Physics – Condensed Matter
Scientific paper
1994-07-22
Phys. Rev. B 51, 3743 (1995)
Physics
Condensed Matter
23 pages (RevTex) 11 figures available upon request (fj@uamc10.fmc.uam.es)
Scientific paper
10.1103/PhysRevB.51.3743
A microscopic model for describing a superconducting mesoscopic weak link is presented. We consider a model geometry consisting of a narrow channel coupled to wider superconducting electrodes which act as reservoirs fixing the asymptotic values of the complex order parameter. For this model, the Bogoliubov-de Gennes equations are discretized and solved self-consistently using a non-equilibrium Green functions formalism. The transport properties and the electronic excitation spectra of this system are studied for the different regimes that can be reached by varying parameters like coherence length, constriction length, normal transmission coefficient and temperature. We study in detail the transition from the point contact limit to the infinite channel length case, analyzing the maximum Josephson current that can be sustained by the weak link as a function of its transmission coefficient and length.
Garcia-Vidal Francisco J.
Martín-Rodero Alvaro
Yeyati Alfredo Levy
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