Bogoliubov-de Gennes versus quasiclassical description of Josephson layered structures
2002 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 66, no 5, 054508- p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2002. Vol. 66, no 5, 054508- p.
IdentifiersURN: urn:nbn:se:umu:diva-91460DOI: 10.1103/PhysRevB.66.054508ISI: 000177873000114OAI: oai:DiVA.org:umu-91460DiVA: diva2:736448
Originally included in thesis in submitted form, with the title "Quasiclassical versus Bogolubov - de Gennes Theory of Multi-Layer Systems".2014-08-062014-08-052014-08-06Bibliographically approved