Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets

Details Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets

2006-05-23

arxiv.org/abs/cond-mat/0605580v2

Phys. Rev. Lett. 97, 126602 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages including 4 figures, RevTex; minor changes, to appaer in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.97.126602

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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