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

Mohar, Bojan; Salas Martínez, Jesús

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

Author(s): Mohar, Bojan; Salas Martínez, Jesús

Publisher: IOP Publishing

Issued date: 2010-05

Citation: Mohar, B. & Salas, J. (2010). On the non-ergodicity of the Swendsen–Wang–Kotecký algorithm on the kagomé lattice. Journal of Statistical Mechanics: Theory and Experiment, 2010(05), P05016.

ISSN: 1742-5468

DOI: https://doi.org/10.1088/1742-5468/2010/05/P05016

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: The author's research was supported in part by the ARRS (Slovenia) Research Programme P1-0297, by an NSERC Discovery Grant, and by the Canada Research Chair programme (BM), by US National Science Foundation grant PHY-0424082, and by Spanish MEC grants MTM2008-03020 and FPA2009-08785 (JS).

Project: Gobierno de España. MTM2008-03020
Gobierno de España. FPA2009-08785

Keywords: Classical Monte Carlo simulations , Sampling algorithms , Rapid mixing

URI: http://hdl.handle.net/10016/33059

Abstract:

We study the properties of the Wang–Swendsen–Kotecký cluster Monte Carlo algorithm for simulating the three-state kagomé-lattice Potts antiferromagnet at zero temperature. We prove that this algorithm is not ergodic for symmetric subsets of the kagomé lattice [+]

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