Numerical study of the 6-vertex model with domain wall boundary conditions

Details Numerical study of the 6-vertex model with domain wall boundary conditions Numerical study of the 6-vertex model with domain wall boundary conditions

2005-02-13

arxiv.org/abs/cond-mat/0502314v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

A Markov process is constructed to numerically study the phase separation in the 6-vertex model with domain wall boundary conditions. It is a random walk on the graph where vertices are states and edges are elementary moves. It converges to the Gibbs measure of the 6-vertex model. Our results show clearly that a droplet of "c" vertices is created when Boltzamnn weights are in the antisegnetoelectric region. The droplet is a diamond-like shaped curve with four cusps.

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