Dynamics of Einstein - de Haas Effect: Application to Magnetic Cantilever

Abstract

Local time-dependent theory of Einstein - de Haas effect is developed. We begin with microscopicinteractions and derive dynamical equations that couple elastic deformations with internal twists due to spins. The theory is applied to the description of the motion of a magnetic cantilever caused by the oscillation of the domain wall. Theoretical results are compared with a recent experiment on Einstein - de Haas effect in a microcantilever.

7 PR pages, 5 figures, submitted to PRB

References in corpus (5)

• Quantum Measurement of a Coupled Nanomechanical Resonator -- Cooper-Pair Box System
• Universal mechanism of spin relaxation in solids
• Phonon superradiance and phonon laser effect in nanomagnets
• Nano-mechanical magnetization reversal
• Field Dependence of the Electron Spin Relaxation in Quantum Dots

Cited by in corpus (28)

• The Ultrafast Einstein-De Haas Effect
• Angular momentum in spin-phonon processes
• Damping of magnetization dynamics by phonon pumping
• Spin-dependent inertial force and spin current in accelerating systems
• Quantum Spin Stabilized Magnetic Levitation
• Angular Momentum Conservation and Phonon Spin in Magnetic Insulators
• Quantum many-body dynamics of the Einstein-de Haas effect
• Quantum entanglement of a tunneling spin with mechanical modes of a torsional resonator
• Renormalization of spin-rotation coupling
• Dynamic Magnetoelastic Boundary Conditions and the Pumping of Phonons
• Classical Yang-Mills theory in condensed matter physics
• Spin current generation due to mechanical rotation in the presence of impurity scattering
• Switching of Magnetic Moments of Nanoparticles by Surface Acoustic Waves
• The Einstein - de Haas effect at radio frequencies in and near magnetic equilibrium
• Topological magnons on the triangular kagome lattice
• Linear Stability Analysis of a Levitated Nanomagnet in a Static Magnetic Field: Quantum Spin Stabilized Magnetic Levitation
• Recent Advances in Mechanical Torque Studies of Small-scale Magnetism
• Control of vibrational states by spin-polarized transport in a carbon nanotube resonator
• Eddy magnetization from the chiral Barnett effect
• Type-II Dirac points and Dirac nodal loops on the magnons of square-hexagon-octagon lattice
• Spinning superconductors and ferromagnets
• Einstein-de Haas Effect of Topological Magnons
• Damping of a nanocantilever by paramagnetic spins
• Magnon Current Generation by Dynamical Distortion
• Conservation of Angular Momentum in the Elastic Medium with Spins
• Electromechanical Magnetization Switching
• A spin-rotation mechanism of Einstein-de Haas effect based on a ferromagnetic disk
• An Effective Field Theory of Magneto-Elasticity