Advertisement

Tunneling, Density of States, and Josephson Effect

  • Takafumi Kita
Part of the Graduate Texts in Physics book series (GTP)

Abstract

The tunneling current through a superconducting-normal (SN) junction or a superconducting-superconducting (SS) junction provides rich information about the quasiparticle density of states and condensate wave function. On the basis of the linear response theory developed in the previous chapter, we first derive a general expression for the tunneling current applicable to both junctions as (12.31). It is subsequently applied to SN junctions to show that the current-voltage characteristics directly reflect the quasiparticle density of states as Fig. 12.2. Next, we consider SS junctions to clarify that, besides extra structures caused by two kinds of the quasiparticle density of states, there appears a new feature at zero bias due to the Josephson effect, as seen in Fig. 12.4, that depends on the phase difference of the two coupled superconductors. Thus, a weak contact between two superconductors provides a unique means to detect the phase of the condensate wave function.

Keywords

Tunneling Current Josephson Effect Josephson Current Chemical Potential Difference London Penetration Depth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    M. Abramowitz, I.A. Stegun (eds.), Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables (Dover, New York, 1965)Google Scholar
  2. 2.
    V. Ambegaokar, A. Baratoff, Phys. Rev. Lett. 10, 486 (1963); 11, 104 (1963)Google Scholar
  3. 3.
    G.B. Arfken, H.J. Weber, Mathematical Methods for Physicists (Academic, New York, 2012)Google Scholar
  4. 4.
    J. Bardeen, Phys. Rev. Lett. 6, 57 (1961)CrossRefADSGoogle Scholar
  5. 5.
    A. Barone, G. Paternò, Physics and Applications of the Josephson Effect (John Wiley, New York, 1982)CrossRefGoogle Scholar
  6. 6.
    M.H. Cohen, L.M. Falicov, J.C. Phillips, Phys. Rev. Lett. 8, 316 (1962)CrossRefADSMATHGoogle Scholar
  7. 7.
    I. Giaever, Phys. Rev. Lett. 5, 147 (1960)CrossRefADSGoogle Scholar
  8. 8.
    T. Inui, Y. Tanabe, Y. Onodera, Group Theory and Its Applications in Physics (Springer, Berlin, 1990)CrossRefMATHGoogle Scholar
  9. 9.
    B.D. Josephson, Phys. Lett. 1, 251 (1962)CrossRefADSMATHGoogle Scholar
  10. 10.
    R.E. Prange, Phys. Rev. 131, 1083 (1963)MathSciNetCrossRefADSGoogle Scholar

Copyright information

© Springer Japan 2015

Authors and Affiliations

  • Takafumi Kita
    • 1
  1. 1.Department of PhysicsHokkaido UniversitySapporoJapan

Personalised recommendations