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Hopping Transport in One-Dimensional Semiconductor Systems

  • P. N. Butcher
  • J. A. McInnes
Conference paper
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 83)

Abstract

The channel conductance of a one-dimensional MOSFET shows reproducible irregular structure as a function of gate voltage when the device is operated near threshold at low temperatures. The voltage scale on which the structure occurs is in the order of kBT/e. The conductance variations amount to many orders of magnitude when T is taken down into the millikelvin range. These features suggest that the observed structure is due to incoherent hopping. We calculate the conductivity due to this process for a one-dimensional system both numerically and (in an average sense) using percolation theory. The two calculations are in excellent numerical agreement and reproduce the general features of the experimental data.

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References

  1. 1.
    A.B. Fowler, A. Harstein and R.A. Webb, Phys. Rev. Letts. 48, 196 (1982).CrossRefGoogle Scholar
  2. 2.
    R.F. Kwasniak, M.A. Kasiner, J. Mcingalis and P.A. Lee, Phys. Rev. Lett. 552, 224 (1984).CrossRefGoogle Scholar
  3. 3.
    R.A. Webb, A. Harstein, J.J. Wainer and A.B. Fowler, Phys. Rev. Letts. 54, 196 (1985).Google Scholar
  4. 4.
    J.J. Wainer, A.B. Fowler and R.A. Webb, Proceedings of the Seventh Conference on the Electronic Properties of 2D Systems (to be published in Surface Science).Google Scholar
  5. 5.
    G. Timp, A.S. Fowler, A. Harstein and P.N. Butcher, Phys. Rev. B. 33, 1499 (1986).CrossRefGoogle Scholar
  6. 6.
    G. Timp, A.B. Fowler, A. Hartein and P.N. Butcher, Phys. Rev. B. 34, 8771 (1986).CrossRefGoogle Scholar
  7. 7.
    J.A. McInnes and P.N. Butcher, J. Phys. C: Solid St. Phys. 18, L921 (1985).CrossRefGoogle Scholar
  8. 8.
    R.A. Serota, R.K. Halls and P.A. Lee, Phys. Rev. B. 33, 8441.Google Scholar
  9. 9.
    P.N. Butcher and J.A. McInnes, Proceedings of the Seventh Annual Conference on the Electronic Properties of 2D Systems (to be published in Surface Science).Google Scholar
  10. 10.
    P.N. Butcher and J.A. McInnes, to be published in J. Phys. C: Solid St. Phys. (1988).Google Scholar
  11. 11.
    P.N. Butcher, K.J. Hayden and J.A. McInnes, Phil. Mag. 36, 19 (1977).CrossRefGoogle Scholar
  12. 12.
    X.C. Xie and S. Das Sarma, Proceedings of the Seventh Conference on the Electronic Properties of 2D Systems (to be published in Surface Science).Google Scholar
  13. 13.
    V. Ambegaokar, B.I. Halperin and J.S. Langer, Phys. Rev. B 4, 2612, (1971).CrossRefGoogle Scholar
  14. 14.
    P.A. Lee, Phys. Rev. Letts. 53 20 42 (1984).Google Scholar
  15. 15.
    J. Kurkijarvi, Phys. Rev. B. 8, 822 (1973).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • P. N. Butcher
    • 1
  • J. A. McInnes
    • 2
  1. 1.University of WarwickCoventryUK
  2. 2.University of StrathclydeGlasgowScotland, UK

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