Heriot-Watt Mathematics Report Series
HWM00-30, 27 Dec 2000
Thin Fisher Zeroes
B Dolan and D Johnston
Abstract
Biskup et.al. have recently suggested that the loci of partition function
zeroes can profitably be regarded as phase boundaries in the complex temperature
or field planes. We obtain the Fisher zeroes for Ising and Potts
models on non-planar ("thin") regular random graphs using this approach,
and note that the locus of Fisher zeroes on a Bethe lattice is identical.
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Publication
, Thin Fisher Zeroes, J Phys A, , 6211-6223, (2001).
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