Complex-Temperature Partition Function Zeros of the Potts Model on the Honeycomb and Kagom\'e Lattices
Statistical Mechanics
2009-10-30 v1 High Energy Physics - Lattice
Abstract
We calculate complex-temperature (CT) zeros of the partition function for the -state Potts model on the honeycomb and kagom\'e lattices for several values of . These give information on the CT phase diagrams. A comparison of results obtained for different boundary conditions and a discussion of some CT singularities are given. Among other results, our findings show that the Potts antiferromagnet with and on the kagom\'e lattice has no phase transition at either finite or zero temperature.
Keywords
Cite
@article{arxiv.cond-mat/9711058,
title = {Complex-Temperature Partition Function Zeros of the Potts Model on the Honeycomb and Kagom\'e Lattices},
author = {Heiko Feldmann and Robert Shrock and Shan-Ho Tsai},
journal= {arXiv preprint arXiv:cond-mat/9711058},
year = {2009}
}
Comments
28 pages, Revtex, 18 encapsulated postscript figures, Phys. Rev. E, in press