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Comparative study of methodologies to compute the intrinsic Gilbert damping: interrelations, validity and physical
Filipe S M Guimarães1, J René Suckert1, Jonathan Chico1
1Peter Grünberg Institut and Institute for Advanced Simulation, Forschungszentrum Jülich & JARA, 52425 Jülich, Germany.
Summary
This study unifies methods for calculating intrinsic Gilbert damping, revealing additive contributions from electronic broadening. The damping parameter diverges in bulk magnets but remains finite in monolayers.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Mechanics
Background:
- Magnetic relaxation effects are crucial for understanding magnetic excitations.
- Numerous phenomenological methods exist for calculating damping parameters.
- A unified theoretical framework is needed to compare these methods.
Purpose of the Study:
- To unify and compare established methods for calculating intrinsic Gilbert damping.
- To map connections and approximations between different damping calculation formulas.
- To evaluate the range of validity for each method.
Main Methods:
- Developed a unified theoretical framework for Gilbert damping calculations.
- Compared results from various well-established damping calculation methods.
- Utilized simulated ferromagnetic resonance spectra based on electronic structure.
Main Results:
- Most methods yield similar results for bulk Fe, Co, and Ni due to low spin-orbit interaction (SOI).
- Electronic broadening effects on damping are additive and can be isolated by comparing calculations with and without SOI.
- The Gilbert damping parameter diverges in 3D bulk magnets but remains finite in monolayers under the constant broadening approximation.
Conclusions:
- Provides a comparative perspective on Gilbert damping calculation methods.
- Establishes a foundation for future research on magnetic relaxation effects.
- Highlights differences in damping behavior between bulk materials and monolayers.
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