The intimate relation between the angular momentum and the magnetization - expressed through the gyromagnetic relation - is well known and is easy to evidenced at the macroscopic scale with magnetomechanical measurements. On the other hand, the conservation of the angular momentum find also a simple illustration in the behavior of a spinning top. Accordingly, the dynamics of a single domain ferromagnet should follow the same laws as a symmetrical spinning top. Paradoxically, this is not true since the equations that govern the dynamics of the magnetization do not contain inertial terms. We investigate under what conditions the inertial terms that are initially present in the conservation laws disappear, in order to lead to the well-known expressions of the Landau-Lifshitz-Gilbert equation

Date Published: 15 September 2011
PDF: 6 pages
Proc. SPIE 8100, Spintronics IV, 81000C (15 September 2011); doi: 10.1117/12.893831

Published in SPIE Proceedings Vol. 8100:
Spintronics IV
Henri-Jean M. Drouhin; Jean-Eric Wegrowe; Manijeh Razeghi, Editor(s)