Spin Dynamics with Inertia in Metallic Ferromagnets

Abstract

Non-adiabatic contribution of environmental degrees of freedom yields effective inertia of spin in effective spin dynamics. In this paper, we study several aspects of the inertia of spin in metallic ferromagnets. (i) a concrete expression of the spin inertia $m_s$: $m_s=\hslash S_c/(2g_{\mathrm{sd}})$, where $S_c$ is the spin polarization of conduction electrons and $g_{\mathrm{sd}}$ is the $sd$ coupling constant. (ii) dynamical behavior of spin with inertia, discussed from viewpoints of a spinning top and of a particle on a sphere. (iii) behavior of spin waves and domain walls in the presence of inertia, and behavior of spin with inertia in the case of a time-dependent magnetic field.

31 pages, 7 figures; v2. references, contents and discussion added

References in corpus (11)

• Spin Transfer Torques
• Microscopic approach to current-driven domain wall dynamics
• Staggered Dynamics in Antiferromagnets by Collective Coordinates
• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Effects of mechanical rotation on spin currents
• Functional Keldysh Theory of Spin Torques
• Landau Level Quantization on the Sphere
• Calculation of current-induced torque from spin continuity equation
• Detection of spin reversal and nutations through current measurements
• Subnanosecond switching of local spin-exchange coupled to ferromagnets
• Coupling theory of emergent spin electromagnetic field and electromagnetic field

Cited by in corpus (34)

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• Magnetization Dynamics of Nanoscale Magnetic Materials: A Perspective
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• Time-retarded damping and magnetic inertia in the Landau-Lifshitz-Gilbert equation self-consistently coupled to electronic time-dependent nonequilibrium Green functions
• Inertial spin dynamics in epitaxial cobalt films
• Skyrmion Qubits: Challenges For Future Quantum Computing Applications
• Nutation Resonance in Ferromagnets
• Nutation in antiferromagnetic resonance
• Anatomy of inertial magnons in ferromagnets
• Inertial effects in ultrafast spin dynamics
• Inertial spin waves in ferromagnets and antiferromagnets
• Magnetization nutation induced by surface effects in nanomagnets
• Spin pumping at terahertz nutation resonances
• Inertia effects in the real-time dynamics of a quantum spin coupled to a Fermi sea
• An observable effect of spin inertia in slow magneto-dynamics: Increase of the switching error rates in nanoscale ferromagnets
• Magnetic nutation: transient separation of magnetization from its angular momentum
• Electron Induced Massive Dynamics of Magnetic Domain Walls
• Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole
• Bath-induced spin inertia
• Inertial spin waves in spin spirals
• Micromagnetic study of inertial spin waves in ferromagnetic nanodots
• Emergent Non-Abelian Gauge Theory in Coupled Spin-Electron Dynamics
• Theory of tensorial magnetic inertia in terahertz spin dynamics
• Dynamically generated spin-interactions and nutational spin inertia in normal metal-ferromagnet heterostructures
• Inertial dynamics and equilibrium correlation functions of magnetization at short times
• Magnetization Dynamics in Holographic Ferromagnets: Landau-Lifshitz Equation from Yang-Mills Fields
• Nonreciprocal inertial spin-wave dynamics in twisted magnetic nanostrips
• Transition state theory characterizes thin film macrospin dynamics driven by an oscillatory magnetic field: Inertial effects
• Engineering spin-wave spectrum via the magnetization inertia tensor
• Exchange tensors, generalized RKKY interactions, and magnetization dynamics in heterostructures of ferromagnets and topological insulators
• Domain wall motion in a diffusive weak ferromagnet
• Chirality and polarization of inertial antiferromagnetic resonances driven by spin-orbit torques
• Using surface plasmons to detect spin inertia
• Optically induced magnetic inertia and magnons from non-Markovian extension of the Landau-Lifshitz-Gilbert equation