The current phase relation of an adjustable superconducting point contact with ballistic conductivity

Koops, Martijn C.; Duyneveldt, G. V. van; Omelyanchouk, A. N.; Ouboter, R. de Bruyn

doi:10.1007/bf02583644

Cited by 1 publication

(3 citation statements)

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“…This allows one to observe higher harmonics of the current-phase dependence in diffusive tunnel junction with a comparatively high resistance. Koops et al [21] apparently reported on the first experimental results in this field.…”

Section: Current-phase Dependence For a Junction In The Second Order ...mentioning

confidence: 99%

“…(17) and (18), we find that this equation has the simple solution ϕ(iω n , q) = −q 2 χ 1 (q)/(q 2 + k 2 ω ) which leads, after the substitution into the self-consistency condition Eq. (21), to the homogeneous integral equation for χ 1 (q):…”

Section: Current-phase Dependence For a Junction In The Second Ormentioning

confidence: 99%

“…Taking into account the current conservation law, Eqs. ( 13) and (21), it is convenient to calculate the value of current at the barrier (x → +0) by expressing ∇ψ(0) in Eq. ( 15) with the help of Eq.…”

Section: Equations For Green's Function Of a Low-transparent Josephso...mentioning

confidence: 99%

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On the theory of Josephson effect in a diffusive tunnel junction

Bezuglyĭ

Bratus

Galaiko

1999

Low Temperature Physics

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Specific features of the equilibrium current-carrying state of a Josephson tunnel junction between diffusive superconductors are studied theoretically in the 1D geometry. It is found that the Josephson current induces localized states of electron excitations in the vicinity of the tunnel barrier, which are a continuous analog of Andreev levels in a ballistic junction. The depth of the corresponding ``potential well'' is much greater than the separation between an Andreev level and the continuous energy spectrum boundary for the same transmissivity of the barrier. In contrast to a ballistic junction in which the Josephson current is transported completely by localized excitations, the contribution to current in a diffusive junction comes from whole spectral region near the energy gap boundary, where the density of states differs considerably from its unperturbed value. The correction to the Josephson current in the second order of the barrier transmissivity, which contains the second harmonic of the phase jump, is calculated and it is found that the true expansion parameter of the perturbation theory for a diffusive junction is not the tunneling probability $\Gamma$ itself, but a much larger parameter $W = (3\xi_0/4l)\Gamma$.Comment: 8 pages, 5 Postscript figures, submitted to Low Temp. Phy

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Section: Current-phase Dependence For a Junction In The Second Order ...mentioning

confidence: 99%

Section: Current-phase Dependence For a Junction In The Second Ormentioning

confidence: 99%