English

Critical analysis of two-dimensional classical XY model

High Energy Physics - Lattice 2020-08-07 v2 Statistical Mechanics High Energy Physics - Theory

Abstract

We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization group and precisely determine the critical temperature corresponding to the Berezinskii-Kosterlitz-Thouless (BKT) phase transition to be 0.89290(5) which is an improvement compared to earlier studies using tensor network methods.

Keywords

Cite

@article{arxiv.2004.06314,
  title  = {Critical analysis of two-dimensional classical XY model},
  author = {Raghav G. Jha},
  journal= {arXiv preprint arXiv:2004.06314},
  year   = {2020}
}

Comments

v2: Minor changes with no change in final result. Accepted for publication in Journal of Statistical Mechanics. v1: 14 pages, 5 figures, and a table

R2 v1 2026-06-23T14:50:18.709Z