Andreev bound states and self-consistent gap functions in clean layered superconductor/normal metal systems with finite transverse width

R. E. S. Otadoy; A. Lodder

doi:10.1103/PhysRevB.65.024521

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Andreev bound states and self-consistent gap functions in clean layered superconductor/normal metal systems with finite transverse width

R. E. S. Otadoy, A. Lodder

DOI 10.1103/PhysRevB.65.024521 · Physical Review B

T1

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Abstract

Andreev bound states in clean, ballistic SNS and SNSNS junctions are calculated exactly and by using the Andreev approximation (AA). The AA appears to break down for junctions with transverse dimensions chosen such that the motion in the longitudinal direction is very slow. The doubly degenerate states typical for the traveling waves found in the AA are replaced by two standing waves in the exact treatment and the degeneracy is lifted. A multiple-scattering Green’s function formalism is used, from which the states are found through the local density of states. The scattering by the interfaces in any layered system of ballistic normal metals and clean superconducting materials is taken into account exactly. The formalism allows, in addition, for a self-consistent determination of the gap function. In the numerical calculations the pairing coupling constant for aluminum is used. Various features of the proximity effect are shown.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
Al Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown