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

2026/04/20 by Sena Watanabe, Yukitoshi Motome, Haruki Watanabe
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Diamond and Carbon-based Materials Research #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.7566/jpsj.95.085002

published as J. Phys. Soc. Jpn. 95, 085002 (2026) · 2 pages, 1 figure

openalex created_date 2026/07/14 · openalex publication_date 2026/07/14 · openalex updated_date 2026/07/15 · arxiv created 2026/07/31 · arxiv updated 2026/08/03

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 ξ_{2\rm nd}/L yields T_c = 1.30036(1) and ν= 0.671(6). Data collapse of both quantities confirms the three-dimensional XY universality class.

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