Phonon-Driven Emergent Electrodynamics in Skyrmion Resonances
Seno Aji

Department of Physics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok 16424, Indonesia.

Abstract

We present a coarse-grained theoretical framework to describe the macroscopic emergent electric field generated by phonon-coupled lattice deformations in the breathing and rotational dynamics of a skyrmion lattice under microwave excitation. Our analysis identifies the symmetry and dynamical conditions required to produce rectified dc and oscillating ac electric fields, even in the absence of net translational motion of the skyrmion lattice. In particular, we show that in the dilute-lattice limit, phonon-induced deformations can generate a finite macroscopic electrodynamic response through specific harmonic components of the skyrmion distortion. By expressing the response in terms of experimentally accessible parameters, including the equilibrium skyrmion radius, domain-wall width, and resonance frequency, the model provides a practical route to identify the deformation modes contributing to the observed emergent electric field. The theory further clarifies the long-wavelength phonon limit as well as the finite-frequency regime, providing a unified description of phonon-driven spin-charge-lattice coupling in topological magnets.

Keywords: Skyrmion lattice- Emergent electrodynamics- Phonon coupling- Skyrmion resonance- Topological magnets

Topic: Theory, Nuclear, and Particle Physics