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Conductivity of granular metallic films

  • Yu. N. Ovchinnikov
Electronic Properties of Solids

Abstract

The electrical resistivity of granular metallic films with a granule size R ∼ 10–50 Å decomposes into two factors. One of them depends only on the ratio (T 0(x)/T) and varies in a range of six to seven orders of magnitude. The second factor depends on the volume concentration of metallic granules x and the concentration of the solution of isolated metal atoms in their oxide and varies in a range of five to six orders of magnitude. Expressions for both factors have been obtained. The conductivity of the granular films is related to tunneling between neighboring granules. The tunneling probability depends substantially on the concentration of the solution of isolated metal atoms in the oxide.

PACS numbers

72.90.+y 73.40.Ns 

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References

  1. 1.
    I. Giaever and H. R. Zeller, Phys. Rev. Lett. 20, 1504 (1968).CrossRefADSGoogle Scholar
  2. 2.
    B. Abeles, Ping Sheng, M. D. Coutts, and Y. Arie, Adv. Phys. 24, 407 (1975).CrossRefADSGoogle Scholar
  3. 3.
    B. Abeles, H. L. Pinck, and J. I. Gittleman, Phys. Rev. Lett. 35, 247 (1975).CrossRefADSGoogle Scholar
  4. 4.
    A. Barone and G. Paterno, Physics and Applications of the Josephson Effect (Wiley-Interscience, New York, 1982; Mir, Moscow, 1984).CrossRefGoogle Scholar
  5. 5.
    Yu. N. Ovchinnikov, R. Cristiano, C. Nappi, and A. Barone, J. Low Temp. Phys. 99, 81 (1995).CrossRefGoogle Scholar
  6. 6.
    M. Pollak and C. J. Adkins, Philos. Mag. B 65, 855 (1992).Google Scholar
  7. 7.
    I. S. Beloborodov, A. V. Lopatin, and V. M. Vinokur, Phys. Rev. B 72, 125121 (2005).Google Scholar
  8. 8.
    M. V. Feigelman and A. F. Ioselevich, JETP Lett. 81, 277 (2005).CrossRefADSGoogle Scholar
  9. 9.
    D. A. Averin and Yu. V. Nazarov, Phys. Rev. Lett. 65, 2446 (1990).CrossRefADSGoogle Scholar
  10. 10.
    A. I. Larkin and Yu. N. Ovchinnikov, in Quantum Tunneling in Condensed Media, Ed. by Yu. Kagan and A. J. Leggett (Elsevier, Amsterdam, 1992), p. 231.Google Scholar
  11. 11.
    Yu. N. Ovchinnikov and A. Schmid, Phys. Rev. B 50, 6332 (1994).CrossRefADSGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2007

Authors and Affiliations

  • Yu. N. Ovchinnikov
    • 1
    • 2
  1. 1.Max-Planck Institute for Physics of Complex SystemsDresdenGermany
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow oblastRussia

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