On the behavior of a Heisenberg antiferromagnet at very low temperatures

TL;DR

This paper provides an analytical expression for the ratio of the physical to simulated correlation length in a 2D Heisenberg antiferromagnet, confirming previous numerical results and enhancing understanding of low-temperature magnetic behavior.

Contribution

It introduces an analytical calculation of the correlation length ratio in a 2D Heisenberg antiferromagnet, aligning with prior numerical findings.

Findings

The ratio of physical to simulated correlation length is close to one.

Analytical results agree with previous 1/N expansion numerical data.

Provides insight into low-temperature behavior of 2D antiferromagnets.

Abstract

We present an analytical result for the ratio of the physical correlation length in a 2D Heisenberg antiferromagnet on a square lattice, and the one which is actually computed in numerical simulations. This last correlation length is deduced from the second moment of the structure factor at the antiferromagnetic momentum Q. We show that the ratio is very close to one in agreement with previously obtained numerical result of the 1/N expansion.