A Potts/Ising correspondence on thin graphs
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Publication:4947663
DOI10.1088/0305-4470/32/27/304zbMATH Open0938.82020arXivcond-mat/9901142OpenAlexW2059739078MaRDI QIDQ4947663
Author name not available (Why is that?)
Publication date: 25 April 2000
Published in: (Search for Journal in Brave)
Abstract: We note that it is possible to construct a bond vertex model that displays q-state Potts criticality on an ensemble of phi3 random graphs of arbitrary topology, which we denote as ``thin random graphs in contrast to the fat graphs of the planar diagram expansion. Since the four vertex model in question also serves to describe the critical behaviour of the Ising model in field, the formulation reveals an isomorphism between the Potts and Ising models on thin random graphs. On planar graphs a similar correspondence is present only for q=1, the value associated with percolation.
Full work available at URL: https://arxiv.org/abs/cond-mat/9901142
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