Universal Low Temperature Asymptotics of the Correlation Functions of the Heisenberg Chain

TL;DR

This paper derives the universal low-temperature behavior of correlation functions in the isotropic Heisenberg chain, providing insights into its thermodynamic properties at low temperatures.

Contribution

It presents the first explicit calculation of the low-temperature asymptotics of the generating function for static correlations in the Heisenberg chain.

Findings

Derived the universal low-temperature asymptotics of the correlation generating function.

Provided analytical expressions for static correlation functions at low temperatures.

Enhanced understanding of thermodynamic behavior in quantum spin chains.

Abstract

We calculate the low temperature asymptotics of a function $\gamma$ that generates the temperature dependence of all static correlation functions of the isotropic Heisenberg chain.