SKM 2023 – wissenschaftliches Programm

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MA: Fachverband Magnetismus

MA 20: Spintronics (other effects)

MA 20.9: Vortrag

Dienstag, 28. März 2023, 17:15–17:30, HSZ 401

Fractional Landau-Lifshitz-Gilbert equation — Robin C. Verstraten¹, •Tim Ludwig¹, Rembert A. Duine^1,2, and Cristiane Morais Smith¹ — ¹Institute for Theoretical Physics, Utrecht University, Princetonplein 5, 3584CC Utrecht, The Netherlands — ²Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Gaining a deeper understanding of magnetization or spin dynamics is of great interest to improve modern technological devices. In particular, a deeper understanding of dissipation could help to improve device efficiency. Magnetization dynamics is often described by the Landau-Lifshitz-Gilbert equation with phenomenological Gilbert damping. Using the Caldeira-Leggett approach, we can re-derive Gilbert damping for a specific type of environment (Ohmic) but, in general, we find fractional Gilbert damping. Fractional Gilbert damping is similar to Gilbert damping but the time derivative is replaced by a fractional time derivative. Finally, we discuss experimental consequences of fractional Gilbert damping with a focus on ferromagnetic resonance experiments.