Antiferromagnetic dispersion relations and nature of magnon pressure

We derive higher-order corrections in the magnon dispersion relations for two-and three-dimensional antiferromagnets exposed to magnetic and staggered fields that are mutually aligned. Dressing the magnons is the prerequisite to separate the low-temperature representation of the pressure into a piece due to noninteracting magnons and a piece that corresponds to the magnon-magnon interaction. Both in two and three spatial dimensions, the interaction in the pressure turns out to be attractive. While concrete figures refer to the spin-2/1 square-lattice and the spin-2/1 simple cubic lattice antiferromagnet, our results are valid for arbitrary bipartite geometry.

Automated summary

In this study, higher-order corrections in the magnon dispersion relations for antiferromagnets exposed to magnetic and staggered fields aligned were derived. The interaction between magnons in the pressure was found to be attractive in both two and three spatial dimensions. The results are applicable to arbitrary bipartite geometries, although specific examples provided were for spin-2/1 square-lattice and spin-2/1 simple cubic lattice antiferromagnets.