UCL Discovery

## 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.

## 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 Comment on Antiferromagnetic Potts Models'' An open access version is available from UCL Discovery 10.1103/PhysRevLett.71.1778 http://dx.doi.org/10.1103/PhysRevLett.71.1778 English © 1993 The American Physical Society UCLUCL > Provost and Vice Provost OfficesUCL > Provost and Vice Provost Offices > UCL BEAMSUCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical SciencesUCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics https://discovery.ucl.ac.uk/id/eprint/1323424