Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques
Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques
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Physical Review B ; 98 (2018), 21. - 214429. - ISSN 2469-9950. - eISSN 2469-9969
Zusammenfassung
Spin torques play a crucial role in operative properties of modern spintronic devices. To study current-driven magnetization dynamics, spin-torque terms providing the action of spin-polarized currents have previously often been added in a phenomenological way to the Landau-Lifshitz-Gilbert equation describing the local spin dynamics, yet without derivation from fundamental principles. Here, starting from the Dirac-Kohn-Sham theory and incorporating nonlocal spin transport we rigorously derive the various spin-torque terms that appear in current-driven magnetization dynamics. In particular we obtain an extended magnetization dynamics equation that precisely contains the nonrelativistic adiabatic and relativistic nonadiabatic spin-transfer torques of the Berger and Zhang-Li forms as well as relativistic spin-orbit torques. We derive in addition a previously unnoticed relativistic spin-torque term and moreover show that the various obtained spin-torque terms do not appear in the same mathematical form in both the Landau-Lifshitz and Landau-Lifshitz-Gilbert equations of spin dynamics.
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MONDAL, Ritwik, Marco BERRITTA, Peter M. OPPENEER, 2018. Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques. In: Physical Review B. 98(21), 214429. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.98.214429BibTex
@article{Mondal2018Unifi-46180, year={2018}, doi={10.1103/PhysRevB.98.214429}, title={Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques}, number={21}, volume={98}, issn={2469-9950}, journal={Physical Review B}, author={Mondal, Ritwik and Berritta, Marco and Oppeneer, Peter M.}, note={Article Number: 214429} }
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