Monte Carlo simulations determine Tc = 1.30036(1) and ν = 0.671(6) for the XY model on the diamond lattice, with data collapse confirming the 3D XY universality class.
Monte Carlo Study of the Phase Transition of the $XY$ Model on a Diamond Lattice
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abstract
We study the phase transition of the classical $XY$ model on a diamond lattice by Monte Carlo simulations using the Wolff cluster algorithm. Finite-size scaling (FSS) analysis of the Binder cumulant and the second-moment correlation length ratio $\xi_{2\rm nd}/L$ yields $T_c = 1.30036(1)$ and $\nu = 0.671(6)$. Data collapse of both quantities confirms the three-dimensional $XY$ universality class.
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Monte Carlo Study of the Phase Transition of the $XY$ Model on a Diamond Lattice
Monte Carlo simulations determine Tc = 1.30036(1) and ν = 0.671(6) for the XY model on the diamond lattice, with data collapse confirming the 3D XY universality class.