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arXiv · 2604.17939

Monte Carlo Study of the Phase Transition of the $XY$ Model on a Diamond Lattice

Sena Watanabe·Yukitoshi Motome·Haruki Watanabe
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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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Sena Watanabe, Yukitoshi Motome, Haruki Watanabe. 2026-04-20. Monte Carlo Study of the Phase Transition of the $XY$ Model on a Diamond Lattice. https://doi.org/10.7566/jpsj.95.085002

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