Magnetocaloric effect in the spin-$1/2$ chain with competing interactions

TL;DR

This paper investigates the magnetocaloric effect in an integrable antiferromagnetic spin-1/2 chain with competing interactions, using thermodynamic solutions to analyze entropy and isentropes.

Contribution

It introduces a method to compute the Gr"uneisen parameter and thermodynamic properties for this quantum spin chain model.

Findings

Calculated the Gr"uneisen parameter for the model.

Mapped entropy and isentropes in the magnetic field-temperature plane.

Provided insights into the magnetocaloric effect in quantum spin chains.

Abstract

We study the magnetocaloric effect for the integrable antiferromagnetic Heisenberg spin chain with competing interactions. We computed the Gr\"uneisen parameter, which is closely related to the magnetocaloric effect, for the quantum spin chain in the thermodynamical limit. This is obtained by means of the solution of a set of non-linear integral equations, which describes the thermodynamics of the model. We also provide results for the entropy $S$ and the isentropes in the $(H,T)$ plane.