Anomalous Hall Effect in Disordered Multiband Metals

Abstract

We present a microscopic theory of the anomalous Hall effect in metallic multi-band ferromagnets, which accounts for all scattering-independent contributions, i.e., both the intrinsic and the so-called side jump. For a model of Gaussian disorder, the anomalous Hall effect is expressed solely in terms of the electronic band structure of the host material. Our theory handles systematically the interband-scattering coherence effects. We demonstrate the method in the two-dimensional Rashba and three-dimensional ferromagnetic (III,Mn)V semiconductor models. Our formalism is directly amenable to ab initio treatments for a wide range of ferromagnetic metals.

5 pages, 2 figures Revised presentation, results unchanged

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• Scaling parameters in anomalous and nonlinear Hall effects depend on temperature
• Anomalous Hall effect in ferromagnets with Gaussian disorder
• Theory of orbital magnetization in disordered systems
• Breakdown of the drift-diffusion model for transverse spin transport in a disordered Pt film
• Chiral damping, chiral gyromagnetism and current-induced torques in textured one-dimensional Rashba ferromagnets
• Magneto-electric and thermo-magneto-electric effects in ferromagnetic transition-metal alloys from first-principles
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• Theory of phonon side jump contribution in Anomalous Hall transport
• First-principles evaluation of intrinsic, side-jump, and skew-scattering parts of anomalous Hall conductivities in disordered alloys
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• Semiclassical Boltzmann theory of spin Hall effects in giant Rashba systems
• Rashba torque beyond the Boltzmann regime
• Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis
• Temperature- dependence of anomalous Hall conductivity in Rashba-type ferromagnets
• Transport Coefficients of Dirac Ferromagnet: Effects of Vertex Corrections
• Crossover of spin Hall to quantum anomalous Hall effect in PbC/MnSe heterostructures