73 research outputs found
Thermal vortex dynamics in thin circular ferromagnetic nanodisks
The dynamics of gyrotropic vortex motion in a thin circular nanodisk of soft
ferromagnetic material is considered. The demagnetization field is calculated
using two-dimensional Green's functions for the thin film problem and fast
Fourier transforms. At zero temperature, the dynamics of the
Landau-Lifshitz-Gilbert equation is simulated using fourth order Runge-Kutta
integration. Pure vortex initial conditions at a desired position are obtained
with a Lagrange multipliers constraint. These methods give accurate estimates
of the vortex restoring force constant and gyrotropic frequency, showing
that the vortex core motion is described by the Thiele equation to very high
precision. At finite temperature, the second order Heun algorithm is applied to
the Langevin dynamical equation with thermal noise and damping. A spontaneous
gyrotropic motion takes place without the application of an external magnetic
field, driven only by thermal fluctuations. The statistics of the vortex radial
position and rotational velocity are described with Boltzmann distributions
determined by and by a vortex gyrotropic mass ,
respectively, where is the vortex gyrovector.Comment: 18 pages, 17 figure
Metastability and dynamic modes in magnetic island chains
The uniform states of a model for one-dimensional chains of thin magnetic
islands on a nonmagnetic substrate coupled via dipolar interactions are
described here. Magnetic islands oriented with their long axes perpendicular to
the chain direction are assumed, whose shape anisotropy imposes a preference
for the dipoles to point perpendicular to the chain. The competition between
anisotropy and dipolar interactions leads to three types of uniform states of
distinctly different symmetries, including metastable transverse or remanent
states, transverse antiferromagnetic states, and longitudinal states where all
dipoles align with the chain direction. The stability limits and normal modes
of oscillation are found for all three types of states, even including infinite
range dipole interactions. The normal mode frequencies are shown to be
determined from the eigenvalues of the stability problem
Spinwave damping in the two-dimensional ferromagnetic XY model
The effect of damping of spinwaves in a two-dimensional classical
ferromagnetic XY model is considered. The damping rate is
calculated using the leading diagrams due to the quartic-order deviations from
the harmonic spin Hamiltonian. The resulting four-dimensional integrals are
evaluated by extending the techniques developed by Gilat and others for
spectral density types of integrals. is included into the memory
function formalism due to Reiter and Solander, and Menezes, to determine the
dynamic structure function . For the infinite sized system, the
memory function approach is found to give non-divergent spinwave peaks, and a
smooth nonzero background intensity (``plateau'' or distributed intensity) for
the whole range of frequencies below the spinwave peak. The background
amplitude relative to the spinwave peak rises with temperature, and eventually
becomes higher than the spinwave peak, where it appears as a central peak. For
finite-sized systems, there are multiple sequences of weak peaks on both sides
of the spinwave peaks whose number and positions depend on the system size and
wavevector in integer units of . These dynamical finite size effects
are explained in the memory function analysis as due to either spinwave
difference processes below the spinwave peak or sum processes above the
spinwave peak. These features are also found in classical Monte Carlo --
Spin-Dynamics simulations.Comment: 20 two-column page
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