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Fat and Thin Fisher Zeroes

We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar (``fat'') phi4 random graphs and their dual quadrangulations by matching up the real part of the high- and low-temperature branches of the expression for the free energy. Similar methods work for the mean-field model on generic, ``thin'' graphs. Series expansions are very easy to obtain for such random graph Ising models.

preprint2001arXivOpen access
W. JankeD. JohnstonM. Stathakopoulos
hep-lat
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Open access3 authors1 topic
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W. JankeD. JohnstonM. Stathakopoulos

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