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Comment on ``Antiferromagnetic Potts Models''

Lubin, M; Sokal, AD; (1993) Comment on ``Antiferromagnetic Potts Models''. Phys.Rev.Lett. , 71 (11) 1778 -1778. 10.1103/PhysRevLett.71.1778. Green open access

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Abstract

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.

Type: Article
Title: Comment on ``Antiferromagnetic Potts Models''
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.71.1778
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.71.1778
Language: English
Additional information: © 1993 The American Physical Society
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1323424
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