Spin-Wave Theory and Finite-Size Scaling for the Heisenberg Antiferromagnet

TL;DR

This paper applies spin-wave perturbation theory to the Heisenberg antiferromagnet at zero temperature, calculating finite-size corrections and key physical quantities, with results aligning well with existing theoretical predictions.

Contribution

It introduces detailed finite-size scaling calculations for the Heisenberg antiferromagnet, including corrections to energy and magnetization up to order 1/S^2.

Findings

Finite-lattice corrections to ground state energy and magnetization computed.

Dispersion relation and spin-wave velocity determined to order O(1/S^2).

Results agree with prior theoretical predictions by Neuberger, Ziman, and Fisher.

Abstract

Spin-wave perturbation theory for the Heisenberg antiferromagnet at zero temperature is used to compute the finite-lattice corrections to the ground state energy, the staggered magnetization and the energy gap. The dispersion relation, the spin-wave velocity and the bulk ground state energy to order $O(1/S^2)$ are also computed for the square lattice. The results agree very well with the predictions of Neuberger and Ziman and Fisher.