Research PapersNo Access

TUNNELING EFFECT OF COOPER PAIRS IN WEAK-LINK SUPERCONDUCTOR STRUCTURES WITH MULTI-JUNCTIONS UNDER THE CONDITION FOR OVERSTEPPING THE JOSEPHSON APPROXIMATION

T. MEI

Editorial Department of Journal, Central China Normal University Wuhan, Hubei PRO, P. R. of China

https://doi.org/10.1142/S0217979203022799Cited by:0 (Source: Crossref)

Abstract

In this paper, tunneling effect of Cooper pairs in weak-link superconductor structure with multi-junctions under the condition for overstepping the Josephson approximation is discussed. The equations describing the electric current based on the tunneling effect of Cooper pairs in several kinds of weak-link superconductor structures with multi-junctions are obtained under the condition to overstep the Josephson approximation. For both SISISIS and a four junctions ring, when all junctions are in the zero voltage state, the exact solution of the equations is obtained. It is found that, because of the tunneling effect of the Cooper pairs, an alternating current exists which can be expressed by an elliptic function. For a four junctions ring, the relation between the period of the alternating current and flux is pointed out. At last, the condition for overstepping the Josephson approximation is discussed. The result shows that overstepping the Josephson approximation may be possible when the volumes of superconductors are small enough.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

J. J. Mazo, Phys. Rev. Lett. 89, 234101 (2002), DOI: 10.1103/PhysRevLett.89.234101. Crossref, Web of Science, ADS, Google Scholar
F. S. Cataliottiet al., Science 293, 843 (2001), DOI: 10.1126/science.1062612. Crossref, Web of Science, ADS, Google Scholar
A. V. Narlikar , Josephson Junction Arrays ( NOVA Science Publishers , New York , 2001 ) . Google Scholar
L. M. Floriaet al., Physica D 113, 387 (1998), DOI: 10.1016/S0167-2789(97)00294-7. Crossref, Web of Science, ADS, Google Scholar
F. D. Gibbons, Physics of Complex Systems: Capactive Josephson-junction Arrays and Microtubule-Molecular Motor Dynamics. A doctoral dissertation. Northeastern University, Boston, Massachusetts, 1998 . Google Scholar
Md. Ashrafuzzaman and H. Beck, Dynamics of two-dimensional Josephson-junction arrays , arXiv:cond-mat/0207572 . Google Scholar
T. Mei, Int. J. Mod. Phys. B 24, 3697 (2002). Google Scholar
E. A. Coddington and N. Levinson , Theory of Ordinary Differential Equations ( McGraw-Hill , New York , 1996 ) . Google Scholar
J. K. Hale , Ordinary Differential Equations ( Wiley-Interscience , 1969 ) . Google Scholar
R. P. Feynman , R. B. Leighton and M. Sands , The Feynman Lectures on Physics 3 ( Addison-Wesley , 1965 ) . Google Scholar
A. Barone and G. Paterno , Physics and Applications of the Josephson Effect ( John Wiley & Sons, Inc. , 1982 ) . Crossref, Google Scholar
D. V. Patrick , Elliptic Functions and Elliptic Curves ( Cambridge , 1973 ) . Google Scholar
S. Lang, Elliptic Functions (London, 1973) . Google Scholar