Journal of Magnetism and Magnetic Materials 272–276 (2004) 1769–1771
Substrate dependence of large ordinary magnetoresistance in
sputtered Bi films
Jen-Hwa Hsu
a,b,*, Yung-Shin Sun
b, Hong-Xian Wang
c, P.C. Kuo
b,c,
Tsung-Hsien Hsieh
a, Chi-Te Liang
aaSpintronics Laboratory, Department of Physics, National Taiwan University, Taipei 106, Taiwan bCenter for Nanostorage Research, National Taiwan University, Taipei 106, Taiwan cDepartment of Material Engineering, National Taiwan University, Taipei 106, Taiwan
Abstract
The Bi films of different crystalline orientations can be obtained from growing on selected substrates such as Si(1 0 0),
Si(1 1 0), and Si(1 1 1), which are prepared with DC sputtering followed by post-annealing at 267C for 8 h. Besides, the
positive large ordinary magnetoresistance effect is shown to be highly anisotropic. We have also observed distinct oscillation periods of Shubnikov de-Haas oscillations at low temperatures. This is due to the different orientation of the cyclotron orbits with respect to the films.
r2004 Elsevier B.V. All rights reserved.
PACS: 71.55.Ak; 73.50.Jt; 81.15.Cd; 72.15.Lh
Keywords: Magnetoresistance; Bismuth; Shubnikov de-Haas oscillation; Sputtering
Bismuth, a semi-metal material, has been studied extensively in the last century because Bi possesses many
unique electronic properties [1]. With these unusual
characteristics, the Bi thin films have been used to investigate the classical as well as quantum finite size effect and localization behavior. Besides, the Shubni-kov–de Haas(S–dH) oscillations due to the Landau quantization of the cyclotron orbits of the carriers was also first discovered in Bi single crystal at low
temperatures[2]. Recently, the research of Bi has been
extended into bismuth nanowires that provide an excellent system to investigate the quantum confinement effect on the electronic properties of quasi-1D systems;
for example see Ref. [3]. In the near future,
nanos-tructured bismuth is expected to play a important role in spintronics, e.g., the interconnect between the spin memory cells.
Another issue related to Bi films is the ordinary magnetoresistance (OMR). The Lorentz force in the magnetic field causing helical motion of charge carriers
has been realized responsible for OMR effect. The oct
value is found to act as the dominant factor to determine
the MR value for the OMR effect, where oc¼ eH=mc
is the cyclotron frequency, t is the carrier relaxation time, and m is the effective mass of the carrier. It is
straightforward to show that oct ¼ Hs=nec: In the
previous expression s ¼ ne2t=m is the conductivity and
n is the carrier concentration. In the metals such as Cu,
Ag, and Au, the dependence of oct on magnetic field
can be approximately described by octA0:005H; where
H is the magnetic field in unit of Tesla. Thus, their OMR value is smaller than 1% under 1 T. To have a
substantial MR, oct should be at least of order 1. It
has been found that the oct value can be increased up to
100 times for Bi from those for metals. So the Bi film has potential to exhibit large OMR. In the past, it has been understood that only single-crystal Bi films can give large OMR effect. Bi films made by traditional vapor deposition methods, such as sputtering and evaporation,
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*Corresponding author.Department of physics, National Taiwan University, 1 Roosevelt R., Sec.4, Tapei 106, Taiwan. Tel.: 886-2-23661867; fax: 886-2-33665167.
E-mail address:[email protected] (J.-H. Hsu).
0304-8853/$ - see front matter r 2004 Elsevier B.V. All rights reserved. doi:10.1016/j.jmmm.2003.12.743
are polycrystalline with very small grains, e.g. 10 nm large, which often exhibit disappointingly small effect. In order to grow Bi films with large MR, more sophisticated processes such as molecular-beam-epitaxy were used. In this work, however, we report an extremely large OMR effect at room temperature for Bi films on Si wafer fabricated with DC sputtering followed by a post-annealing treatment. Our sputtered Bi films reveal many unique properties which show crystalline orientation dependence.
The Bi films were made by DC magnetron sputtering using a current of only 20 mA. After as-deposited films were removed from the sputter, the annealing step was undertaken immediately. The annealing temperature
was set at 267C, 4C below the melting point of Bi.
And the annealing time is 8 h. The film structure and morphology were investigated by X-ray diffraction and transmission electron microscopy (TEM), respectively. MR is defined to be MR ¼ fRðHÞRð0Þg=Rð0Þ:
InFig. 1, the representative X-ray diffraction patterns of Bi films with different substrate orientations of Si wafer are shown. It has been shown that the substrate indeed plays an important role for expitaxy. For example, the Bi films with Si(1 0 0) substrate prefer to grow along [0 0 3] direction. On the other hand, the film structure with Si(1 1 1) develops into a large grained [0 1 2] texture. From TEM pictures, the shape of bismuth grains is about spherical and their size is 130 nm in diameter. Thus, it appears that the [0 0 3], [0 1 2] or [1 1 6] preferred axes of Bi aligns perpendicular to the substrate, but the in-plane structure of the film would be slightly twined.
The zero-field, room-temperature resistivity of a single-crystal Bi film is about 1.15 mOm at 300 K, while the resistivity of a polycrystalline Bi film is in general larger than 4.25 mOm depending on film quality. Our data of high-temperature annealed films fall into the
range of 1.5–2 mOm, indicating the formation of Bi films with good crystallinity and low defects. The MR curves shows no hysteresis. And the MR value is more than 300% under 5 T for Si (1 1 1). Compared with published
data from other’s works[4], to our knowledge, this is the
highest room temperature MR so far reported for Bi films. Besides, the MR has crystalline anisotropic behavior. Bi[0 1 2] has the largest MR whereas it is reduced to 150% for Bi[0 0 3]. It is completely due to highly anisotropic Fermi surface of Bi.
The S–dH oscillations with H applied perpendicular to the film plane for three different crystalline
orienta-tions are shown inFig. 2as a funcion of 1=H: In order
to remove the background, the MR values at 4 K have been substracted. The minima in the curves are considered as the locations of the S–dH oscillations. It is noted that the oscillations are almost periodic in 1=H for [0 0 3] and [0 1 2] oriented films. The order n of the oscillations depends essentially linearly on the inverse field. However, due to the highly non-symmetric characteristic along [1 1 6] orientation, the oscillations of multiple periods are expected to be observed as
indicated in Fig. 2. The detailed quantitative analysis
will be given in a separate paper.
In summary, we have demonstrated that a large MR effect of Bi films can be grown from sputtering subjected to a subsequent suitable post-annealing procedure below the melting point of Bi. The enhancement is 300% under 5 T at room temperature. Furthermore, the MR and S– dH oscillation are found to be oriented dependent.
References
[1] G.E. Smith, G.A. Baraff, J.M. Rowell, Phys. Rev. 135 (1964) A1118.
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20 25 30 35 40 45 50 55 60 65 (202) (110) (104) (116) (024) (006) (012) (003) Si (100) 2θ (deg.)Intensity (arb. unit)
Si (110) Si (111)
Fig. 1. y2y X-ray diffraction patterns for Bi films with different substrates. The diffraction peaks for powder Bi are also included for comparison.
Fig. 2. Shubnikov–de Haas oscillations versus inverse magnetic field 1=H for three orientations.
J.-H. Hsu et al. / Journal of Magnetism and Magnetic Materials 272–276 (2004) 1769–1771 1770
[2] L.W. Shubnikov, W.J. de Haas, Proc. Acad. Sci. Amster-dam 33 (1930) 130, 363, 418.
[3] J.L. Costa-Kramer, N. Garcia, H. Olin, Phys. Rev. Lett. 78 (1997) 4990;;
K. Liu, C.L. Chien, P.C. Searson, Phys. Rev. B58 (1998) R14681.
[4] F.Y. Yang, K. Liu, K. Hong, D.H. Reich, P.C. Searson, C.L. Chien, Science 284 (1999) 1335;
F.Y. Yang, Kai Liu, C.L. Chien, Searson, Phys. Rev. Lett. 82 (1999) 3328;
Sunglae Cho, et al., Appl. Phys. Lett. 79 (2001) 3651.