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 Néel-ordered ground state is bounded as $\epsilon (k)\le c|k|$, 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.

7 pages, LaTeX, to appear in J. Phys. Soc. Jpn

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