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

N.Sh. Izmailian, Onofre Rojas and S.M. de Souza

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 3, 552-562

Abstract: 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.

Keywords: Statistical physics; Ising model; Spin transformations (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:3:p:552-562

DOI: 10.1016/j.physa.2011.09.003

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