High-Temperature Expansion of the Free Energy in the Two-Dimensional XY Model

Abstract

We extend the high-temperature series of the free energy for the XY model in two dimensions to order ${\beta }^{48}$ from the previous order of ${\beta }^{22}$ by applying the improved algorithm of the finite lattice method. The long series obtained enables us to conclude that the behavior of the free energy is consistent in high accuracy with what is expected when the phase transition of the model is of the Kosterlitz-Thouless type .

arXiv comment9 pages, 3 figures

References in corpus (1)

• Specific Heat Exponent for the 3-d Ising Model from a 24-th Order High Temperature Series

Cited by in corpus (4)

• 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
• Extended scaling behavior of the spatially-anisotropic classical XY model in the crossover from three to two dimensions
• Numerical simulation study of the dynamical behavior of the Niedermayer algorithm