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Classification of Icosahedral Quasicrystals and their Approximants by the Electronic Conduction Mechanisms

Published online by Cambridge University Press:  17 March 2011

Tsunehiro Takeuchi
Affiliation:
Department of Crystalline Materials Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan
Eiichi Banno
Affiliation:
Department of Crystalline Materials Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan
Tomohide Onogi
Affiliation:
Department of Crystalline Materials Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan
Takayuki Mizunol
Affiliation:
Department of Crystalline Materials Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan
Takuya Sato
Affiliation:
Department of Crystalline Materials Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan
Fournée Vincent
Affiliation:
Department of Crystalline Materials Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan Ames Laboratory, Iowa State University, Ames, Iowa 50011, USA
Uichiro Mizutani
Affiliation:
Department of Crystalline Materials Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464-8603, Japan
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Abstract

In this paper, two independent factors, electronic structure at the Fermi energy and electron scattering, both of which determine the electrical resistivity, are clearly separated by using a plot of ρ4K versus RRR (RRR = ρ4K/ρ300K) for icosahedral quasicrystals and their approximants. Each contribution of the electronic structure and the electron scattering on the electrical resistivity was systematically revealed, and the origin for the high resistivities observed in the quasicrystals and approximants is well understood by taking each effect into account. We found that the quasicrystals and approximants are classified into three groups in terms of the electron scattering mechanism, which dominates the temperature dependence of the resistivity. The temperature dependence of the electrical resistivity in the first group is well understood in terms of the Boltzmann transport mechanism, and those in the second and the third groups are in terms of the weak localization and the Anderson localization, respectively.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

[1] Altshler, B. L., Khmelnizki, D., Larkin, A. I., and Lee, P. A., Phys. Rev. B22, 5142 (1980).Google Scholar
[2] Mott, N. F., “Metal-Insulator Transitions” 2nd Edition, London, Taylor & Francis, (1990).Google Scholar
[3] Cote, P. J. and Meisel, L.V., Phys. Rev. Lett., 39, 102, (1997).Google Scholar
[4] Kashimoto, S., Nakano, H., Shimizu, T., Ishimasa, T., and Matsuo, S., to be published in J. Mat. Sci.Engng, A (2001).Google Scholar
[5] Takeuchi, T. and Mizutani, U., Phys. Rev. B52, 9300, (1995).Google Scholar
[6] Mizutani, U., Iwakami, W., Takeuchi, T., Sakata, M., and Takata, M., Phil. Mag. Lett. 76, 349, (1997).Google Scholar
[7] Rapp, Ö., “Physical Properties of Quasicrystals” ed. by Stadnik, Z.M., Springer, (1998), Chap. 5Google Scholar
[8] Mizutani, U., J. Phys. Condensed matter, 10, 98, (1998).Google Scholar
[9] Takeuchi, T., Mizuno, T., Banno, E. and Mizutani, U., to be published in J. Mat. Sci. Engng, A (2001).Google Scholar
[10] Takeuchi, T., Mizutani, U., Yamaguchi, S., Fukunaga, T., Mizuno, T., and Tanaka, N., Phys. Rev. B58, 914, (1994).Google Scholar