Advertisement

High-Frequency Properties of Mesoscopic Junctions

  • Vladimir I. Fal’ko
Chapter
Part of the NATO ASI Series book series (NSSB, volume 254)

Abstract

The statistics of electron levels in an open disordered quantum system is one of the general problems solved in the theory of mesoscopics. As the random potential of elastic scatterers in disordered conductors leads to repulsion of electron levels, the latter are strongly correlated near the Fermi energy. In an open system, such as a mesoscopic junction of the characteristic size L joining bulky electrodes, this correlation exists only within intervals of the width ∆ϵh/ τf [1], where τfL 2 /D is the time of diffusion through the junction. The electron spectrum can be conveniently divided into un correlated intervals with almost independent fluctuations of the number of transport levels. The temperature dependence of the mesoscopic resistance [2], and the non-linear conductance fluctuations of small metallic particles [3] were shown to be sensitive to this correlation. Here it is argued that the structure of the electron spectrum predicted by Alt-shuler and Shklovskii [1] manifests itself in random frequency dependences of AC-kinetic coefficients of microjunctions. Thus, all of them can serve as spectral “fingerprints” of a sample in the same way as the magnetoresistance serves as its “magneto-fingerprint” [4].

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    B.L. Al’tshuler and B.I. Shklovskii, Sov. Phys. JETP 64, 127 (1986)Google Scholar
  2. [2]
    B.L. Al’tshuler, Sov. Phys. JETP 41, 648 (1985);Google Scholar
  3. [2a]
    P.A. Lee and A.D. Stone, Phys. Rev. Lett. 55, 1622 (1985)ADSCrossRefGoogle Scholar
  4. [3]
    D.E. Khmel’nitskii and A.I. Larkin, Sov. Phys. JETP 64, 1075 (1986)Google Scholar
  5. [4]
    S. Washburn and R.A. Webb, Adv. Phys. 35, 375 (1986)ADSCrossRefGoogle Scholar
  6. [5]
    V.I. Fal’ko and D.E. Khmel’nitskii, ZETF 95, 349 (1989)Google Scholar
  7. [6]
    V.I. Fal’ko, Europhys. Lett. 8, 785 (1989)ADSCrossRefGoogle Scholar
  8. [7]
    J. Măsek, B. Kramer, Sol. St. Commun. 68, 611 (1988)CrossRefGoogle Scholar
  9. [8]
    B.L. Al’tshuler, A.G. Aronov, and D. E. Khmel’nitskii, Sol. St. Commun. 39, 619 (1981)ADSCrossRefGoogle Scholar
  10. [9]
    A.A. Bykov, G.M. Gusev, Z. D. Kvon et al., Sov. Phys. JETP Lett. 49, 13 (1989);ADSGoogle Scholar
  11. [9a]
    A.A. Bykov, G.M. Gusev, Z. D. Kvon et al., Sov. Phys. JETP 70, 140 (1990)Google Scholar
  12. [10]
    N. Giordano and J. Liu, Physica B 165, 279 (1990)CrossRefMathSciNetGoogle Scholar
  13. [11]
    F. Kuchar, private communicationGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Vladimir I. Fal’ko
    • 1
  1. 1.Institute of Solid State PhysicsChernogolovkaUSSR

Personalised recommendations