ARTICLE IN PRESS
Y.F. Zhu, G.Q. Di / Journal of Magnetism and Magnetic Materials 302 (2006) 82–85
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1000=R ðOÞ (in nm) [16], we can get the diameter of this
sample is 23.9 nm. Thus the predicted MR due to DW
scattering is E4.5%, which is not in agreement with the
experimental result (MR ¼ 477%). Therefore, the DW
scattering theory can not be used to explain the electro-
deposited nanocontact’s MR. What can be the explanation
of the huge MR in these contacts?
Nickel has negative magnetostriction and the saturation
magnetostriction constant ls ¼ ꢃ34 ꢂ 10ꢃ6 [17]. As shown
in Fig. 1, the length of the electrodeposited Ni between
wires is about 20 mm [8] (even reaches few tens of microns
[9]). Therefore, a magnetic field parallel to the wire II axis
will induce magnetostriction, which causes pulling nano-
contact away from the central part of wire I. For a length
of the electrodeposited Ni of 20 mm, the contraction due to
˚
magnetostriction is lsd ¼ ꢃ6.8 A. Because the epoxy covers
Fig. 1. Schematic drawing of the experimental setup. The length of the
electrodeposited Ni: dE20 mm. The diameter of Ni wire: D ¼ 200 mm.
the wire I except for the central part [8,9], there is a small
free part in wire I (see Fig. 1). A magnetic field
perpendicular to wire I will cause the free part to shrink
by less than 6.8 nm. Combination of the shrinking of wire I
and shortening of the electrodeposited Ni will cause a
displacement of between 0.68 and 7.5 nm. This displace-
ment would have a profound effect on the structure and
diameter of the nanocontact.
resistance of nanocontact was continuously monitored in a
constant current mode with a voltage measurement
technique, while magnetic field between 75.0 kOe was
applied parallel to the wire II axis.
If the displacement is very small, it may deform the
nanocontact. While the nanocontact is slowly stretched, its
cross-section is necking down. Since the conductivity
decreases in proportion to the cross-sectional area, the
resistance of nanocontact increases with increasing the
magnetic field, as the typical MR curves shown in Fig. 2.
When decreasing the magnetic field, the resistance of
nanocontact cannot drop to the initial value; it may be due
to that the nanocontact is distorted, which causes the poor
reproducibility of the electrodeposited nanocontacts (see
Fig. 2(b)). The resistance drops to minimum while the
magnetic field is not at zero (see inset at Fig. 2(a)), which
may be caused by the hysteresis of Ni wires.
Different length changes near the nanocontact result
in different MR effects. If the length change is very
large, it may break the nanocontact. Since we used a
constant current to measure the resistance of the nano-
contact, breaking the nanocontact will cause a very high
electric field between the gap formed by displacement,
strong electric field make the atoms in the contact move
[18], and then a discrete jump is obtained, as shown in
Fig. 3. Decreasing the magnetic field leads the wire I and
wire II to an intimate situation, thus there is no discrete
jump during this period. Therefore, we conclude that the
huge MR may partly due to the magnetostriction of the
electrodeposited Ni and the bulk Ni wire I. Moreover, the
MR could range between few hundred percents [5,8,16] and
100 000% [10].
3. Results and discussion
Fig. 2 shows consecutive magnetoresistance curves in a
sample whose initial zero-field contact resistance was
1.75 O after electrodepostion. It is seen from the first loop
that, with increase in the field in the positive direction, the
resistance increases with field until it reaches a saturation
value (10.1 O) which represents ꢁ477% MR (Fig. 2(a)).
The MR curves are similar to the previous reports [7–10].
During the period of experimentation, we made hun-
dreds of samples. In addition to Fig. 2, Fig. 3 is another
typical MR loop we often obtained. When the external
magnetic field increases from 0 to 75.0 KOe, the resistance
of nanocontact increases. When the nanocontact’s resis-
tance arrives at a maximum value, it jumps to about the
initial value. However, when the magnetic field decreases,
the resistance of nanocontact decreases continuously.
There is no jump during this period.
Since the pioneering MR measurements of the mechani-
cally formed nanocontacts by Garcıa et al. [1], The MR has
´
been attributed to the scattering of spin-polarized electrons
on DW formed in the constriction. Lepadatu and Xu [15]
gave the empirical relations between the percentage
changes in resistance and the cross-sectional area at the
constriction:
Dr
r
K
Sa
¼
,
Recent work by Yang et al. [6] has demonstrated little
MR effect, in which they eliminated magnetostriction, and
they also provide an independent confirmation that
magnetostriction may play a key role in the previous
reported huge BMR.
where S is the cross-sectional area at the constriction.
For Ni, the constant K and a take the values of 1.12 ꢂ 10ꢃ6
and 0.3, respectively. The resistance of the nanocontact
after electrodeposition is 1.75 O (see Fig. 2). Using d ¼