Berlin 2012 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 10: Focus Session "Topological Transport in Systems with broken Time Inversion Symmetry", Organization: Stefan Blügel (FZ Jülich)

MA 10.1: Hauptvortrag

Montag, 26. März 2012, 15:00–15:30, H 1012

Theory of the anomalous Hall effect: from the metallic fully ab-initio studies to the insulating hopping systems — •Jairo Sinova — Department of Physics, Texas A&M University, College Station, Texas 77843-4242, USA

A consistent description of spin-dependent Hall transport in the spin-orbit coupled systems has been a challenge for many decades. The theory of the anomalous Hall effect (AHE) and its non-magnetic counterparts involves a description of transport in multi-band system with inter-band coherent. It is only over the past couple of years that a clear theoretical picture has emerged recently. Within the metallic regime these pictures are robust and there is now an full formulation of the scattering-independent contributions in the metallic regime which is amenable to ab-initio studies [1]. We report on first-principles calculations of the side-jump contribution to the anomalous Hall conductivity directly from the electronic structure of a perfect crystal. We implemented our approach in elemental bcc Fe, hcp Co, fcc Ni, and L10 FePd and FePt alloys and are able to capture systematically the experimental observations [2]. On a different part of the phase diagram of AHE transport, we have developed a full theory of the AHE in the hopping regime [3]. The theory fully captures the observed anomalous scaling behavior in different insulating ferromagnetic thin films, completing the understanding of the AHE phase diagram.

[1] A. A. Kovalev, et al, Phys. Rev. Lett. 105, 036601 (2010). [2] Juergen Weischenberg, et al, Phys. Rev. Lett. 107, 106601 (2011). [3] Xiong-Jun Liu, et al, Phys. Rev. B 84, 165304 (2011).