Exact solution for the one–dimensional third–neighbour Ising model
J. Pablo Martínez–Garcilazo*, R. Márquez–Islas, and C. Ramírez–Romero
Facultad de Ciencias Físico Matemáticas, Universidad Autónoma de Puebla, Ave. San Claudio y 18 sur, 72570 Puebla, Pue., México, e–mail:*chagordin@hotmail.com, http://www.fcfm.buap.mx
Recibido el 7 de mayo de 2008
Aceptado el 27 de marzo de 2009
Abstract
Following the transfer matrix approach, we compute the exact solution for the one–dimensional Ising model with interactions up to third neighbours. We write the result in a compact form, and we show that it coincides with earlier numerical computations.
Keywords: Ising model; exact solutions; distant neighbors.
Resumen
Utilizando el formalismo de la matriz de transferencia, se determina la solución exacta para el modelo de Ising unidimensional con interacción a terceros vecinos. Es obtenida una expresión para el resultado en forma compacta y mostramos que coincide con resultados numéricos anteriores.
Descriptores: Modelo de Ising; solución exacta; vecinos distantes.
PACS: 05.20.–y,05.70.–a,05.50.+q
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Acknowledgments
This work was partially supported by the grants 378521E of CONACyT and II 11 G02 of VIEP–BUAP.
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