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

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/S2) are also computed for the square lattice. The results agree very well with the predictions of Neuberger and Ziman and Fisher.

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