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.

arXiv comment7 pages, 6 figures

References in corpus (29)

• Berry Phase Effects on Electronic Properties
• Skyrmion Lattice in a Chiral Magnet
• Anomalous Hall effect
• Spin Hall effect
• Observation of room temperature magnetic skyrmions and their current-driven dynamics in ultrathin Co films
• Topological Hall effect in the A-phase of MnSi
• Direct electronic measurement of the spin Hall effect
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Blowing Magnetic Skyrmion Bubbles
• Kwant: a software package for quantum transport
• Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
• Skyrmions at room temperature : From magnetic thin films to magnetic multilayers
• Room temperature chiral magnetic skyrmion in ultrathin magnetic nanostructures
• Emergent electrodynamics of skyrmions in a chiral magnet
• Theory of Current-Driven Domain Wall Motion: A Poorman's Approach
• Topological Hall effect and Berry phase in magnetic nanostructures
• Field-Dependent Size and Shape of Single Magnetic Skyrmions
• Chiral skyrmions in thin magnetic films: new objects for magnetic storage technologies?
• Quantized Anomalous Hall Effects in Skyrmion Crystal
• Spin Transfer Torque for Continuously Variable Magnetization
• Pure spin currents and associated electrical voltage
• 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
• Topological Spin Hall Effect due to Magnetic Skyrmions
• Phenomenology of current-skyrmion interactions in thin films with perpendicular magnetic anisotropy
• Spin-orbit-coupling induced domain-wall resistance in diffusive ferromagnets
• Spin-orbit-coupling induced torque in ballistic domain walls: equivalence of charge-pumping and nonequilibrium magnetization formalisms
• Mesoscopic Hall effect driven by chiral spin order

Cited by in corpus (33)

• Electrical signature of individual magnetic skyrmions in multilayered systems
• Magnetic bimerons as skyrmion analogues in in-plane magnets
• Antiferromagnetic skyrmion crystals: generation, topological Hall and topological spin Hall effect
• Spin Hall effect emerging from a chiral magnetic lattice without spin-orbit coupling
• Theory of Topological Spin Hall Effect in Antiferromagnetic Skyrmion: Impact on Current-induced Motion
• Dirac Spin-Orbit Torques at the Surface of Topological Insulators
• General theory of topological Hall effect in systems with chiral spin textures
• Topological Hall signatures of magnetic hopfions
• Magnetoelectric effect and orbital magnetization in skyrmion crystals: Detection and characterization of skyrmions
• Berry phase manipulation in ultrathin SrRuO${}_3$ films
• A nontrivial crossover in topological Hall effect regimes
• The family of topological Hall effects for electrons in skyrmion crystals
• Twisted skyrmion at domain boundaries and the method of image
• Topological phase transition driven by magnetic field and topological Hall effect in an antiferromagnetic skyrmion lattice
• Tuning skyrmion Hall effect via engineering of spin-orbit interaction
• Intrinsic non-adiabatic topological torque in magnetic skyrmions and vortices
• Skyrmion quantum spin Hall effect
• Quantum Anomalous Hall Effect and Anderson Chern Insulating Regime in Noncollinear Antiferromagnetic 3Q State
• Topological orbital Hall effect caused by skyrmions and antiferromagnetic skyrmions
• Magnon Landau Levels and Spin Responses in Antiferromagnets
• Topological Hall effect in diffusive ferromagnetic thin films with spin-flip scattering
• Cooperative Charge Pumping and Enhanced Skyrmion Mobility
• Skyrmion phase in MnSi on sapphire grown by a conventional sputtering
• Topological Hall effect for electron scattering on skyrmions in external magnetic field
• Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics
• Skyrmion-driven topological Hall effect in a Shastry-Sutherland magnet
• Theory of an electron asymmetric scattering on skyrmion textures in two-dimensional systems
• Tailoring energy barriers of Bloch-point-mediated transitions between topological spin textures
• Topological charge and spin Hall effects due to skyrmions in canted antiferromagnets
• Compensated Quantum and Topological Hall Effects of Electrons in Polyatomic Stripe Lattices
• Prediction of topological Hall effect in a driven magnetic domain wall
• Skyrmion-deriven topological spin and charge Hall effects in diffusive antiferromagnetic thin films
• Magnetic Bloch-point hopping in multilayer skyrmions and associated emergent electromagnetic signatures