Bijection between spin S=pM−12 and a cluster of M spins σ=p−12

We propose a general method by which a spin-S is decomposed into spins less than S. We have obtained the exact mapping between spin S=pM−12 and a cluster of M spins σ=p−12, where p and M are positive integers. We have discussed the possible applications of such transformations. In particular we have shown how a general d+1 dimensional spin-p−12 model with general interactions can be reduced to a d-dimensional spin-S model with S=pM−12.

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Year of publication:	2012
Authors:	Izmailian, N. Sh. ; Rojas, Onofre ; de Souza, S.M.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 391.2012, 3, p. 552-562
Publisher:	Elsevier
Subject:	Statistical physics \| Ising model \| Spin transformations

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10011064288