifier: | oai:redalyc.org:57024209006 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57024209006 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas Bravais lattices Landsberg subzones reduced zone scheme |
| Sumario: | 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 ofBrillouin-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 numbertheory. |
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