Emergent electric fields driven by phonon-coupled skyrmion resonances

TL;DR

This paper presents a theoretical framework for understanding how phonon-induced skyrmion lattice dynamics generate emergent electric fields, revealing conditions for rectified and oscillating fields without skyrmion translation.

Contribution

It introduces a coarse-grained model linking skyrmion parameters to macroscopic electric fields, unifying phonon-driven spin-charge-lattice coupling in topological magnets.

Findings

Identifies symmetry and dynamical conditions for dc and ac electric fields.

Connects skyrmion profile parameters to electrodynamic response.

Provides a unified framework for phonon-driven skyrmion electrodynamics.

Abstract

We develop a coarse-grained theoretical description of the macroscopic emergent electric field generated by phonon-coupled lattice deformations in the breathing and rotational dynamics of a skyrmion lattice under microwave excitation. The analysis identifies the symmetry and dynamical conditions that yield rectified (dc) and oscillating (ac) electric fields, even in the absence of net translational motion of the skyrmion lattice, particularly in the dilute-lattice limit. Using experimentally measurable skyrmion profile parameters such as the equilibrium radius, domain-wall width, and dynamical resonance frequency of skyrmion lattice, the model further enables identification of harmonic components contributing to the observed macroscopic electrodynamic response in the long-wavelength phonon limit ($q \to 0$) and at finite phonon frequency, providing a unified framework for phonon-driven spin-charge-lattice coupling in topological magnets.