High-temperature expansions through order 24 for the two-dimensional classical XY model on the square lattice

Abstract

The high-temperature expansion of the spin-spin correlation function of the two-dimensional classical XY (planar rotator) model on the square lattice is extended by three terms, from order 21 through order 24, and analyzed to improve the estimates of the critical parameters.

7 pages, 2 figures

References in corpus (6)

• The two dimensional XY model at the transition temperature: A high precision Monte Carlo study
• A strong-coupling analysis of two-dimensional O(N) sigma models with N<=2 on square, triangular and honeycomb lattices
• Perturbative renormalization group, exact results and high temperature series to order 21 for the N-vector spin models on the square lattice
• A quantitative study of the Kosterlitz-Thouless phase transition in a system of two-dimensional plane rotators ( XY model ) by high temperature expansions through ${\beta }^{20}$
• High temperature study of the Kosterlitz-Thouless phase transition in the XY model on the triangular lattice
• Does the XY Model have an integrable continuum limit?

Cited by in corpus (5)

• Tensor renormalization group study of classical XY model on the square lattice
• High-temperature expansion of the magnetic susceptibility and higher moments of the correlation function for the two-dimensional XY model
• A study of the (m,d,N)=(1,3,2) Lifshitz point and of the three- dimensional XY universality class by high-temperature bivariate series for the XY models with anisotropic competing interactions
• Extended scaling behavior of the spatially-anisotropic classical XY model in the crossover from three to two dimensions
• Casimir effect in critical $\mathrm{O}(N)$ models from non-equilibrium Monte Carlo simulations