On the Non-Ergodicity of the Swendsen-Wang-Kotecký Algorithm on the Kagome Lattice
Articles
Overview
published in
publication date
- May 2010
start page
- 5016
issue
- 5
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 1742-5468
abstract
- 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.