The anomalous Hall conductivity due to the vector spin chirality

Abstract

We study theoretically the anomalous Hall effect due to the vector spin chirality carried by the local spins in the $s$-$d$ model. We will show that the vector spin chirality indeed induces local Hall effect in the presence of the electron spin polarization, while the global Hall effect vanishes if electron transport is homogeneous. This anomalous Hall effect can be interpreted in terms of the rotational component of the spin current associated with the vector chirality.

12 pages, 5 figures

References in corpus (9)

• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Spin current and magneto-electric effect in non-collinear magnets
• Ferroelectricity in spiral magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Microscopic approach to current-driven domain wall dynamics
• Anomalous Hall Effect and Skyrmion Number in Real- and Momentum-space
• Chirality induced anomalous-Hall effect in helical spin crystals
• Charge and Spin Currents Generated by Dynamical Spins
• The chiral Anomalous Hall effect in re-entrant AuFe alloys

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• Skyrmions and Anomalous Hall Effect in a Dzyloshinskii-Moriya Spiral Magnet
• Multiple-Q Instability by (d-2)-dimensional Connections of Fermi Surfaces
• Theory of giant skew scattering by spin cluster
• Magnetic structure of the conductive triangular-lattice antiferromagnet PdCrO2
• Engineering chiral density waves and topological band structures by multiple-$Q$ superpositions of collinear up-up-down-down orders
• Anomalous Hall Effect and Spin Fluctuations in Ionic Liquid Gated SrCoO${}_3$ Thin Films
• Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets
• Impurity-induced vector spin chirality and anomalous Hall effect in ferromagnetic metals
• Anomalous Josephson Hall effect in magnet/triplet superconductor junctions
• Chiral helimagnetic state in a Kondo lattice model with the Dzyaloshinskii-Moriya interaction
• Charge pumping due to triplet vector chirality in ferromagnet/triplet superconductor junctions
• Topological spin Hall effect in antiferromagnets driven by vector Néel chirality