Critical exponents of the three-dimensional classical plane rotator model on the sc lattice from a high temperature series analysis

TL;DR

This paper extends high temperature series expansions for the 3D XY model on a simple cubic lattice, providing improved estimates of critical parameters through detailed analysis of correlation functions.

Contribution

It introduces three additional terms in the series expansion, enhancing the accuracy of critical parameter estimates for the 3D XY model.

Findings

Extended series to order β^{17}

Provided accurate critical parameter estimates

Analyzed correlation functions for spherical moments

Abstract

High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the sc lattice are extended by three terms through order $\beta^{17}$. Tables of the expansion coefficients are reported for the correlation function spherical moments of order $l=0,1,2$. Our analysis of the series leads to fairly accurate estimates of the critical parameters.