Proper Scaling of the Anomalous Hall Effect

Abstract

Working with epitaxial films of Fe, we succeeded in independent control of different scattering processes in the anomalous Hall effect. The result appropriately accounted for the role of phonons, thereby clearly exposing the fundamental flaws of the standard plot of the anomalous Hall resistivity versus longitudinal resistivity. A new scaling has been thus established that allows an unambiguous identification of the intrinsic Berry curvature mechanism as well as the extrinsic skew scattering and side-jump mechanisms of the anomalous Hall effect.

5 pages, 4 figures

References in corpus (13)

• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Anomalous Hall effect in ferromagnetic semiconductors
• Universal Scaling Behavior of Anomalous Hall Effect and Anomalous Nernst Effect in Itinerant Ferromagnets
• Berry Phase Theory of Anomalous Hall Effect: Application to Colossal Magnetoresistance Manganites
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Semiclassical theories of the anomalous Hall effect
• Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation
• Mott Relation for Anomalous Hall and Nernst effects in Ga1-xMnxAs Ferromagnetic Semiconductors
• Linear magnetization dependence of the intrinsic anomalous Hall effect
• Dissipationless Anomalous Hall Current in the Ferromagnetic Spinel CuCr${}_2$Se${}_{4-x}$Br${}_x$
• Magneto-transport and magneto-optical properties of ferromagnetic (III,Mn)V semicondcutors: a review

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