Abstract
We study the properties of the Wang–Swendsen–Kotecký cluster Monte Carlo algorithm forsimulating the three-state kagomé-lattice Potts antiferromagnet at zero temperature. Weprove that this algorithm is not ergodic for symmetric subsets of the kagomé lattice withfully periodic boundary conditions: given an initial configuration, not all configurations areaccessible via Monte Carlo steps. The same conclusion holds for single-site dynamics.
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