Bogoliubov–de Gennes versus quasiclassical description of Josephson layered structures
M. Ozana, A. Shelankov, J. Tobiska
DOI 10.1103/PhysRevB.66.054508 · Physical Review B
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Abstract
The applicability of the quasiclassical theory of superconductivity in Josephson multilayer 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 from the interfaces.
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