A nontrivial crossover in topological Hall effect regimes
arXiv:1702.04985 · doi:10.1038/s41598-017-16538-4
Abstract
We propose a new theory of the topological Hall effect (THE) in systems with chiral magnetization vortices such as magnetic skyrmions. We solve the problem of electron scattering on a magnetic skyrmion exactly, for an arbitrary strength of exchange interaction and the skyrmion size. We report the existence of different regimes of THE and resolve the apparent contradiction between the adiabatic Berry phase theoretical approach and the perturbation theory for THE. We traced how the topological charge Hall effect transforms into the spin Hall effect upon varying the exchange interaction strength or the skyrmion size. This transformation has a nontrivial character: it is accompanied by an oscillating behavior of both charge and spin Hall currents. This hallmark of THE allows one to differentiate the chirality driven contribution to Hall response in the experiments.
13 pages, 10 figures
References in corpus (11)
- Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
- Discovery of Magnetic Antiskyrmions Beyond Room Temperature in Tetragonal Heusler Materials
- Skyrmion-skyrmion and skyrmion-edge repulsions in skyrmion-based racetrack memory
- A reversible conversion between a skyrmion and a domain-wall pair in junction geometry
- Semiclassical theories of the anomalous Hall effect
- Robust formation of skyrmions and topological Hall effect in epitaxial thin films of MnSi
- Discretized Topological Hall Effect Emerging from Skyrmions in Constricted Geometry
- Spin torque and force due to current for general spin textures
- Controllable chirality-induced geometrical Hall effect in a frustrated highly-correlated metal
- Topological Hall and Spin Hall Effects in Disordered Skyrmionic Textures
- Mesoscopic Hall effect driven by chiral spin order
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