The exact susceptibility of the spin-S transverse Ising chain with next-nearest-neighbor interactions

TL;DR

This paper provides an exact calculation of the zero-field susceptibility for the spin-S transverse Ising chain with next-nearest-neighbor interactions, revealing spin-independent low-temperature behavior and divergence at the transition point.

Contribution

It offers an exact analytical expression for susceptibility in this model, including for general spin S, and analyzes its behavior at low temperatures and near phase transitions.

Findings

Susceptibility is explicitly calculated for S=1/2.

Low-temperature susceptibility is independent of spin S.

Susceptibility diverges at the phase transition point.

Abstract

The zero-field susceptibility of the spin-S transverse Ising chain with next-nearest-neighbor interactions is obtained exactly. The susceptibility is given in an explicit form for S=1/2, and expressed in terms of the eigenvectors of the transfer matrix for general spin S. It is found that the low-temperature limit is independent of spin S, and is divergent at the transition point.