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Area of Science:

  • Condensed Matter Physics
  • Spintronics
  • Materials Science

Background:

  • Current magnetization dynamics models, like the Landau-Lifshitz-Gilbert equation, are phenomenological.
  • Spin-orbit coupling causes angular momentum transfer to the lattice, resulting in damping.
  • A microscopic understanding of Gilbert damping is crucial for spintronic technologies.

Purpose of the Study:

  • To develop a microscopic theoretical framework for spin-orbit driven magnetization dynamics.
  • To derive a microscopic Kubo-Středa formula for the Gilbert damping tensor components.
  • To apply this formalism to a two-dimensional Rashba ferromagnet.

Main Methods:

  • Utilizing the Kubo-Středa formula for microscopic Gilbert damping calculation.
  • Applying the formalism to a two-dimensional Rashba ferromagnet model.
  • Analyzing the behavior of Gilbert damping in the weak disorder limit.

Main Results:

  • An exact analytical expression for the Gilbert damping parameter was derived.
  • The Gilbert damping parameter shows a linear dependence on the scattering rate.
  • The damping parameter remains constant up to room temperature in the absence of vibrational degrees of freedom.

Conclusions:

  • The developed microscopic theory provides a robust framework for understanding spin-orbit driven damping.
  • The findings are applicable to bilayers of non- and ferromagnetic metals, such as CoPt.
  • This work advances the theoretical description of magnetization dynamics for technological applications.