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大学物理实验报告
Ferroelectric Control of Spin
Polarization
ABSTRACT
A
current
drawback
of
spintronics
is
the
large
power
that
is
usually
required
for
magnetic
writing,
in
contrast
with
nanoelectronics,
which
relies
on
“zero
-
current,”
gate
-controlled
operations.
Efforts
have
been
made
to
control
the
spin-relaxation
rate,
the
Curie
temperature,
or
the
magnetic
anisotropy with a gate voltage, but
these effects are usually small and volatile. We
used
ferroelectric tunnel junctions
with ferromagnetic electrodes to demonstrate
local, large, and
nonvolatile control
of carrier spin polarization by electrically
switching ferroelectric
polarization.
Our results represent a giant type of interfacial
magnetoelectric coupling and
suggest a
low-power approach for spin-based information
control.
Controlling the
spin degree of freedom by purely electrical means
is currently an
important challenge in
spintronics (
1
,
2
). Approaches based on
spin-transfer torque
(
3
) have proven
very successful in controlling the direction of
magnetization in a
ferromagnetic
layer,
but
they
require
the
injection
of
high
current
densities.
An
ideal
solution
would rely on the application of an electric field
across an insulator, as in
existing
nanoelectronics. Early experiments have
demonstrated
the volatile
modulation
of spin-based properties
with a gate voltage applied through a dielectric.
Notable
examples
include the
gate control
of the spin-orbit
interaction in
III-V
quantum
wells
(
4
), the Curie
temperature
T
C
(
5
), or the
magnetic anisotropy (
6
) in
magnetic
semiconductors with carrier-
mediated exchange interactions;
for
example, (Ga,Mn)As or
(In,Mn)As.
Electric field
–
induced
modifications of magnetic anisotropy at room
temperature have also been reported
recently in ultrathin Fe-based layers
(
7
,
8
).
A
nonvolatile extension of this approach involves
replacing the gate dielectric by a
ferroelectric and taking advantage of
the hysteretic response of its order parameter
(polarization) with an electric field.
When combined with (Ga,Mn)As channels, for
instance, a remanent control of
T
C
over a few kelvin was achieved through
polarization-driven charge
depletion/accumulation (
9
,
10
), and the magnetic
anisotropy was modified by the coupling
of piezoelectricity and magnetostriction
(
11
,
12
).
Indications
of
an
electrical
control
of
magnetization
have
also
been
provided
in magnetoelectric
heterostructures at room temperature (
1
3
–
17
).
Recently,
several
theoretical
studies
have
predicted
that
large
variations
of
magnetic
properties
may
occur
at
interfaces
between
ferroelectrics
and
high-
T
C
ferromagnets
such
as
Fe
(
18
–
20
),
Co
2
MnSi
(
21
),
or
Fe
3
O
4
(
22
).
Changing
the
direction
of
the
ferroelectric
polarization
has been predicted to influence not only the
interfacial anisotropy and
magnetization, but also the spin
polarization. Spin polarization [., the normalized
difference
in
the
density
of
states
(DOS)
of
majority
and
minority
spin
carriers
at
the
Fermi
level
(
E
F
)]
is
typically
the
key
parameter
controlling
the
response
of
spintronics
systems,
epitomized
by
magnetic
tunnel
junctions
in
which
the
tunnel
magnetoresistance
(
TMR
)
is
related
to
the
electrode
spin
polarization
by
the
Jullière
formula
(
23
).
These
predictions suggest
that the nonvolatile character of ferroelectrics
at the heart of
ferroelectric random
access memory technology
(
24
) may be exploited in
spintronics
devices such as magnetic
random access memories or spin field-effect
transistors (
2
).
However, the nonvolatile electrical
control of spin polarization has not yet been
demonstrated.
We
address this issue experimentally by probing the
spin polarization of electrons
tunneling from an Fe electrode through
ultrathin ferroelectric
BaTiO
3
(BTO)
tunnel
barriers (
Fig.
1A
). The BTO polarization can be
electrically switched to point toward
or
away
from
the
Fe
electrode.
We
used
a
half-metallic
(
25
)
bottom
electrode
as
a
spin
detector
in
these
artificial
multiferroic
tunnel
junctions
(
26
,
27
).
Magnetotransport
experiments
provide evidence for a large and reversible
dependence of the
TMR
on
ferroelectric
polarization direction.
Fig. 1
(
A
) Sketch of the
nanojunction defined by electrically controlled
nanoindentation. A
thin resist is spin-
coated on the BTO(1 nm)/LSMO(30 nm) bilayer. The
nanoindentation
is
performed
with
a
conductive-tip
atomic
force
microscope,
and
the
resulting
nano-hole
is filled by
sputter-depositing Au/CoO/Co/Fe.
(
B
) (Top) PFM phase image of
a BTO(1
nm)/LSMO(30 nm) bilayer after
poling the BTO along 1-by-4
–μm stripes
with either a
negative or positive
(tip-LSMO) voltage. (Bottom) CTAFM image of an
unpoled area of a
BTO(1
nm)/LSMO(30
nm)
bilayer.
Ω,
ohms.
(
C
)
X-ray
absorption
spectra
collected
at
room
temperature close to the Fe
L
3,2
(top), Ba
M
5,4
(middle),
and Ti L
3,2
(bottom) edges on
an
AlO
x
nm)/Al nm)/Fe(2
nm)/BTO(1 nm)/LSMO(30 nm)(
D
)
HRTEM and (
E
) HAADF images
of the
Fe/BTO
interface
in
a
Ta(5
nm)/Fe(18
nm)/BTO(50
nm)/LSMO(30
nm)The
white
arrowheads
in
(D) indicate the lattice
fringes of {011} planes in the iron layer. [110]
and [001]
indicate pseudotetragonal
crystallographic axes of the BTO
perovskite.
The
tunnel junctions that we used in this study are
based on BTO(1 nm)/LSMO(30 nm)
bilayers
grown
epitaxially
onto
(001)-oriented
NdGaO
3
(NGO)
single-crystal
substrates
(
28
).
The
large
(~180°)
and
stable
piezoresponse
force
microscopy
(PFM)
phase
contrast
(
28
) between
negatively and positively poled areas
(
Fig. 1B
, top) indicates
that the
ultrathin BTO films are
ferroelectric at room temperature
(
29
). The persistence of
ferroelectricity
for
such
ultrathin
films
of
BTO
arises
from
the
large
lattice mismatch
with the NGO substrate
(
–
%), which is expected to
dramatically enhance ferroelectric
properties in this highly strained BTO
(
30
). The local
topographical and transport
properties
of the BTO(1 nm)/LSMO(30 nm) bilayers were
characterized by conductive-tip
atomic
force
microscopy
(CTAFM)
(
28
).
The
surface
is
very
smooth
with
terraces
separated
by one-unit-
cell
–
high steps, visible in
both the topography (
29
) and
resistance
mappings (
Fig.
1B
, bottom). No anomalies in the CTAFM
data were observed over lateral
distances on the micrometer
scale.
We defined tunnel
junctions from these bilayers by a lithographic
technique based on
CTAFM
(
28
,
31
). Top electrical contacts
of diameter ~10 to 30 nm can be patterned by
this
nanofabrication
process.
The
subsequent
sputter
deposition
of
a
5-nm-thick
Fe
layer,
capped by a Au(100
nm)/CoO nm)/Co nm) stack to increase coercivity,
defined a set of
nanojunctions
(
Fig. 1A
). The same
Au/CoO/Co/Fe stack was deposited on another BTO(1
nm)/LSMO(30 nm) sample for magnetic
measurements. Additionally, a Ta(5 nm)/Fe(18
nm)/BTO(50 nm)/LSMO(30 nm) sample and a
AlO
x
nm)/Al nm)/Fe(2
nm)/BTO(1 nm)/LSMO(30 nm)
sample were
realized for structural and spectroscopic
characterizations.
We used
both a conventional high-resolution transmission
electron microscope (HRTEM)
and the
NION UltraSTEM 100 scanning transmission electron
microscope (STEM) to
investigate
the
Fe/BTO
interface
properties
of
the
Ta/Fe/BTO/LSMO
sample.
The
epitaxial
growth of the BTO/LSMO bilayer on the
NGO substrate was confirmed by HRTEM and
high-resolution
STEM
images.
The
low-
resolution,
high-angle
annular
dark
field
(HAADF)
image
of
the
entire
heterostructure shows the
sharpness
of
the LSMO/BTO
interface over
the studied area
(
Fig. 1E
, top).
Figure 1D
reveals
a smooth interface between the
BTO and
the Fe layers. Whereas the BTO film is epitaxially
grown on top of LSMO, the
Fe
layer
consists
of
textured
nanocrystallites.
From
the
in-plane
(
a
)
and
out-of-plane
(
c
)
lattice
parameters
in
the
tetragonal
BTO
layer,
we
infer
that
c
/
a
= ±
,
in
good
agreement with the
value of found with the use of x-ray diffraction
(
29
). The
interplanar
distances
for
selected
crystallites
in
the
Fe
layer
[.,
~
?
(
Fig.
1D
,
white
arrowheads)] are consistent with the
{011} planes of body-centered cubic (bcc)
Fe.
We investigated the
BTO/Fe interface region more closely in the HAADF
mode of the STEM
(
Fig.
1E
, bottom). On the BTO side, the
atomically resolved HAADF image allows the
distinction
of
atomic
columns
where
the
perovskite
A-site
atoms
(Ba)
appear
as
brighter
spots. Lattice fringes with the
characteristic {100} interplanar distances of bcc
Fe
(~
?
) can be
distinguished on the opposite side. Subtle
structural, chemical, and/or
electronic
modifications may be expected to occur at the
interfacial boundary between
the BTO
perovskite-type structure and the Fe layer. These
effects may lead to
interdiffusion of
Fe, Ba, and O atoms over less than 1 nm, or the
local modification
of
the
Fe
DOS
close
to
E
F
,
consistent
with
ab
initio
calculations
of
the
BTO/Fe
interface
(
18
–
20
).
To characterize the oxidation state of
Fe, we performed x-ray absorption spectroscopy
(XAS)
measurements
on
a
AlO
x
nm)/Al
nm)/Fe(2
nm)/BTO(1
nm)/LSMO(30
nm)
sample
(
28
).
The
probe
depth
was
at
least
7
nm,
as
indicated
by
the
finite
XAS
intensity
at
the
La
M
4,5
edge
(
28
),
so
that
the
entire
Fe
thickness
contributed
substantially
to
the
signal.
As
shown
in
Fig.
1C
(top), the spectrum at
the Fe L
2,3
edge
corresponds to that of metallic
Fe
(
32
). The XAS spectrum
obtained at the Ba M
4,5
edge (
Fig. 1C
,
middle) is similar to
that
reported
for
Ba
2+
in
(
33
).
Despite
the
poor
signal-to-noise
ratio,
the
Ti
L
2,3
edge
spectrum (Fig. C,
bottom) shows the typical signature expected for a
valence close to
4+
(
34
). From the XAS, HRTEM,
and STEM analyses, we conclude that the Fe/BTO
interface
is smooth with no detectable
oxidation of the Fe layer within a limit of less
than 1
nm.
After
cooling
in
a
magnetic
field
of
5
kOe
aligned
along
the
[110]
easy
axis
of
pseudocubic
LSMO (which is
parallel to the orthorhombic [100] axis of NGO),
we characterized the
transport
properties of the junctions at low temperature
K).
Figure 2A
(middle)
shows a typical res
istance
–
versus
–
p>
magnetic field
R
(
H
)
cycle recorded at a bias
voltage of
–
2 mV (positive bias
corresponds to electrons tunneling from Fe to
LSMO).
The bottom panel of
Fig. 2A
shows the
magnetic hysteresis loop
m
(
H
)
of a similar
unpatterned sample
measured with superconducting quantum interference
device (SQUID)
magnetometry. When we
decreased the magnetic field from a large positive
value, the
resistance dropped in the
–
50 to
–
250 Oe range and then
followed a plateau down to
–
800 Oe, after which it
sharply returned to the high-resistance state. We
observed a
similar
response
when
cycling
the
field
back
to
large
positive
values.
A
comparison
with
the
m
(
H
)
loop indicates that the switching fields in
R
(
H
)
correspond to changes in
the
relative
magnetic
configuration
of
the
LSMO
and
Fe
electrodes
from
parallel
(at
high
field) to antiparallel
(at low field). The magnetically softer LSMO layer
switched at
lower fields (50 to 250 Oe)
compared with the Fe layer, for which coupling to
the
exchange-biased
Co/CoO
induces
larger
and
asymmetric
coercive
fields
(
–
800
Oe,
300
Oe).
The observed
R
(
H
)
corresponds to a negative
TMR
=
(
R
ap
–
R
p
)/
R<
/p>
ap
of
–
17%
[
R
p
and
R
ap
are the resistance in the parallel (p)
and antiparallel (ap) magnetic
configurations,
respectively;
see
the
sketches
in
Fig.
2A
].
Within
the
simple
Jullière
model of
TMR
(
23
) and
considering the large positive spin polarization
of
half-metallic LSMO
(
25
), this negative
TMR
corresponds
to a negative spin
polarization for bcc
Fe at the interface with BTO, in agreement with ab
initio
calculations (
18
–
20
).
Fig. 2
(
A
) (Top) Device
schematic with black arrows to indicate
magnetizations. p, parallel;
ap,
antiparallel. (Middle)
R
(
H
)
recorded at
–
2 mV and K
showing negative
TMR
.
(Bottom)
m
(
H
)
recorded
at
30
K
with
a
SQUID
magnetometer.
emu,
electromagnetic
units.
(
B
) (Top) Device
schematic with arrows to indicate ferroelectric
polarization.
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