High-Temperature series for the $RP^{n-1}$ lattice spin model (generalized Maier-Saupe model of nematic liquid crystals) in two space dimensions and with general spin dimensionality n

TL;DR

This paper computes high-temperature series expansions for the RP^{n-1} lattice spin model in two dimensions, providing detailed coefficients for key physical quantities across various spin dimensionalities.

Contribution

It presents the first high-order series expansions for the RP^{n-1} model on the square lattice for general n, extending understanding of these models in statistical physics.

Findings

Series expansions computed up to order beta^8.

Coefficients for energy, susceptibility, and correlation functions provided.

Results applicable to a range of spin dimensionalities n.

Abstract

High temperature series expansions of the spin-spin correlation functions of the RP^{n-1} spin model on the square lattice are computed through order beta^{8} for general spin dimensionality n. Tables are reported for the expansion coefficients of the energy per site, the susceptibility and the second correlation moment.