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MA: Fachverband Magnetismus

MA 36: Magnetization and Demagnetization Dynamics III

MA 36.12: Vortrag

Mittwoch, 9. März 2016, 18:00–18:15, H34

Relativistic theory of spin relaxation mechanisms in the Landau-Lifshitz equations of spin dynamics — •Ritwik Mondal, Marco Berritta, Pablo Maldonado, Alexandros Aperis, and Peter M. Oppeneer — Uppsala University, Uppsala, Sweden

Magnetization dynamics has been successfully applied to spin systems with phenomenological Landau-Lifshitz equations of motion [1]. Here, starting from the Dirac-Kohn-Sham equation we derive the relativistic equation of motion of angular momentum in a magnetic solid taking into account the spin-orbit coupling. This equation of motion can be rewritten in the form of the well-known Landau-Lifshitz equation plus additional relativistic terms which describe the various electronic spin relaxation mechanisms. Thus we derive a damping parameter of Gilbert type [2] (see also [3]). Further, we discuss the dynamics of the total angular momentum within the relativistic Dirac framework including exchange interactions of Heisenberg type.

¹L.D. Landau and E.M. Lifshitz, Phys. Z. Sowjetunion 8, 101 (1935). ²T.L. Gilbert, IEEE Trans. Magn. 40, 3443 (2004). ³M.C. Hickey and J.S. Moodera, Phys. Rev. Lett. 102, 137601 (2009).