A spin−rotation mechanism of Einstein–de Haas effect based on a ferromagnetic disk
Xin Nie1, Jun Li1, Trinanjan Datta2,3(), Dao-Xin Yao1,4()
1. Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, State Key Laboratory of Optoelectronic Materials and Technologies, Center for Neutron Science and Technology, School of Physics, Sun Yat-Sen University, Guangzhou 510275, China 2. Department of Physics and Biophysics, Augusta University, 1120 15th Street, Augusta, Georgia 30912, USA 3. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA 4. International Quantum Academy, Shenzhen 518048, China
Spin−rotation coupling (SRC) is a fundamental interaction that connects electronic spins with the rotational motion of a medium. We elucidate the Einstein−de Haas (EdH) effect and its inverse with SRC as the microscopic mechanism using the dynamic spin−lattice equations derived by elasticity theory and Lagrangian formalism. By applying the coupling equations to an iron disk in a magnetic field, we exhibit the transfer of angular momentum and energy between spins and lattice, with or without damping. The timescale of the angular momentum transfer from spins to the entire lattice is estimated by our theory 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 strength and the rotation frequency, which is also enhanced by a higher ratio of Young’s modulus to Poisson’s coefficient. In the presence of damping, we notice that the spin−lattice relaxation time is nearly inversely proportional to the magnetic field. Our explorations will contribute to a better understanding of the EdH effect and provide valuable insights for magneto-mechanical manufacturing.
Corresponding Author(s):
Trinanjan Datta,Dao-Xin Yao
引用本文:
. [J]. Frontiers of Physics, 2024, 19(5): 53201.
Xin Nie, Jun Li, Trinanjan Datta, Dao-Xin Yao. A spin−rotation mechanism of Einstein–de Haas effect based on a ferromagnetic disk. Front. Phys. , 2024, 19(5): 53201.
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