Hostname: page-component-54dcc4c588-m259h Total loading time: 0 Render date: 2025-10-11T08:35:03.445Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetoresistance in Granular Metals

Published online by Cambridge University Press:  28 February 2011

W.L. Mclean
W.L. Mclean*
Affiliation:
Rutgers University, Serin Physics Laboratory, P.O. Box 849, Piscataway, NJ 08855
Get access

Abstract

We review the origins of the magnetoresistance in granular metals with emphasis on the quantum coherence effects arising from the interference of electrons traveling by different paths. We discuss the maximum in the magnetoresistance expected from scaling arguments and observed in granular aluminum. Two theories of the magnetoresistance in the variable range hopping regime, one based on the magnetic-field induced shift of the mobility edge and the other dealing with ‘directed’ hopping, are compared with experiments.

Information

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 195: Symposium S – Physical Phenomena in Granular Materials , 1990 , 117
Copyright
Copyright © Materials Research Society 1990

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.)

Article purchase

Temporarily unavailable

References

REFERENCES

1.For a comprehensive review, see Lee, P.A. and Ramakrishnan, T.V., Revs. Mod. Phys. 57, 287 (1985).Google Scholar
2. Abrahams, E., Anderson, P.W., Licciardello, D.C., and Ramakrishnan, T.V., Phys. Rev. Lett. 42, 673 (1979).Google Scholar
3.In order to use a notation consistent with Eq.4 of Ref.15, which is central to two later sections of this paper, we represent the magnetic induction by the symbol H. The symbol B is used in this equation to represent a constant.Google Scholar
4. Gittleman, J.I., Goldstein, Y., and Bozowski, S., Phys. Rev. B 5, 3609 (1972).Google Scholar
5. Helman, J.S. and Abeles, B., Phys. Rev. Lett. 37, 1429 (1976).Google Scholar
6. Fukuyama, H. and Yosida, K., Journ. Phys. Soc. Japan 46, 102, (1979).Google Scholar
7. Sernelius, B. and Berggren, K.-F., Phys. Rev. B19, 6390 (1979) and references therein.Google Scholar
8. Holstein, T., Phys. Rev. 124, 1329 (1961); L. Friedman and T. Holstein, Ann. Phys. (N.Y.) 21, 494 (1963).Google Scholar
9. Hikami, S., Larkin, A., and Nagaoka, Y., Progr. Theor. Phys. 63, 707 (1980); A. Kawabata, Solid State Commun. 34, 431 (1980).Google Scholar
10. Imry, Y., Phys. Rev. Lett. 44, 469 (1980).Google Scholar
11. Al'tshuler, B.L. and Aronov, A.G., Zh. Eksp. Teor. Fiz. 77, 2028 (1979) [Soy. Phys. JETP 50, 968 (1979)].Google Scholar
12. Chui, T., Lindenfeld, P., McLean, W.L., and Mui, K., Phys. Rev. Lett. 47, 1617 (1981).Google Scholar
13. Aronov, A.G., Gershenzon, M.E., and Zhuravlev, Yu E., Zh. Eksp. Teor. Fiz. 87, 971 (1984) [Soy. Phys. JETP 60, 554 (1984)].Google Scholar
14. Deutscher, G., Rappaport, M.L., and Ovadyahu, Z., Solid State Commun. 28, 593 (1978).Google Scholar
15. Al'tshuler, B.L., Aronov, A.G., and Khmel'nitskii, D.E., Pisma Zh. Eksp. Teor. Fiz. 36, 157 (1982) [JETP Letters 36, 197 (1982].Google Scholar
16. Khmel'nitskii, D.E. and Larkin, A.I., Solid State Commun. 39, 1069 (1981).Google Scholar
17. Sin, H.-K., Lindenfeld, P., and McLean, W.L., Phys. Rev. B30, 4067 (1984); Proc. LITPIM Suppl. (PTB-PB-1) PTB Braunschweigg (1984), p. 287.Google Scholar
18. Belevtsev, B.I., Komnik, Yu. F., and Fomin, A.V., Fiz. Nizk. Temp. 11, 1143 (1985) [Soy. J. Low Temp. Phys. 11, 629 (1985)]; B.I. Belevtsev and A. V. Fomin, ibid. 12, 103 (1986) (ibid. 12, 60 (1986)].Google Scholar
19. Kunchur, M., Zhang, Y.Z., Lindenfeld, P., McLean, W.L., and Brooks, J.S., Phys. Rev. B 36, 4062 (1987).Google Scholar
20. Yoshizumi, S., Geballe, T.H., Kunchur, M., and McLean, W.L., Phys. Rev. B 37, 7094 (1988).Google Scholar
21. Nguen, V.L., Spivak, B.Z., and Shklovskii, B.I., Zh. Eksp. Teor. Fiz. 89, 1770 (1985) [Soy. Phys. JETP 62, 1021 (1985)].Google Scholar
22. Sivan, U., Entin-Wohlman, O., and Imry, Y., Phys. Rev. Lett. 60, 1566 (1988).Google Scholar
23. Faran, O. and Ovadyahu, Z., Phys. Rev. B 38, 5457 (1988).Google Scholar
24. Sin, H.-K., Ph.D. Thesis, Rutgers University, unpublished.Google Scholar
25. Mui, K.C., Lindenfeld, P., and McLean, W.L., Phys. Rev. B 30, 2951 (1984).Google Scholar