Study of the topological Hall effect on simple models

Abstract

Recently, a chirality-driven contribution to the anomalous Hall effect has been found that is induced by the Berry phase and does not directly involve spin-orbit coupling. In this paper, we will investigate this effect numerically in a two-dimensional electron gas with a simple magnetic texture model. Both the adiabatic and non-adiabatic regimes are studied, including the effect of disorder. By studying the transition between both regimes the discussion about the correct adiabaticity criterium in the diffusive limit is clarified.

8 pages, 7 figures, revtex4

References in corpus (9)

• Spin Hall effect
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Topological Hall effect and Berry phase in magnetic nanostructures
• Chirality driven anomalous Hall effect in weak coupling regime
• Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space
• Spin Chirality Fluctuation and Anomalous Hall Effect in Itinerant Ferromagnets
• Conditions for Adiabatic Spin Transport in Disordered Systems
• Observing the Berry phase in diffusive conductors: Necessary conditions for adiabaticity
• Berry phase and adiabaticity of a spin diffusing in a non-uniform magnetic field

Cited by in corpus (16)

• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Giant Anomalous Hall Effect in the Chiral Antiferromagnet Mn3Ge
• In-plane magnetic field induced double fan spin structure with $\text{c}$-axis component in metallic kagome antiferromagnet YMn${}_6$Sn${}_6$
• Near-room-temperature giant topological Hall effect in antiferromagnetic kagome metal YMn6Sn6
• Anisotropic hysteretic Hall-effect and magnetic control of chiral domains in the chiral spin states of Pr${}_2$Ir${}_2$O${}_7$
• Phenomenological Models of Holographic Superconductors and Hall currents
• Large anisotropic topological Hall effect in a hexagonal non-collinear magnet Fe5Sn3
• Skyrmion-size dependence of the topological Hall effect: A real-space calculation
• Stable hump-like Hall effect and non-coplanar spin textures in SrRuO${}_3$ ultrathin film
• Quantum field theory of topological spin dynamics
• Spin structure and dynamics of the topological semimetal Co${}_3$Sn${}_{2-x}$In${}_x$S${}_2$
• Mesoscopic Hall effect driven by chiral spin order
• Topological spin-Hall current in waveguided zinc-blende semiconductors with Dresselhaus spin-orbit coupling
• Coherent backscattering in the topological Hall effect
• Large Spontaneous Hall Effects in Chiral Topological Magnets
• Topological Aspects of Antiferromagnets