Microscopic theory of Josephson mesoscopic constrictions
A. Martín-Rodero, F. J. García-Vidal, A. Levy Yeyati
DOI 10.1103/PhysRevLett.72.554 · Physical Review Letters
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Abstract
We present a microscopic theory for the dc Josephson effect in model mesoscopic constrictions. Our method is based on a non- equilibrium Green function formalism which allows for a self-consistent determination of the order parameter profile along the constriction. The various regimes defined by the different length scales (Fermi wavelength λF, coherence length ξ0, and constriction length LC) can be analyzed, including the case where all these lengths are comparable. For λF<̃(LC,ξ0) phase oscillations with spatial period λF/2 can be observed. For LC>ξ0 solutions with a phase-slip center inside the constriction can be found, in agreement with previous phenomenological theories.
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