Dynamic Phases and Reentrant Hall Effect for Vortices and Skyrmions on Periodic Pinning Arrays

TL;DR

This paper investigates the complex dynamic phases of vortices and skyrmions on periodic pinning arrays, revealing reentrant Hall effects and phase transitions influenced by the Magnus force and commensuration conditions.

Contribution

It introduces a detailed analysis of dynamic phases, including soliton and fluid flow, and their impact on Hall effects and conductivity in vortex and skyrmion systems.

Findings

Identification of dynamic phases including interstitial and soliton flow.

Observation of reentrant Hall effect due to phase transitions.

Detection of negative differential conductivity in velocity and Hall response.

Abstract

We consider the motion of superconducting vortices and skyrmions on a square substrate near the first commensurate matching field. Slightly above commensuration, a series of dynamic phases appear including interstitial flow, and there is a transition from fluid flow to soliton flow that generates negative differential conductivity. Slightly below commensuration, vacancy depinning occurs. The dynamic phase transitions produce features in the velocity-force curves, differential mobility, and velocity fluctuations. When a Magnus force is also present, as in certain superconducting vortex or skyrmion systems, there is an expansion of the fluid state, and at lower drives there is a finite Hall angle in the fluid phase but a vanishing Hall angle in the soliton phase, giving rise to a reentrant Hall effect. We also find a regime where the Hall motion of the particles exhibits the same dynamic phases, including soliton motion at a finite angle that produces negative differential conductivity in the Hall response but not in the longitudinal response. Our results suggest that vortices driven over periodic pinning may be an ideal system for determining if a vortex Hall effect is occurring and would also be relevant for skyrmions at smaller Magnus forces.