Scattering on magnetic skyrmion in the non-adiabatic approximation

Abstract

We present a theory of electron scattring on a magnetic skyrmion for the case when exchange interaction is moderate so that adiabatic approximation and Berry phase approach is not applicable. The theory explains the appearance of a topological Hall current in the systems with magnetic skyrmions, of a special importance its applicability to dilute magnetic semiconductors with a weak exchange interaction.

arXiv comment4 pages, 2 figures

References in corpus (15)

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Cited by in corpus (26)

• Anomalous electrical magnetochiral effect by chiral spin fluctuation
• Topological spin Hall effect in antiferromagnetic skyrmions
• General theory of topological Hall effect in systems with chiral spin textures
• Theory of giant skew scattering by spin cluster
• Colossal topological Hall effect at the transition between isolated and lattice-phase interfacial skyrmions
• Giant proximity exchange and flat Chern band in 2D magnet-semiconductor heterostructures
• A nontrivial crossover in topological Hall effect regimes
• Transverse Transport in Two-Dimensional Relativistic Systems with Non-Trivial Spin Textures
• Skyrmion-size dependence of the topological Hall effect: A real-space calculation
• Topological Hall effect from strong to weak coupling
• Weak coupling theory of topological Hall effect
• Tuning skyrmion Hall effect via engineering of spin-orbit interaction
• Impurity-induced vector spin chirality and anomalous Hall effect in ferromagnetic metals
• Anomalous Exciton Hall Effect
• Resonant optical topological Hall conductivity from skyrmions
• Topological Hall effect for electron scattering on skyrmions in external magnetic field
• Interface-driven unusual anomalous Hall effect in MnxGa/Pt bilayers: No correlation with chiral spin structures
• Hall effect driven by non-collinear magnetic polarons in diluted magnetic semiconductors
• Coherent backscattering in the topological Hall effect
• Theory of an electron asymmetric scattering on skyrmion textures in two-dimensional systems
• Weak Localization in Systems with Chiral Spin Textures and Skyrmion Crystals
• Topological spin Hall effect in antiferromagnets driven by vector Néel chirality
• Topological charge and spin Hall effects due to skyrmions in canted antiferromagnets
• Diode effect in the lateral spin valve
• Skyrmion-deriven topological spin and charge Hall effects in diffusive antiferromagnetic thin films
• Formal Integration of Electron Scattering Processes via Separation of Dynamical and Geometric Contributions