Cooper pair wavefunction approach to the Josephson effect

被引：0

作者：

Kim, Yong-Jihn ^{[1
,2
]}

机构：

[1] University of Puerto Rico, Bilkent University, Department of Physics, Mayaguez, 00681, Puerto Rico

[2] Department of Physics, 06533 Bilkent, Ankara, Turkey

来源：

Journal of Applied Physics | 2008年 / 103卷 / 10期

关键词：

We introduce an approach to the Josephson effect in the superconductor-insulator-superconductor (SIS) tunnel junctions. The Josephson coupling energy is calculated from the overlap of real space Cooper pair wavefunctions in two superconductors through an insulating barrier. It is shown that the Josephson tunneling is limited by the size of the Cooper pair and its shrinking during the tunneling. Therefore; the Josephson coupling energy and the critical current become extremely small in high Tc superconductors; including MgB2. This shrinking also causes the observed direct current (dc) supercurrent in low Tc superconductors; such as Nb; Pb; and Sn; to fall off much faster than 1 Rn for tunneling resistance Rn above a few ohms. Consequently; there is a material-dependent threshold resistance; above which the supercurrent decreases much faster with increasing resistance. Spectacular confirmation is provided by the Mg B2 break and tunnel junctions; where only small gap shows the supercurrents; while the big gap does not. The impurity-induced shrinking is also shown to limit the critical current. Furthermore; the (weak) temperature dependence of the Cooper pair size is found to contribute to the temperature dependence of the dc supercurrent. This understanding may lead to the discovery of better materials for SIS junctions other than Nb and the optimum miniaturization of the SIS junctions for the petaflops superconducting supercomputers. © 2008 American Institute of Physics;

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