Nonlinear transport through NS junctions due to imperfect Andreev reflection

  • G. B. Lesovik
  • G. Blatter
Condensed Matter


We investigate a normal-metal-superconductor (point) contact in the limit where the number of conducting channels in the metallic wire is reduced to few channels. As the effective Fermi energy drops below the gap energy, a conducting band with a width twice the Fermi energy is formed. Depending on the mode of operation, the conduction band can be further squeezed, leading to various nonlinear effects in the current-voltage characteristics such as current saturation, a N-shaped negative differential resistance, bistability, and hysteresis.

PACS numbers

74.80.Fp 74.25.Fy 


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  1. 1.
    B. van Wees and H. Takayanagi, in Mesoscopic Electron Transport, edited by L. Son et al., NATO ASI Series, Vol. 345, Kluwer, 1997, p. 469, and references therein; C. W. J. Beenakker, in Mesoscopic Quantum Physics, edited by E. Akkermans et al., Elsevier, 1995.Google Scholar
  2. 2.
    A. F. Andreev, Zh. Éksp. Teor. Fiz. 46, 1823 1964) [Sov. Phys. JETP 19, 1228 (1964)].Google Scholar
  3. 3.
    G. Blonder, M. Tinkham, and T. M. Klapwijk, Phys. Rev. B 25, 4515 (1982).CrossRefADSGoogle Scholar
  4. 4.
    Yu. K. Dzhikaev, Zh. Éksp. Teor. Fiz. 68, 295 (1975) [Sov. Phys. JETP 41, 144 (1975)].ADSGoogle Scholar
  5. 5.
    G. Wendin and V. S. Shumeiko, Phys. Rev. B 53, R6006 (1996).Google Scholar
  6. 6.
    G. B. Lesovik, A. L. Fauchére, and G. Blatter, Phys. Rev. B 55, 3146 (1997).CrossRefADSGoogle Scholar
  7. 7.
    H. Takayanagi, T. Akazaki, and J. Nitta, Phys. Rev. Lett. 75, 3533 (1995).CrossRefADSGoogle Scholar
  8. 8.
    D. A. Wharam et al., J. Phys. C 21, L20 (1988); B. J. van Wees et al., Phys. Rev. Lett. 60, 848 1988).Google Scholar
  9. 9.
    A. P. Sutton, Curr. Opin. Solid State Mater. Sci. 1, 827 (1996).Google Scholar
  10. 10.
    L. I. Glazman and A. V. Khaetskii, Europhys. Lett. 9, 263 (1989); N. K. Patel et al., J. Phys. C 2, 7247 (1990).ADSGoogle Scholar
  11. 11.
    R. J. Brown et al., J. Phys. C 1, 6285 (1989).Google Scholar
  12. 12.
    I. Larkin and J. Davies, Phys. Rev. B 52, R5535 (1995).Google Scholar
  13. 13.
    C. W. J. Beenakker, Phys. Rev. B 46, 12841 1992).Google Scholar
  14. 14.
    V. J. Goldman, D. C. Tsui, and J. E. Cunningham, Phys. Rev. Lett. 58, 1256 1987).ADSGoogle Scholar

Copyright information

© MAIK "Nauka/Interperiodica" 1998

Authors and Affiliations

  • G. B. Lesovik
    • 1
  • G. Blatter
    • 2
  1. 1.Institute of Solid State PhysicsRussian Academy of SciencesChernogolovka, Moscow RegionRussia
  2. 2.Theoretische Physik, ETH-HönggerbergZürichSwitzerland

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