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

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Hauptverfasser: Beenakker, C. W. J., Zakharov, V. A.
Format: Preprint
Veröffentlicht: 2025
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author Beenakker, C. W. J.
Zakharov, V. A.
author_facet Beenakker, C. W. J.
Zakharov, V. A.
contents We formulate a scattering theory of the proximity effect in a weakly disordered SININ junction (S = superconductor, I = insulating barrier, N = normal metal). This allows 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 $τ_{\rm min}$ and a late time $τ_{\rm max}$. 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 $\hbar/τ_{\rm max}$.
format Preprint
id arxiv_https___arxiv_org_abs_2506_18515
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bimodal distribution of delay times and splitting of the zero-bias conductance peak in a double-barrier normal-superconductor junction
Beenakker, C. W. J.
Zakharov, V. A.
Mesoscale and Nanoscale Physics
Superconductivity
We formulate a scattering theory of the proximity effect in a weakly disordered SININ junction (S = superconductor, I = insulating barrier, N = normal metal). This allows 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 $τ_{\rm min}$ and a late time $τ_{\rm max}$. 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 $\hbar/τ_{\rm max}$.
title Bimodal distribution of delay times and splitting of the zero-bias conductance peak in a double-barrier normal-superconductor junction
topic Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2506.18515