Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-08T08:10:45.693Z Has data issue: false hasContentIssue false

About the Metal-Insulator Transition in Quasicrystals

Published online by Cambridge University Press:  17 March 2011

J. Delahaye
Affiliation:
LEPES – CNRS, BP 166, 38042 Grenoble, Cedex, France
C. Berger
Affiliation:
LEPES – CNRS, BP 166, 38042 Grenoble, Cedex, France
T. Grenet
Affiliation:
LEPES – CNRS, BP 166, 38042 Grenoble, Cedex, France
G. Fourcaudot
Affiliation:
LEPES – CNRS, BP 166, 38042 Grenoble, Cedex, France
Get access

Abstract

Electronic properties (conductivity and density of states) of quasicrystals present strong similarities with disordered semiconductor based systems on both sides of the Mott-Anderson metal-insulator (MI) transition. We revisit the conductivity of the i-AlCuFe and i-AlPdMn phases, which has temperature and magnetic field dependence characteristic of the metallic side of the transition. The i-AlPdRe ribbon samples can be on either side of the transition depending on their conductivity value. In all these i-phases, the density of states at the Fermi level EF is low. Its energy dependence close to EF is similar to disordered systems close to the MI transition where it is ascribed to effects of interactions between electrons and disorder.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.For reviews on these topics see for instance Electron-Electron Interactions in Disordered Systems, ed. Efros, A. L. & Pollak, M. (North-Holland, 1985); Metal-Insulator Transitions Revisited, ed. P. P. Edwards & C. N R. Rao (Taylor & Francis, 1995).Google Scholar
2. Pierce, F. S., Poon, S. J., Guo, Q., Science, 261, 737 (1993).Google Scholar
3. Guo, Q., Poon, S. J., Phys.Rev. B, 54, 12793 (1996).Google Scholar
4. Gignoux, C., Berger, C., Fourcaudot, G., Grieco, J. C., Europhys. Lett., 39, 171 (1997).Google Scholar
5. Lin, C. R., Lin, T. S., Wang, C. R., Chou, S. L., Horng, H. E., Cheng, J. M., Yao, Y. D., Lai, S. C., J. Phys. Cond. Matt., 9, 1509 (1997).Google Scholar
6. Wang, C-R., Lin, S-T., J. Phys. Soc. Jpn., 68, 3988 (1999).Google Scholar
7. Haberkern, R., Rosenbaum, R., Bekar, H., Pilosof, M., Häussler, P., Proc. ICQ7 (to appear).Google Scholar
8. Klein, T., Berger, C., Mayou, D., Cyrot-Lackmann, F., Phys. Rev. Lett., 66, 2907 (1991).Google Scholar
9. Sanquer, M., Tourbot, R., Boucher, B., Europhys. Lett., 7, 635 (1988).Google Scholar
10. Laissardière, G. Trambly de, Roche, S., Mayou, D., proc. Rapidly Quenched Metals 5 (1996).Google Scholar
11. Berger, C., Grenet, T., Order, Chance & Risk, Eds. Axel, F.et al. (EDP Science, 2000) (in press) and references therein.Google Scholar
12. Fisher, I. R., Kracher, M. J., Song, C., Goldman, A.I., Canfield, P.C., this conf.Google Scholar
13. Matsuda, T., Ozaki, T., Sato, H., Mizutani, U., Quasicrystal,s ed. S., S. Takeuchi, Fujiwara, T. (World Sci.,1998) p583; R. Kondo, T. Hashimoto, K. Edagawa, S. Takeuchi, T. Takeuchi, U. Mizutani, J. Phys. Jpn., 66, 1097 (1997).Google Scholar
14. Tamura, R.et al. this conf.Google Scholar
15. Biggs, B. D., Pierce, F. S., Poon, S. J., Europhys. Lett., 19, 415 (1992); C. Berger, Lectures on Quasicrystals, ed. Hippert, F. & Gratias, D. (EdP Science, 1994) p463.Google Scholar
16. Berger, C., Mayou, D., Cyrot-Lackmann, F., Quasicrystals, ed. Janot, C. & Mosseri, R. (World Sci., 1995) p 423; A. Quivy et al., J. Phys. Condensed Matt., 8, 4223 (1996).Google Scholar
17.see for instance: Abrikosov, A.A., Fundamental theory of Metals (North Holland, 1988).Google Scholar
18. Rapp, Ö., Physical Properties of Quasicrystals, ed. Stadnik, Z. M. (Springer Series in Solid State Physics, 1999) p. 127 and ref. therein.Google Scholar
19. Giroud, F., Grenet, T., Europ. J. Phys. B. (in press); F.Giroud, et al., Quasicrystals, ed. Takeuchi, S. & Fujiwara, T., (World Sci., 1998) p 712.Google Scholar
20. Rodmar, M., Ahlgren, M., Oberschmidt, D., Gignoux, C., Delahaye, J., Berger, C., Poon, S. J., Rapp, Ö., Phys. Rev. B, 61, 3936 (2000).Google Scholar
21. Poon, S.J., Pierce, F.S., Guo, Q., Phys. Rev. B, 51, 2777 (1995).Google Scholar
22. Yoshizumi, S., Geballe, T. H., Kunchur, M., McLean, W. L., Phys. Rev. B, 37, 7094 (1988); H. K. Sin, P. Lindenfeld, W. L. McLean, Phys. Rev. B, 30, 4067 (1984).Google Scholar
23. Anderson, P. W., Phys. Rev., 109, (1958) 1492.Google Scholar
24. Mott, N. F., J. Non. Cryst. Solids, 1, 1 (1968).Google Scholar
25. Delahaye, J., Brison, J.-P., Berger, C., Phys. Rev. Lett., 81, 4204 (1998).Google Scholar
26. Delahaye, J., Berger, C., Brison, J. P., Phys. Rev. Lett. (submitted)Google Scholar
27. Ovadyahu, Z., J. Phys. C, 19, 5187 (1986).Google Scholar
28. Shafarman, W. N., Koon, D. W., Castner, T. G., Phys. Rev. B, 40, 1216 (1989).Google Scholar
29. Berger, C., Lectures on quasicrystals, ed. Hippert, F. & Gratias, D. (EdP Science, 1994) p463.Google Scholar
30. Mizutani, U., J. Phys. Cond. Matter, 21, 4609 (1998).Google Scholar
31. Préjean, J. J., Lasjaunias, J. C., Berger, C., Sulpice, A., Phys. Rev. B, 61,9356 (2000).Google Scholar
32. Schaub, T., Delahaye, J., Gignoux, C., Berger, C., Jansen, A. G. M., J. Non Cryst. Solids, 250–252, 874 (1999).Google Scholar
33. Schaub, T., Delahaye, J., Berger, C., Guyot, H., Belkhou, R., Taleb-Ibrahimi, A., Calvayrac, Y., Europ. J. Phys B (in press).Google Scholar
34. McMillan, W.L., Phys. Rev. B, 24, 2739 (1981).Google Scholar
35. Giroud, F., Grenet, T., Berger, C., Lindqvist, P., Gignoux, C., Fourcaudot, G., J. Phys., 46–S6, 2709 (1996).Google Scholar
36. Poon, S. J., Advances in Physics, 41, 303 (1992).Google Scholar
37. Delahaye, J., Rodmar, M. (non published).Google Scholar
38. Kimura, K. (private communication).Google Scholar