Dynamic transition and Galilean relativity of current-driven skyrmions

Abstract

The coupling of conduction electrons and magnetic textures leads to quantum transport phenomena described by the language of emergent electromagnetic fields [1-3]. For magnetic skyrmions, spin-swirling particle-like objects, an emergent magnetic field is produced by their topological winding [4-6], resulting in the conduction electrons exhibiting the topological Hall effect (THE) [7]. When the skyrmion lattice (SkL) acquires a drift velocity under conduction electron flow, an emergent electric field is also generated [8,9]. The resulting emergent electrodynamics dictate the magnitude of the THE via the relative motion of SkL and conduction electrons. Here, we report the emergent electrodynamics induced by SkL motion in Gd${}_2$PdSi${}_3$, facilitated by its giant THE [10,11]. With increasing current excitation, we observe the dynamic transition of the SkL motion from the pinned to creep regime and finally to the flow regime, where the THE is totally suppressed. We argue that the Galilean relativity required for the total cancellation of the THE can be generically recovered in the flow regime, even in complex multiband systems such as the present compound. Moreover, the observed THE voltages are large enough to enable real-time measurement of the SkL velocity-current profile, which reveals the inertial-like motion of the SkL in the creep regime, appearing as current-hysteretic behavior of the skyrmion velocity.

References in corpus (11)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
• Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
• Theory of current-driven motion of Skyrmions and spirals in helical magnets
• Creep and flow regimes of magnetic domain wall motion in ultrathin Pt/Co/Pt films with perpendicular anisotropy
• Nanometric square skyrmion lattice in a centrosymmetric tetragonal magnet
• Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
• Inertia, diffusion and dynamics of a driven skyrmion
• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• High-field depinned phase and planar Hall effect in skyrmion-host Gd${}_2$PdSi${}_3$
• Electronic structure and nesting-driven enhancement of the RKKY interaction at the magnetic ordering propagation vector in Gd2PdSi3 and Tb2PdSi3

Cited by in corpus (7)

• Current-induced sliding motion in a helimagnet MnAu${}_2$
• Phase shifts, band geometry and responses in triple-Q charge and spin density waves
• Triangular lattice magnet GdGa${}_2$ with short-period spin cycloids and possible skyrmion phases
• Emergent electric field induced by dissipative sliding dynamics of domain walls in a Weyl magnet
• Voltage-controlled topological spin textures in the monolayer limit
• Enhanced Curie temperature and room-temperature 50-nm skyrmions achieved in hexagonal ferromagnet Mn5Ge3+x synthesized via a high-pressure method
• AC Current-Driven Magnetization Switching and Nonlinear Hall Rectification in a Magnetic Topological Insulator