Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets

Abstract

A unified theory of the anomalous Hall effect (AHE) is presented for multi-band ferromagnetic metallic systems with dilute impurities. In the clean limit, the AHE is mostly due to the extrinsic skew-scattering. When the Fermi level is located around anti-crossing of band dispersions split by spin-orbit interaction, the intrinsic AHE to be calculated ab initio is resonantly enhanced by its non-perturbative nature, revealing the extrinsic-to-intrinsic crossover which occurs when the relaxation rate is comparable to the spin-orbit interaction energy.

5 pages including 4 figures, RevTex; minor changes, to appaer in Phys. Rev. Lett

References in corpus (3)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction
• Theory of Non-Equilibirum States Driven by Constant Electromagnetic Fields: Non-Commutative Quantum Mechanics in the Keldysh Formalism

Cited by in corpus (18)

• Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
• Universal Scaling Behavior of Anomalous Hall Effect and Anomalous Nernst Effect in Itinerant Ferromagnets
• Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets
• Semiclassical theories of the anomalous Hall effect
• Mott Relation for Anomalous Hall and Nernst effects in Ga1-xMnxAs Ferromagnetic Semiconductors
• A hidden constant in the anomalous Hall effect of a high-purity magnet MnSi
• The anomalous Hall Effect and magnetoresistance in the layered ferromagnet Fe_{1/4}TaS_2: the inelastic regime
• Anomalous Hall effect in a two-dimensional electron gas
• Enhanced spin Hall effect by resonant skew scattering in orbital-selective Kondo effect
• Intrinsic anomalous Hall effect in ferromagnetic metals studied by the multi d-orbital tight-binding model
• Optical Control of Topological Quantum Transport in Semiconductors
• Transport theory for disordered multiple-band systems: Anomalous Hall effect and anisotropic magnetoresistance
• Anomalous Hall Effect in Magnetite: Universal Scaling Relation Between Hall and Longitudinal Conductivity in Low-Conductivity Ferromagnets
• Role of charge carriers for ferromagnetism in cobalt-doped rutile TiO2
• Anomalous Hall effect in a two dimensional electron gas with magnetic impurities
• Theoretical Evidence for the Berry-Phase Mechanism of Anomalous Hall Transport: First-principles Studies on CuCr${}_2$Se${}_{4-x}$Br${}_x$
• Hybrid skew scattering regime of the anomalous Hall effect in Rashba systems: unifying Keldysh, Boltzmann, and Kubo formalisms
• Chiral two-dimensional electron gas in a periodic magnetic field