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Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.ORCID iD: 0000-0002-9069-2631
2018 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 98, no 21, article id 214429Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2018. Vol. 98, no 21, article id 214429
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-372922DOI: 10.1103/PhysRevB.98.214429ISI: 000453458900004OAI: oai:DiVA.org:uu-372922DiVA, id: diva2:1277458
Funder
Swedish Research CouncilKnut and Alice Wallenberg Foundation, 2015.0060EU, Horizon 2020, 737709Available from: 2019-01-10 Created: 2019-01-10 Last updated: 2019-01-10Bibliographically approved

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Mondal, RitwikBerritta, MarcoOppeneer, Peter M.

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