T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology
Statistical Mechanics
2009-10-31 v1 High Energy Physics - Lattice
Combinatorics
Abstract
We present exact calculations of the zero-temperature partition function of the -state Potts antiferromagnet (equivalently the chromatic polynomial) for Moebius strips, with width or 3, of regular lattices and homeomorphic expansions thereof. These are compared with the corresponding partition functions for strip graphs with (untwisted) periodic longitudinal boundary conditions.
Cite
@article{arxiv.cond-mat/9908323,
title = {T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology},
author = {Robert Shrock},
journal= {arXiv preprint arXiv:cond-mat/9908323},
year = {2009}
}
Comments
9 pages, Latex, Phys. Lett. A, in press