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arXiv · cond-mat/9211006

Cluster Algorithm for Vertex Models

H. G. Evertz·G. Lana·M. Marcu
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Abstract

We present a new type of cluster algorithm that strongly reduces critical slowing down in simulations of vertex models. Since the clusters are closed paths of bonds, we call it the {\em loop algorithm}. The basic steps in constructing a cluster are the break-up and the freezing of vertices. We concentrate on the case of the F model, which is a subset of the 6-vertex model exhibiting a Kosterlitz-Thouless transition. The loop algorithm is also applicable to simulations of other vertex models and of one and two-dimensional quantum spin systems.

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H. G. Evertz, G. Lana, M. Marcu. 1992-11-16. Cluster Algorithm for Vertex Models. https://doi.org/10.1103/physrevlett.70.875

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