Dolan, Brian P. and Janke, W. and Johnston, D. A. and Stathakopoulos, M. (2001) Thin Fisher Zeroes. (Preprint)
Text
DIAS-STP-01-07.pdf Download (208kB) |
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: | 14 Dec 2022 20:40 |
URI: | https://dair.dias.ie/id/eprint/436 |
Actions (login required)
View Item |
Downloads
Downloads per month over past year