Comment on ``Antiferromagnetic Potts Models''

Abstract

We show that the Wang-Swendsen-Kotecký algorithm for antiferromagnetic $q$-state Potts models is nonergodic at zero temperature for $q=3$ on periodic $3m\times 3n$ lattices where $m,n$ are relatively prime. For $q\ge 4$ and/or other lattice sizes or boundary conditions, the ergodicity at zero temperature is an open question.

Comments: 3 pages, 10774 bytes Latex, NYU-TH-93/04/01