Bogoliubov - de Gennes versus Quasiclassical Description of Josephson Structures

Details Bogoliubov - de Gennes versus Quasiclassical Description of Josephson Structures Bogoliubov - de Gennes versus Quasiclassical Description of Josephson Structures

2002-01-13

arxiv.org/abs/cond-mat/0201199v1

Physics

Condensed Matter

Superconductivity

revtex4,12 pages, 12 figures

Scientific paper

10.1103/PhysRevB.66.054508

The applicability of the quasiclassical theory of superconductivity in Josephson multi-layer structures is analyzed. The quasiclassical approach is compared with the exact theory based on the Bogoliubov - de Gennes equation. The angle and energy resolved (coarse-grain) currents are calculated using both techniques. It is shown that the two approaches agree in $SIS'IS''$ geometries after the coarse-grain averaging. A quantitative discrepancy, which exceeds the quasiclassical accuracy, is observed when three or more interfaces are present. The invalidity of the quasiclassical theory is attributed to the presence of closed trajectories formed by sequential reflections on the interfaces.

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