An Upper Bound for the Spin-Wave Spectrum of the Heisenberg Antiferromagnet

Abstract

We study the spin-wave spectrum of the Heisenberg antiferromagnet on a bipartite lattice. The spin-wave spectrum on a N\'eel-ordered ground state is bounded as (k) c |k| , where c gives an upper bound for the spin-wave velocity. In the large-S limit, the upper bound c coincides with the result of the spin-wave theory.

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