T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology

Details T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology T=0 Partition Functions for Potts Antiferromagnets on Moebius Strips and Effects of Graph Topology

1999-08-24

arxiv.org/abs/cond-mat/9908323v1

Phys.Lett. A261 (1999) 57

Physics

Condensed Matter

Statistical Mechanics

9 pages, Latex, Phys. Lett. A, in press

Scientific paper

10.1016/S0375-9601(99)00611-8

We present exact calculations of the zero-temperature partition function of the $q$-state Potts antiferromagnet (equivalently the chromatic polynomial) for Moebius strips, with width $L_y=2$ 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.

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