An Effective Field Theory of Magneto-Elasticity
High Energy Physics - Theory
2022-05-11 v3 Mesoscale and Nanoscale Physics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We utilize the coset construction to derive the effective field theory of magnon-phonon interactions in (anti)-ferromagnetic and ferrimagnetic insulating materials. The action is used to calculate the equations of motion which generalize the Landau-Lifshitz and stress equations to allow for magneto-acoustic couplings to all orders in the fields at lowest order in the derivative expansion. We also include the symmetry breaking effects due to Zeeman, and Dzyaloshinsky-Moriya interactions. This effective theory is a toolbox for the study of magneto-elastic phenomena from first principles. As an example we use this theory to calculate the leading order contribution to the magnon decay width due to its the decay into phonons.
Keywords
Cite
@article{arxiv.2112.13873,
title = {An Effective Field Theory of Magneto-Elasticity},
author = {Shashin Pavaskar and Riccardo Penco and Ira Z. Rothstein},
journal= {arXiv preprint arXiv:2112.13873},
year = {2022}
}