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A three-dimensional spin-diffusion model for micromagnetics.

Claas Abert1, Michele Ruggeri2, Florian Bruckner1

  • 1Christian Doppler Laboratory of Advanced Magnetic Sensing and Materials, Institute of Solid State Physics, Vienna University of Technology, Austria.

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Summary
This summary is machine-generated.

We numerically solved a 3D spin-diffusion model coupled to the Landau-Lifshitz-Gilbert equation. This unified approach validates and incorporates established spin-torque models, capturing nonlocal effects and spin accumulation dynamics.

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Area of Science:

  • * Computational physics and materials science.
  • * Spintronics and condensed matter physics.

Background:

  • * Existing models for spin-torque phenomena, such as Slonzewski's multi-layer model and Zhang and Li's domain-wall motion model, have limitations in fully describing complex spin dynamics.
  • * Understanding spin accumulation and nonlocal effects is crucial for advancing spintronic devices.

Purpose of the Study:

  • * To develop and validate a unified numerical model for time-dependent spin-diffusion coupled with the Landau-Lifshitz-Gilbert equation.
  • * To demonstrate the capability of this model to incorporate and reproduce the physics described by established spin-torque models.
  • * To investigate the time-dependent behavior of spin accumulation.

Main Methods:

  • * Numerical solution of a time-dependent three-dimensional spin-diffusion model.
  • * Coupling the spin-diffusion model with the Landau-Lifshitz-Gilbert equation.
  • * Validation against the Slonzewski and Zhang and Li spin-torque models.

Main Results:

  • * The developed spin-diffusion model successfully incorporates the nonlocal effects described by the Slonzewski model.
  • * The model captures spin accumulation resulting from magnetization gradients, as detailed in the Zhang and Li model.
  • * The time-dependent evolution of spin accumulation is accurately resolved.

Conclusions:

  • * The unified spin-diffusion model provides a comprehensive framework for simulating spin-torque phenomena.
  • * This approach offers a more complete description of spin dynamics, including nonlocal effects and time-dependent spin accumulation.
  • * The validated model can be used to explore and design advanced spintronic devices.