O
n page 203 of this issue, Saitoh et al.
1
provide a beautiful demonstration
of a magnetic domain wall oscillat-
ing just as a pendulum would do under
gravity. A domain wall separates two uni-
formly magnetized regions and is predicted,
at low excitation energies, to behave like a
particle with a finite mass. By trapping a
single magnetic domain wall in a strip of
ferromagnetic material, Saitoh et al. show
that they can force the oscillations of the
wall inside this potential well, achieving res-
onant displacements of micrometre length
at megahertz frequencies — all with only
moderate currents, a key result for possible
applications.
The experiment designed by Saitoh et al.
is very clever. They patterned a narrow semi-
circular loop of Ni
81
Fe
19
wire, 70 nm wide
and 45 nm deep, onto a silicon substrate. In
such a wire of soft ferromagnetic material,
dipolar interactions tend to maintain the
magnetization parallel to the wire edges. A
domain wall will thus separate two areas that
are uniformly magnetized antiparallel to
each other (Fig. 1a). These ‘head-to-head’
walls have a nanoscale core that is magne-
tized perpendicular to the local wire direc-
tion.And this is where the semicircular shape
comes into play: a magnetic field strong
enough to saturate the magnetization of the
whole loop, when reduced again to zero, will
either leave a single wall in the loop or
destroy a pre-existing one, depending solely
on the field’s orientation (Fig. 1b,c). If a wall
is created,increasing the field back to moder-
ate values will tend to trap the wall at the
position that keeps its core magnetized par-
allel to the field direction. The wall will then
behave in a manner similar to a simple pen-
dulum, which relaxes towards a stable posi-
tion under gravity. But here the role of gravity
is taken by the magnetic field and hence
can be tuned in amplitude and direction —
gravity itself is not so easy to manipulate!
Applying a periodic force to this ‘magnetic
pendulum’ results in an oscillation, whose
resonant frequency depends on the effective
‘mass’ of the domain wall: Saitoh et al. have
determined that mass to be 6.6ǂ10
ǁ23
kg.
The authors have gone further,to investigate
the oscillation triggered by passing a sinu-
soidal current through the wire, using its res-
onance to explore the interaction between
the electrons and the wall. Two types of
competing interactions are expected. One is
‘momentum transfer’, which is basically the
mechanical pressure exerted by electrons
reflected from the domain wall. The other is
‘spin transfer’,which arises from the fact that
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162 NATURE | VOL 432 | 11 NOVEMBER 2004 | www.nature.com/nature
Figure 1 A magnetic pendulum in tunable
gravity. a, Where two oppositely magnetized
regions meet, there is a domain wall. The arrows
indicate the direction of magnetization. Saitoh
et al.
1
have explored the magnetization in a
semicircular loop of Ni
81
Fe
19
wire. b, When a
magnetic field is applied as shown and then
removed, the magnetization of the wire settles
into a configuration that includes a single
domain wall. c, A magnetic field applied in a
perpendicular orientation, however, sets the
magnetization such that there is no domain
wall. When a domain wall is created, Saitoh et al.
have shown that it can be made to behave like a
pendulum does under gravity, although in this
case the ‘gravitational’ force — the strength and
direction of the magnetic field — can be tuned
across a range of values.
the spins of electrons passing through the
domain wall rotate: because total angular
momentum is conserved, angular momen-
tum is transferred from the electrons to the
magnetization itself, which can trigger
movement of the domain wall.
To identify which mechanism is the more
relevant, Saitoh et al. take advantage of the
different frequency-dependent efficiencies
of each transfer process. They find that
momentum transfer is a hundred times
more efficient than spin transfer in the fre-
quency range of this experiment (from a
few to 75 megahertz). This is unexpected in
ferromagnetic metals, such as the nickel–
iron compound used here: most scientists
believed that domain walls in such materials
are wide enough for flowing spins to rotate
adiabatically and track the local magnetiza-
tion orientation, leading to the dominance of
spin transfer. Moreover, by properly choos-
ing the excitation frequency, the threshold
current to displace the domain wall could be
reduced to a few times 10
9
Am
ǁ2
,a hundredth
of what is observed with direct currents, and
well below any heating threshold.
Magnetic domain walls can be con-
sidered to be self-assembled stable nano-
structures; moreover, they can be created or
annihilated by external action. The manipu-
lation of domain walls in stripes has already
been proposed as a way of storing informa-
tion or even performing logic functions
2
.
With their result, Saitoh et al.
1
now provide a
low-energy handle on the manipulation of
domain walls in complex circuit architec-
tures. And this technique can be fast
3
and is
fairly scalable — the only requirement is to
maintain a constant current density as the
stripe dimensions are reduced. Saitoh et al.
propose some rules of thumb to reduce the
required current density even further. In
fact, if the ferromagnetic metal were replaced
by a dilute magnetic semiconductor, the
current density needed to move a wall would
already be much smaller
4
.
Conventional (CMOS) electronics is
facing major technical hurdles, particularly
that of miniaturization. New approaches are
needed to reduce energy dissipation and
fabrication costs while maintaining the rate
of reduction of dimensions, and must be
implemented within 15–20 years. This work
1
could well find application in this direction.
Saitoh and colleagues could be a step closer
to a new ‘domain-wall’electronics. ■
Claude Chappert and Thibaut Devolder are at the
Institut d’Electronique Fondamentale,
UMR CNRS 8622, Université Paris-Sud,
91405 Orsay cedex, France.
e-mail: claude.chappert@ief.u-psud.fr
1. Saitoh, E., Miyajima, H., Yamaoka, T. & Tatara, G. Nature 432,
203–206 (2004).
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Condensed-matter physics
A magnetic pendulum
Claude Chappert and Thibaut Devolder
Where two oppositely magnetized regions meet, there is a so-called
domain wall. Under the right conditions, this wall can be made to
oscillate like a pendulum, suggesting a new approach to electronics.
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