TY - JOUR
T1 - A spin–rotation mechanism of Einstein–de Haas effect based on a ferromagnetic disk
AU - Nie, Xin
AU - Li, Jun
AU - Datta, Trinanjan
AU - Yao, Dao Xin
N1 - Publisher Copyright:
© Higher Education Press 2024.
PY - 2024/10
Y1 - 2024/10
N2 - 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. (Figure presented.)
AB - 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. (Figure presented.)
KW - Einstein–de Haas effect
KW - spin–rotation coupling
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U2 - 10.1007/s11467-023-1389-9
DO - 10.1007/s11467-023-1389-9
M3 - Article
AN - SCOPUS:85189616559
SN - 2095-0462
VL - 19
JO - Frontiers of Physics
JF - Frontiers of Physics
IS - 5
M1 - 53201
ER -