https://doi.org/10.1140/epjb/e2005-00141-4
Dynamic transition and hysteresis scaling in Heisenberg ferromagnet
1
Department of Physics, Fujian Normal University, Fuzhou, 350007,
China
2
National Laboratory of Solid State Microstructures, Nanjing
University, Nanjing 210093, China
Corresponding author: a zghuang@fjnu.edu.cn
Received:
15
July
2004
Revised:
8
February
2005
Published online:
30
May
2005
Based on the mean-field treatment and Monte Carlo simulation, we studied the
nature of the dynamic phase transition of two and three-dimensional magnetic
films in Heisenberg model. The time averaged magnetization components (, my, mz),the average hysteresis-loop area components A for
magnetic films with different thickness have been calculated. The dynamic
transition phase diagrams from
to Q=0 for the 2D and 3D cases have been obtained. The relaxation times for
different values of magnetic field, temperature, thickness of the films and
the orientation number of spin have been simulated. It is found that the
loop area follows the scaling relation,
, and the exponents
and
increase
with increasing thickness, while the exponent
decreases with
increasing thickness. It was observed that the phase boundary line shrinks
inward in the H0-T plane with decreasing value of the frequency of
the magnetic field and thickness of multilayer film. The phase diagrams were
explained by the competition between the relaxation time and the period of
the external magnetic field. Moreover, it has been indicated that the
dynamical behaviors for 2D and 3D cases derived by both mean-field method
and Monte Carlo method in this work are consistent.
PACS: 75.60.Ej – Magnetization curves, hysteresis, Barkhausen and related effects / 75.40.Mg – Numerical simulation studies / 73.21.Ac – Multilayers / 75.30.Kz – Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005