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Percolation of interacting classical dimers on the square lattice

Author

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  • Li, Yang
  • Wu, Dayan
  • Huang, Xianshan
  • Ding, Chengxiang

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.

Suggested Citation

  • Li, Yang & Wu, Dayan & Huang, Xianshan & Ding, Chengxiang, 2014. "Percolation of interacting classical dimers on the square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 285-290.
    • Handle: RePEc:eee:phsmap:v:404:y:2014:i:c:p:285-290
    DOI: 10.1016/j.physa.2014.02.076
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