Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic $XXZ$-chain at finite temperatures

TL;DR

This paper numerically evaluates correlation functions in the spin-1/2 XXZ Heisenberg chain at finite temperatures, providing insights into its thermodynamic properties.

Contribution

It introduces a numerical method to evaluate multiple integrals for correlation functions in the XXZ chain at finite temperatures.

Findings

Numerical values for correlation functions at various temperatures.

Validation of the integral evaluation method.

Insights into the thermodynamic behavior of the XXZ chain.

Abstract

We evaluate numerically certain multiple integrals representing nearest and next-nearest neighbor correlation functions of the spin-1/2 $XXZ$ Heisenberg infinite chain at finite temperatures.