RF-photon induced Mo
¨
ssbauer satellites in permalloy
A. Ya. Dzyublik,
a)
V. Yu. Spivak, R. A. Manapov, and F. G. Vagizov
Institute of Nuclear Studies, 252028 Kiev, Ukraine; Kazan Physicotechnical Institute,
420029 Kazan, Tatarstan, Russia
~Submitted 14 July 1997; resubmitted 2 December 1997!
Pis’ma Zh. E
´
ksp. Teor. Fiz. 67, No. 1, 57–61 ~10 January 1998!
The Mo
¨
ssbauer spectra of a permalloy film placed in an rf magnetic
field are measured. The film is so thin that transverse magnetostriction
oscillations are not excited in it. This permits the observation of satel-
lites that are due solely to periodic variations of the magnetic field at
the nucleus. The data are in good agreement with calculations per-
formed in the model of step-wise field reversals. On application of an
additional static magnetic field the splitting of the satellites is observed,
as predicted by the model of asymmetric step-wise field reversals.
© 1998 American Institute of Physics. @S0021-3640~98!01101-3#
PACS numbers: 76.80.1y, 75.80.1q
Many Mo
¨
ssbauer experiments ~see the reviews
1–4
! are devoted to the investigation
of soft ferromagnets in a radio-frequency ~rf! magnetic field with angular frequency V .
Equidistant ~separated by an interval V ) satellites, which are split if the quadrupole
interaction is also strong, were observed in these experiments. At high frequencies V
these spectra collapse into a single line or doublet. The main idea forming the basis of the
model of step-wise field reversals is that the magnetic field h( t ) at a nucleus in a soft
ferromagnet placed in an rf field H
rf
( t ) jumps periodically between two values 1h
0
and
2h
0
. The corresponding equations for the absorption cross section are derived in
Refs. 5–7.
The reversals can be simply explained as follows ~see also Ref. 8!. It is known
9,10
that soft ferromagnets have a cluster structure. Such weakly interacting clusters behave
similarly to superparamagnetic particles in which all spins are strongly coupled. The
magnetization M
c
of a cluster can be oriented along the easy-magnetization axis or in the
opposite direction. Correspondingly, the potential energy W
0
( w ) of a cluster as a function
of the angle between M
c
and the easy-magnetization axis has two minima. In a field
H
rf
( t ) a cluster acquires the additional potential energy V ( t ) 52M
c
• H
rf
( t ). Then the
total potential energy W
0
1V ( t ) will be a periodic function of time. Its oscillations force
M
c
to undergo periodic jumps between two opposite potential wells with a time interval
T /2 between successive jumps, where T 52 p / V is the period of the rf field. Application
of an additional static magnetic field H
0
gives another static contribution 2M
c
• H
0
to the
potential energy. This makes one potential well deeper than the other, even in the absence
of H
rf
( t ). The applied field H
rf
( t ) with amplitude greater than H
0
will once again give
rise to jumps of the magnetization but in this case the time T
1
which a cluster spends in
the potential well with magnetization M
c
parallel to H
0
will be greater than the time T
2
spent in a well with M
c
antiparallel to H
0
. A nucleus interacting with a reversing field
61 61 0021-3640/98/010061-06$15.00 © 1998 American Institute of Physics