Abstract
The magnetic inertial dynamics have previously been investigated for one sublattice ferromagnets. Here, we develop the magnetization dynamics in two-sublattice ferromagnets including the intra- and inter-sublattice inertial dynamics. First, we derive the magnetic susceptibility of such a ferromagnet. Next, by finding the poles of the susceptibility, we calculate the precession and nutation resonance frequencies. Our results suggest that while the resonance frequencies show decreasing behavior with the increasing intra-sublattice relaxation time, the effect of inter-sublattice inertial dynamics has an opposite effect.
Highlights
Ultrafast manipulation of electrons’ spin remains at the heart of future generation spin-based memory technology [1,2,3]
The magnetic inertial dynamics have previously been investigated for one sublattice ferromagnets
Our results suggest that while the resonance frequencies show decreasing behavior with the increasing intra-sublattice relaxation time, the effect of inter-sublattice inertial dynamics has an opposite effect
Summary
Ultrafast manipulation of electrons’ spin remains at the heart of future generation spin-based memory technology [1,2,3]. The ILLG equation signifies the fact that the dynamics of a magnetic moment shows precession with nutation at ultrafast timescales, followed by transverse damping [24]. It is worth mentioning that the Gilbert damping α has been calculated for several materials within ab initio frameworks [32, 40,41,42,43,44,45,46,47,48,49,50,51,52], while there are proposals to calculate the inertial relaxation time within extended breathing Fermi surface model [53,54,55] These ILLG equations have been contemplated to forecast the signatures of inertial dynamics in collinear antiferromagnets and ferrimagnets [38].
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