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 , coherence length , and constriction length ) can be analyzed, including the case where all these lengths are comparable. For <̃(,) phase oscillations with spatial period /2 can be observed. For > solutions with a phase-slip center inside the constriction can be found, in agreement with previous phenomenological theories.
- Received 10 August 1993
DOI:https://doi.org/10.1103/PhysRevLett.72.554
©1994 American Physical Society