Topological Hall and Spin Hall Effects in Disordered Skyrmionic Textures

Abstract

We carry out a throughout study of the topological Hall and topological spin Hall effects in disordered skyrmionic systems: the dimensionless (spin) Hall angles are evaluated across the energy band structure in the multiprobe Landauer-Büttiker formalism and their link to the effective magnetic field emerging from the real space topology of the spin texture is highlighted. We discuss these results for an optimal skyrmion size and for various sizes of the sample and found that the adiabatic approximation still holds for large skyrmions as well as for few atomic size-nanoskyrmions. Finally, we test the robustness of the topological signals against disorder strength and show that topological Hall effect is highly sensitive to momentum scattering.

7 pages, 6 figures

References in corpus (7)

• Direct electronic measurement of the spin Hall effect
• Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
• Mesoscopic Spin Hall Effect in Multiprobe Ballistic Spin-Orbit Coupled Semiconductor Bridges
• Discretized Topological Hall Effect Emerging from Skyrmions in Constricted Geometry
• Spin Pumping of Current in Non-Uniform Conducting Magnets
• Spin-orbit-coupling induced domain-wall resistance in diffusive ferromagnets
• Mesoscopic Hall effect driven by chiral spin order

Cited by in corpus (4)

• Antiferromagnetic skyrmion crystals: generation, topological Hall and topological spin Hall effect
• Intrinsic non-adiabatic topological torque in magnetic skyrmions and vortices
• Prediction of topological Hall effect in a driven magnetic domain wall
• Magnetic Bloch-point hopping in multilayer skyrmions and associated emergent electromagnetic signatures