Influence of magnon-phonon coupling on the phonon dynamics of one-dimensional antiferromagnets

摘要

The interplay between magnetic and elastic degrees of freedom, the so-called magnon-phonon coupling, plays an important role in magnetism. The Green's function technique is used to investigate the phonon dynamics for the one-dimensional antiferromagnet with S=l within the framework of an interaction Heisen-berg model. This is treated via the Holstein-Primakoff transformation in the context of the modified spin-wave theory. The obtained phonon's relaxation function provides a measure of the effect of magnon-phonon coupling on phonon energy and lifetime.