Linear contribution to spatial dispersion in the spin-wave spectrum of ferromagnets

Abstract

The implications of magnetic symmetry on the spin-wave spectrum of ferromagnets are examined. Contrary to the usual result, the spin-wave dispersion relation is found to contain a term linear in the wave vector for a definite set of magnetic symmetries. This linear dispersion is shown to be a consequence of antisymmetric exchange. © 1973 The American Physical Society.