Thin Fisher Zeroes

Dolan, Brian P. and Janke, W. and Johnston, D. A. and Stathakopoulos, M. (2001) Thin Fisher Zeroes. (Preprint)

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Abstract

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 q appears as a parameter in the Potts solution the limiting locus of chromatic zeroes is also accessible.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jun 2018 13:05
Last Modified: 17 Jul 2018 11:38
URI: http://dair.dias.ie/id/eprint/436

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