Thin Fisher Zeroes

Details Thin Fisher Zeroes Thin Fisher Zeroes

2001-05-16

arxiv.org/abs/cond-mat/0105317v1

J. Phys. A34 (2001) 6211-6223

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures

Scientific paper

10.1088/0305-4470/34/32/301

Biskup et al. [Phys. Rev. Lett. 84 (2000) 4794] 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 to the corresponding random graph. Since the number of states appears as a parameter in the Potts solution the limiting locus of chromatic zeroes is also accessible.

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