A library of extended high-temperature expansions of basic observables for the spin S Ising models on two- and three-dimensional lattices

TL;DR

This paper provides an extensive online library of high-temperature series expansions for basic observables in spin S Ising models across various lattices, extending previous data to higher orders and spins.

Contribution

It introduces a comprehensive, extended database of high-temperature series for multiple observables in spin S Ising models on 2D and 3D lattices, covering higher orders and spins than prior work.

Findings

Series extended up to order beta^{25} for key observables.

Includes new data for higher spins and lattices.

Provides a valuable resource for theoretical and computational studies.

Abstract

We present an on-line library of unprecedented extension for high-temperature expansions of basic observables in the Ising models of general spin S, with nearest-neighbor interactions. We have tabulated through order beta^{25} the series for the nearest-neighbor correlation function, the susceptibility and the second correlation moment in two dimensions on the square lattice, and, in three dimensions, on the simple-cubic and the body-centered cubic lattices. The expansion of the second field derivative of the susceptibility is also tabulated through beta^{23} for the same lattices. We have thus added several terms (from four up to thirteen) to the series already published for spin S=1/2,1,3/2,2,5/2,3,7/2,4,5,infinity.