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Spin-rotation coupling (SRC) is a fundamental phenomenon that connectselectronic spins with the rotational motion of a medium. We elucidate theEinstein-de Haas (EdH) effect and its inverse with SRC as the microscopicmechanism using the dynamic spin-lattice equations derived by elasticity theoryand Lagrangian formalism. By applying the coupling equations to an iron disk ina magnetic field, we exhibit the transfer of angular momentum and energybetween spins and lattice, with or without damping. The timescale of theangular momentum transfer from spins to the entire lattice is estimated by ourtheory to be on the order of 0.01 ns, for the disk with a radius of 100 nm.Moreover, we discover a linear relationship between the magnetic field strengthand the rotation frequency, which is also enhanced by a higher ratio of Young'smodulus to Poisson's coefficient. In the presence of damping, we notice thatthe spin-lattice relaxation time is nearly inversely proportional to themagnetic field. Our explorations will contribute to a better understanding ofthe EdH effect and provide valuable insights for magneto-mechanicalmanufacturing.

A spin-rotation mechanism of Einstein-de Haas effect based on a ferromagnetic disk