Gilbert damping in the real-space KKR method for metallic nanostructures*

The ab-initio determination of Gilbert damping parameters is an important issue for accurate atomistic spin dynamics and micromagnetic calculations. Going beyond presently available methods of calculating the Gilbert damping scalar parameter in bulk materials, we implemented the torque-torque correlation formula [1] into the fully relativistic real-space Korringa-Kohn-Rostoker (KKR) method [2] using the Budapest SKKR code to be able to treat chemically inhomogeneous systems. This enables the ab-initio determination of spatially resolved on-site and non-local Gilbert damping tensors [3] in atomic nanostructures. After performing extensive tests for metallic bulk materials to identify the relevant parameter settings of the calculations, we show some examples of inhomogeneous Gilbert damping results in various metallic atomic (nano-)structures.

[1] Ebert et al. Phys. Rev. Lett. 107, 066603 (2011).

[2] Lazarovits et al. Phys. Rev. B 65, 104441 (2002).

[3] Thonig et al. Phys. Rev. Mater. 2, 013801 (2019).