Comment on ``Antiferromagnetic Potts Models''

Details Comment on ``Antiferromagnetic Potts Models'' Comment on ``Antiferromagnetic Potts Models''

1993-04-03

arxiv.org/abs/hep-lat/9304002v1

Phys.Rev.Lett.71:1778,1993

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevLett.71.1778

We show that the Wang-Swendsen-Koteck\'y 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.

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