Acoustic Phonon Wave Attenuation in One‐Dimensional Antiferromagnet: Effects of DM Interaction on Magnon‐Phonon Coupling Factor

The study of one‐dimensional (1D) multiferroic spin chain systems exhibiting magnetoelectric coupling continues to be a primary emphasis in condensed matter physics. The interplay between magnetic and elastic degrees of freedom, the so‐called magnon‐phonon coupling, plays an important role in magnetism, with the ability to transport quantum information over long distances. Using the Green’s function technique, we investigate the phonon dynamics for a 1D frustrated Heisenberg antiferromagnetic (AFM) spin‐1 where the cycloidal spin state is the ground state in the highly frustrated parameter region. Following the Holstein–Primakoff transformation in the context of the modified spin‐wave approximation (MSWA), the phonon’s relaxation function provides a measure of the acoustic phonon energy and the linewidth. We show that the inclusion of the Dzyaloshinskii–Moriya (DM) interaction consolidates the spin states by attenuating the phonon’s relaxation factor (acoustic phonon energy) and enhances magnetic effects (magnon energy) and the linewidth, both essential to exotic quantum transport phenomena like topological magnonic effects, spintronic technology, quantum information storage, spin‐caloritronics, et cetera.