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Diffusive and ballistic motion in superconducting hybrid structures

Claughton, N R and Raimondi, R and Lambert, C J (1996) Diffusive and ballistic motion in superconducting hybrid structures. Physical Review B, 53 (14). pp. 9310-9320. ISSN 0163-1829

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Abstract

We examine transport properties of superconducting hybrid mesoscopic structures, in both the diffusive and ballistic regimes. For diffusive structures, analytic results from quasiclassical theory are compared with predictions from numerical, multiple-scattering calculations performed on small structures. For many structures, the two methods yield comparable results and in some cases, quantitative agreement is obtained. These results not only demonstrate that quasiclassical theory can yield the ensemble averaged conductance [G] of small structures of dimensions of order 10-20 Fermi wavelengths, but also establish that numerical-scattering calculations on such small structures can yield results for [G] which are characteristic of much larger systems. One exception arises for Andreev interferometers, where quasiclassical theory predicts a vanishing conductance at a phase difference phi=pi, whereas our numerical approach yields a finite value. We suggest that this is a consequence of the one-dimensional nature of the currently available quasiclassical descriptions. Having compared the two approaches, we extend the multiple-scattering analysis to the ballistic limit, where the sample dimensions become smaller than the elastic mean free path. In this limit, the numerical results can be understood in terms of a two-channel model, which emphasizes the role of interchannel scattering.

Item Type: Article
Journal or Publication Title: Physical Review B
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 58152
Deposited By: ep_importer_pure
Deposited On: 25 Oct 2012 15:22
Refereed?: Yes
Published?: Published
Last Modified: 10 Apr 2014 00:08
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/58152

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