Percolation of interacting classical dimers on the square lattice

Yang Li, Dayan Wu, Xianshan Huang and Chengxiang Ding

Physica A: Statistical Mechanics and its Applications, 2014, vol. 404, issue C, 285-290

Abstract: We study the percolation properties of the interacting classical dimer model on the square lattice by means of Monte Carlo simulations and finite-size scaling analysis. We define Ising clusters based on the dimer configuration; the percolation point of the clusters coincides with the critical point of the Kosterlitz–Thouless transition of the dimer model, which is Tc=0.654(2). Furthermore, we find that the largest cluster at the Kosterlitz–Thouless point is a fractal, with fractal dimension Dc=1.874(2), which coincides with the critical exponent describing the critical behavior of the dimer–dimer correlation function, which is theoretically predicted to be 15/8.

Keywords: Dimer model; Kosterlitz–Thouless transition; Percolation model; Fractal (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:404:y:2014:i:c:p:285-290

DOI: 10.1016/j.physa.2014.02.076

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