- May 2010
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- We study the properties of the Wang-Swendse&-Kotecký cluster Monte Carlo algorithm for simulating the 3-state kagomé-lattice Potts antiferromagnet at zerotemperature. We prove that this algorithm is not ergodic for symmetric subsets of the kagomé lattice with fully periodic boundary conditions: given an initial configuration, not all configurations are accessible via Monte Carlo steps. The same conclusion holds for single-site dynamics.