New extended high temperature series for the N-vector spin models on three-dimensional bipartite lattices

TL;DR

This paper extends high temperature series expansions for the N-vector model on sc and bcc lattices up to order 19, providing revised critical parameters for N=2,3,4, enhancing understanding of phase transitions in these models.

Contribution

It introduces extended high temperature series for the N-vector model on three-dimensional bipartite lattices, improving critical parameter estimates.

Findings

Extended series up to order 19 for susceptibility and correlation moments.

Revised critical parameters for N=2,3,4.

Enhanced accuracy in phase transition analysis.

Abstract

High temperature expansions for the susceptibility and the second correlation moment of the classical N-vector model (O(N) symmetric Heisenberg model) on the sc and the bcc lattices are extended to order $\beta^{19}$ for arbitrary N. For N= 2,3,4.. we present revised estimates of the critical parameters from the newly computed coefficients.