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Prog. Theor. Phys. Vol. 121 No. 1 (2009) pp. 165-191
Transverse Susceptibilities of Ferromagnetic Spin Wave Interacting with Phonon Reservoir
Mizuhiko Saeki*
Department of Physics, The University of Tokyo, Tokyo 113-0033, Japan
and
CREST, JST, Kawaguchi 332-0012, Japan
(Received August 1, 2008)
Abstract:
A form of the transverse magnetic susceptibility of a
ferromagnetic system
interacting with a phonon reservoir is derived in the spin-wave approximation
using the TCLE method in which the admittance of the system is directly
calculated from time-convolutionless equations with external driving terms, and
is investigated numerically and analytically for the system of one-dimensional
infinite spins. It is confirmed that the effects of the initial correlation and
memory for the spin system and phonon reservoir, which are represented by the
interference terms in the TCLE method, increase the peak heights of the power
spectra in the resonance region and cause the power spectra to decrease in the
low-frequency region. It is shown that as the damping of the phonon reservoir
becomes rapid, the half-widths of the line shapes in the resonance region
decrease and the peak heights increase for small wave numbers, and thus the
line shapes show `motional narrowing' for small wave numbers but not for large
wave numbers. For the case of an acoustic phonon reservoir, it is shown that as
the wave number increases, the half-widths decrease and the peak heights
increase, except in the vicinity of 0 and π. For a damped oscillator model
of the phonon reservoir, it is shown that as the characteristic frequency of
the phonon increases, the half-widths increase and the peak heights decrease,
and thus the line shapes show `motional broadening'. It is also shown that as
the magnitude of the spin becomes large, the peak heights increase and the
half-widths increase for small wave numbers but decrease for large wave
numbers. Furthermore, the resonance frequency is shown to increase as the wave
number increases or as the magnitude of the spin becomes large. The numerical
results are examined analytically.
Subject Index :
043, 370
URL :
http://ptp.ipap.jp/link?PTP/121/165/
DOI : 10.1143/PTP.121.165
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 124 No. 1 (2010) pp. 95-123
:
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Non-Equilibrium Thermo-Field Dynamics for a Fourth-Order Hamiltonian
-
Mizuhiko Saeki
