Anomalous Hall conductivity: local orbitals approach

Abstract

A theory of the anomalous Hall conductivity based on the properties of single site orbitals is presented. Effect of the finite electron life time is modeled by energy fluctuations of atomic-like orbitals. Transition from the ideal Bloch system for which the conductivity is determined by the Berry phase curvatures to the case of strong disorder for which the conductivity becomes dependent on the relaxation time is analyzed. Presented tight-binding model gives by the unified way experimentally observed qualitative features of the anomalous conductivity in the so called good metal regime and that called as bad metal or hopping regime.

8 pages, 3 figures

References in corpus (8)

• Anomalous Hall effect
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Berry phase effect in anomalous thermoelectric transport
• Universal Scaling Behavior of Anomalous Hall Effect and Anomalous Nernst Effect in Itinerant Ferromagnets
• Anomalous Hall effect in 2D Dirac band: link between Kubo-Streda formula and semiclassical Boltzmann equation approach
• Giant Intrinsic Spin and Orbital Hall Effects in Sr2MO4 (M=Ru,Rh,Mo)
• Intrinsic anomalous Hall effect in ferromagnetic metals studied by the multi d-orbital tight-binding model
• Electron polarizability of crystalline solids in quantizing magnetic fields and topological gap numbers

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• Scaling of the anomalous Hall effect in SrRuO${}_3$
• A new decomposition of the Kubo-Bastin formula
• Longitudinal and anomalous Hall conductivity of a general two-band model
• Boltzmann approach to spin-orbit-induced transport in effective quantum theories
• Anomalous Hall conductivity and quantum friction
• Electrical Conductivity in Quantum Materials