Bimodal distribution of delay times and splitting of the zero-bias conductance peak in a double-barrier normal-superconductor junction

C. W. J. Beenakker; V. A. Zakharov

doi:10.1103/hl4g-9frn

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Bimodal distribution of delay times and splitting of the zero-bias conductance peak in a double-barrier normal-superconductor junction

C. W. J. Beenakker, V. A. Zakharov

DOI 10.1103/hl4g-9frn · Physical Review B

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Abstract

We formulate a scattering theory of the proximity effect in a weakly disordered superconductor–insulating barrier–normal metal–insulating barrier–normal metal (SININ) junction. This allows one to relate the conductance and density of states of the junction to the scattering times τ (eigenvalues of the Wigner-Smith time-delay matrix). The probability density P(τ) has two peaks, at a short time τmin and a late time τmax. The density of states at the Fermi level is the geometric mean of the two times. The splitting of the zero-bias conductance peak is given by ℏ/τmax.