Effects of magnon-magnon interactions in a noncollinear magnet induced by combination of a symmetric and an antisymmetric exchange interaction

Abstract

We study magnon-magnon interactions and their effects in a spiral magnet induced by combination of an antiferromagnetic Heisenberg interaction and a Dzyaloshinsky-Moriya interaction. We show that the main effect of magnon-magnon interactions on low-energy magnons is to renormalize the coefficient of energy dispersion. This could explain why some experiments are consistent with the noninteracting theory. We also show that although the magnon-magnon interactions induce the pair amplitude for low-energy magnons, its effect on the excitation energy is negligible. This suggests that for magnons the finite pair amplitude does not necessarily accompany the pair condensation.

11 pages, 1 figure; published version

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Cited by in corpus (3)

• Magnon dispersion in bilayers of two-dimensional ferromagnets
• Magnon drag induced by magnon-magnon interactions characteristic of noncollinear magnets
• Interband magnon drag in ferrimagnetic insulators