On the non-ergodicity of the Swendsen-Wang-Kotecký algorithm on the kagomé lattice Articles uri icon

publication date

  • May 2010

start page

  • P05016


  • 5


  • 2010

International Standard Serial Number (ISSN)

  • 1742-5468


  • 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.


  • classical monte carlo simulations; sampling algorithms; rapid mixing