Abstract

The wave vector and frequency dependent transverse magnetic susceptibility is evaluated at long wavelengths, low frequencies, and low temperatures for a rigid band model describing the commensurate phase of chromium alloys. The results, including the value of the spin wave velocity, are found to be independent of alloy concentration in the stable commensurate phase. The magnetization density is separated into intraband and interband parts, the former giving rise to a spin wave pole in the susceptibility of intensity proportional to ωq (the spin wave energy) in the neighborhood of nuclear Bragg reflections, and the latter giving rise to a spin wave pole of intensity proportional to ωq−1 in the neighborhood of magnetic superlattice reflections. The introduction of an appropriate notation renders the results identical to those for a Heisenberg antiferromagnet. Some results for a metastable commensurate phase are also given.

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