Rotationally invariant formulation of spin-lattice coupling in multi-scale modeling

Abstract

In the spirit of multi-scale modeling, we develop a theoretical framework for spin-lattice coupling that connects, on the one hand, to ab initio calculations of spin-lattice coupling parameters and, on the other hand, to the magneto-elastic continuum theory. The derived Hamiltonian describes a closed system of spin and lattice degrees of freedom and explicitly conserves the total momentum, angular momentum and energy. Using a new numerical implementation that corrects earlier Suzuki-Trotter decompositions we perform simulations on the basis of the resulting equations of motion to investigate the combined magnetic and mechanical motion of a ferromagnetic nanoparticle, thereby validating our developed method. In addition to the ferromagnetic resonance mode of the spin system we find another low-frequency mechanical response and a rotation of the particle according to the Einstein-de-Haas effect. The framework developed herein will enable the use of multi-scale modeling for investigating and understanding a broad range of magneto-mechanical phenomena from slow to ultrafast time scales.

References in corpus (21)

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• Temperature dependent magnetic properties of FePt: effective spin Hamiltonian model
• The Ultrafast Einstein-De Haas Effect
• Polarized phonons carry the missing angular momentum in femtosecond demagnetization
• Nonreciprocal surface acoustic wave propagation via magneto-rotation coupling
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• Spin-lattice couplings in two-dimensional CrI${}_3$ from first-principles study
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• Magnetomechanical coupling and ferromagnetic resonance in magnetic nanoparticles
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• Magnetic nanoparticle traveling in external magnetic field
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Cited by in corpus (7)

• Ultrafast Demagnetization through Femtosecond Generation of Non-thermal Magnons
• Heat-conserving three-temperature model for ultrafast demagnetization of 3d ferromagnets
• A feasibility analysis towards the simulation of hysteresis with spin-lattice dynamics
• Spin-lattice couplings in $3d$ ferromagnets: analysis from first-principles
• Electronic mechanism of sub-100-fs demagnetization induced by a femtosecond light pulse
• Chiral Phonons Arising From Chirality-Selective Magnon-Phonon Coupling
• D-Wave Phonon Angular Momentum Texture in Altermagnets by Magnon-Phonon Hybridization