22nd order high-temperature expansion of nearest-neighbor models with O(2) symmetry on a simple cubic lattice

TL;DR

This paper computes a 22nd order high-temperature series expansion for a nearest-neighbor O(2) symmetric model on a cubic lattice, providing detailed data for critical phenomena analysis.

Contribution

It extends high-temperature series calculations to 22nd order for the O(2) symmetric model, including the most general single-site potential, aiding precise critical behavior studies.

Findings

Series for magnetic susceptibility and correlation length computed to 22nd order.

Specialized series analyzed to determine critical exponents.

Supports previous work on the 3D XY universality class.

Abstract

We present the high-temperature series for a nearest-neighbor model with O(2) symmetry on a simple cubic lattice with the most general single-site potential. In particular, the magnetic susceptibility and the second-moment correlation length are computed to 22nd order. The series specialized to some particular improved Hamiltonians have been already analyzed in the paper M. Campostrini, M. Hasenbusch, A. Pelissetto, and E. Vicari, Phys. Rev. B 74, 144506 (2006) [cond-mat/0605083], to determine the critical exponents and other universal quantities of the three-dimensional XY universality class.