Percolation in a three-dimensional nonsymmetric multicolor loop model.

Ganguly, Soumya Kanti; Mukherjee, Sumanta; Dasgupta, Chandan · Phys Rev E · 2024

basic_science · Level V

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Abstract

We conduct Monte Carlo simulations to analyze the percolation transition of a nonsymmetric loop model on a regular three-dimensional lattice. We calculate the critical exponents for the percolation transition of this model. The percolation transition occurs at a temperature that is close to, but not exactly, the thermal critical temperature. Our finite-size study on this model yields a correlation length exponent that agrees with that of the three-dimensional XY model with an error margin of 6%.