2006/05/31 by Shigeki Onoda, Naoyuki Sugimoto, Naoto Nagaosa · 2 citations
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.97.126602
published as Phys. Rev. Lett. 97, 126602 (2006) · 5 pages including 4 figures, RevTex; minor changes, to appaer in Phys. Rev. Lett
arxiv created 2006/08/10 · arxiv updated 2009/12/01
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.