Issue
J. Phys. Colloques
Volume 39, Number C6, Août 1978
The XVth International Conference on low temperature physics
Quantum Fluids and Solids
Superconductivity
Page(s) C6-546 - C6-547
DOI https://doi.org/10.1051/jphyscol:19786245
The XVth International Conference on low temperature physics
Quantum Fluids and Solids
Superconductivity

J. Phys. Colloques 39 (1978) C6-546-C6-547

DOI: 10.1051/jphyscol:19786245

THE JOSEPHSON EFFECT IN SUPERCONDUCTING CONSTRICTIONS : MICROSCOPIC THEORY

I.O. Kulik and A.N. Omelyanchouk

Physico-Technical Institute of Low Temperatures of the UkrSSR Academy of Sciences, Lenin's av. 47 Kharkov 310164, U.S.S.R.


Résumé
L'effet Josephson continu dans des microponts supraconducteurs est étudié dans le cadre de la théorie microscopique de la supraconductivité. Les relations courant-phase I(φ) et la grandeur du courant critique Ic(T) obtenues diffèrent des grandeurs correspondantes pour les jonctions tunnels. La distinction est la plus marquée aux basses températures et pour la limite pure (l>>a), l : libre parcours moyen des électrons, a : rayon de l'orifice. Dans la limite pure (l>>a) la relation courant phase est la suivante [MATH]


Abstract
The d.c. Josephson effect in superconducting microbridges has been studied in terms of the microscopic theory of superconductivity. Current-phase relation, I (φ), and a critical current value, Ic(T), have been obtained and shown to be different from those quantities corresponding to the tunnel junction. These differences are most pronounced at low temperatures and for the pure constrictions : l>>a, l : being the electron mean free path and a : the radius of the orifice connecting two superconductors. In the latter case [MATH]