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Chaotic magnetization dynamics in magnetic Duffing oscillator.
Ryo Tatsumi1, Takahiro Chiba1,2,3, Takashi Komine4
1Tohoku University, Department of Applied Physics, Graduate School of Engineering, Sendai, Miyagi 980-8579, Japan.
Physical Review. E
|August 1, 2025
Summary
We introduce a magnetic Duffing oscillator with a double-well potential. Applying an external magnetic field induces chaos in spintronic systems, offering control over magnetization dynamics.
Area of Science:
- Nonlinear Dynamics
- Spintronics
- Magnetization Dynamics
Background:
- The Duffing oscillator is a classic model in nonlinear dynamics.
- Ferromagnets with uniaxial magnetic anisotropy exhibit double-well potentials.
- Understanding chaotic behavior in magnetic systems is crucial for spintronics.
Purpose of the Study:
- To propose and analyze a magnetic analogy of the Duffing oscillator.
- To investigate the generation of chaotic magnetization dynamics in ferromagnets.
- To explore the control of chaos using external magnetic fields.
Main Methods:
- Linear stability analysis of the Landau-Lifshitz-Gilbert equation.
- Investigating the magnetic potential under an external magnetic field.
- Evaluating the Lyapunov exponent to identify chaotic behavior.
- Analyzing Oersted fields and spin-orbit torques in ferromagnet/heavy-metal bilayers.
Main Results:
- An external magnetic field creates anharmonicity, leading to homoclinic orbits.
- The magnetic Duffing oscillator exhibits chaotic behavior under oscillating external forces.
- External magnetic fields can control homoclinic orbits and the parameter range for chaos.
- Spintronic systems can be engineered to display controlled chaotic magnetization dynamics.
Conclusions:
- This work establishes a magnetic Duffing oscillator model.
- It demonstrates the potential for controlling chaotic magnetization dynamics in spintronic devices.
- The findings bridge nonlinear dynamics and spintronics, advancing the understanding of complex magnetic phenomena.
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