1998
DOI: 10.1063/1.593633
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Quantum levels and quasi-local states of SINIS structures

Abstract: Quantum states of a superconductor–insulator–normal metal–insulator–superconductor sandwich (the SINIS structure) are investigated on the basis of the Bogoliubov–de Gennes equations. The dispersion equation is obtained for the quasiparticle spectrum for energies E<Δ (Δ is the energy gap in the superconductor) taking into account the Andreev scattering as well as conventional electron reflection at the interfaces of the SINIS structure. The spectrum makes it possible to calculate the Josephson current in… Show more

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Cited by 14 publications
(7 citation statements)
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“…Coherent effects in the SINIS junctions were also considered theoretically. 9,10,16,17 In spite of this work, the excitation spectrum and phasecoherent transport in such junctions deserves further study. Furthermore, SINIS junctions represent a rich physical system, and are potentially useful for many applications.…”
Section: Introductionmentioning
confidence: 93%
“…Coherent effects in the SINIS junctions were also considered theoretically. 9,10,16,17 In spite of this work, the excitation spectrum and phasecoherent transport in such junctions deserves further study. Furthermore, SINIS junctions represent a rich physical system, and are potentially useful for many applications.…”
Section: Introductionmentioning
confidence: 93%
“…The effect of interface scattering on the continuum part of the spectrum has been analyzed in Ref. 25.…”
Section: Quasiparticle Spectrummentioning
confidence: 99%
“…After evaluating the normal scattering amplitudes we can reinstall the superconductors and match the scattering states in the normal region with the evanescent modes in the superconducting banks. We make use of the Andreev approximation 22 and obtain the quantization condition 11,13,23 cos…”
Section: B Sinis-junctionsmentioning
confidence: 99%
“…Hence such processes in these materials may be significant in the calculations of quantum effects. In a recent publication [8], we derived a general dispersion equation describing the spectrum of quasiparticles in a SINIS structure taking into account the Andreev scattering as well as the normal scattering of quasiparticles at the interfaces between the media. In order to calculate the current, we must calculate the spectrum of quasiparticles in a point contact containing an insulating barrier.…”
Section: Introductionmentioning
confidence: 99%