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Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets

Shigeki Onoda·Naoyuki Sugimoto·Naoto Nagaosa
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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.

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Shigeki Onoda, Naoyuki Sugimoto, Naoto Nagaosa. 2006-08-10. Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets. https://doi.org/10.1103/physrevlett.97.126602

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