Proper Scaling of the Anomalous Hall Effect

2009/03/31 by Yuan Tian, Li Ye, Xiaofeng Jin · 559 citations
Engineering · Mathematics · Physics and Astronomy · #Condensed matter physics #Electrical resistivity and conductivity #Geometry #Hall conductivity #Hall effect #Magnetic Field Sensors Techniques #Magnetic properties of thin films #Mathematics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Residual resistivity #Scaling #Scaling law #Scattering #cond-mat.mtrl-sci #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.103.087206

published in Physical Review Letters 103(8), 087206 (American Physical Society) · 5 pages, 4 figures

arxiv created 2009/03/31 · openalex publication_date 2009/08/21 · arxiv updated 2010/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Working with epitaxial films of Fe, we succeeded in independent control of different scattering processes in the anomalous Hall effect. The result clearly exposed the fundamental flaws of the conventional scaling \ensuremathρ_AH=f(\ensuremathρ_xx) between the anomalous Hall resistivity and longitudinal resistivity. A new scaling \ensuremathρ_AH=f(\ensuremathρ_xx0,\ensuremathρ_xx) that also involves the residual resistivity has been established which helps identify the intrinsic and extrinsic mechanisms of the anomalous Hall effect.

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