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

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

1994-06-17

arxiv.org/abs/cond-mat/9406077v1

Physics

Condensed Matter

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

Scientific paper

10.1143/JPSJ.63.2507

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 $\varepsilon (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.

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