Repositorio UFRO · Omeka S

±J Ising model on mixed Archimedean lattices: (33,42), (32,4,3,4), (3,122), (4,6,12)

Primer Autor	Valdes, J. F.
Co-autores	Lebrecht, W.
Título	±J Ising model on mixed Archimedean lattices: (33,42), (32,4,3,4), (3,122), (4,6,12)
Editorial	ELSEVIER SCIENCE BV
Revista	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Lenguaje	en
Resumen	This paper addresses the problem of finding analytical expressions describing the ground state properties of mixed Archimedean lattices over which a generalized Edwards-Anderson model (+/- J Ising model) is defined. A local frustration analysis is performed based on representative cells for (3(3), 4(2)), (3(2), 4, 3, 4), (3, 12(2)) and (4, 6, 12) lattices, following the notation proposed by Grtinbaum and Shephard. The concentration of ferromagnetic (F) bonds x is used as the independent variable in the analysis (1 - x is the concentration for antiferromagnetic (A) bonds), where x spans the range [0.00, 1.00]. The presence of A bonds brings frustration, whose clear manifestation is when bonds around the minimum possible circuit of bonds (plaquette) cannot be simultaneously satisfied. The distribution of curved (frustrated) plaquettes within the representative cell is determinant for the evaluation of the parameters of interest such as average frustration segment, energy per bond, and fractional content of unfrustrated bonds. Two methods are developed to cope with this analysis: one based on the direct probability of a plaquette being curved; the other one is based on the consideration of the different ways bonds contribute to the particular plaquette configuration. Exact numerical simulations on a large number of randomly generated samples associated to (3(3), 4(2)) and (3(2), 4, 3, 4) lattices allow to validate the previously described theoretical analysis. It is found that the first method presents slight advantages over the second one. However, both methods give an excellent description for most of the range for x. The small deviations at specific intervals of x for each lattice are relevant to the self-imposed limitations of both methods due to practical reasons. A particular discussion for the point x = 0.50 for each one of the four lattices also sheds light on the general trends of the properties described here. (C) 2013 Elsevier B.V. All rights reserved.
Tipo de Recurso	Artículo original
Description	The authors acknowledge partial support from Direccion de Investigacion de la Universidad de La Frontera (DIUFRO), Chile, under contract DI 13-0102. The authors acknowledge partial support from Direccion de Investigacion de la Universidad de La Frontera (DIUFRO), Chile, under contract DI 13-0102.
doi	10.1016/j.physa.2013.05.053
Formato Recurso	pdf
Palabras Claves	Edwards-Anderson model Lattice theory Spin-glass SPIN-GLASSES FRUSTRATION Modelo de Edwards-Anderson Teoría de la red Vidrio de espín GAFAS DE GIRO FRUSTRACIÓN
Ubicación del archivo	http://dx.doi.org/10.1016/j.physa.2013.05.053
Materias	Edwards-Anderson model Lattice theory Spin-glass SPIN-GLASSES FRUSTRATION Modelo de Edwards-Anderson Teoría de la red Vidrio de espín GAFAS DE GIRO FRUSTRACIÓN
Disciplinas de la OCDE	Física de la Materia Condensada Física de Partículas y Campos Matemáticas Aplicadas
Título de la cita (Recomendado-único)	±J Ising model on mixed Archimedean lattices: (33,42), (32,4,3,4), (3,122), (4,6,12)
Revista/Libro	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Tipo de ruta	hibrida verde
Access Rights	metadata
Derechos de acceso	metadata
Idioma	en
Identificador del recurso (Mandatado-único)	Artículo original
Versión del recurso (Recomendado-único)	versión publicada
Entidad financiadora	UFRO DI 13-0102
Referencia del Financiador (Mandatado si es aplicable-repetible)	UFRO DI 13-0102
Editorial	ELSEVIER SCIENCE BV
ISSN	0378-4371
Página de inicio (Recomendado-único)	4549
Página final (Recomendado-único)	4570
Categoría WOS	Física multidisciplinaria Physics, Multidisciplinary
Formato	pdf
Id de Web of Science	WOS:000322750200036