Abstract

We present a method to identify distinct tunneling modes in a tunable superconducting tunnel junction composed of a superconducting tip and a sample in a scanning tunneling microscope. Combining the relative decay constant of tunneling current extracted from $I\ensuremath{-}V\ensuremath{-}z$ spectroscopy with its statistical analysis over the atomic disorders in the sample surface, we identified the crossover of dominant tunneling modes between single charge tunneling, Andreev reflection (AR), and Josephson tunneling with respect to the bias voltage at a measurement temperature nearly half of the critical temperature. The method enables one to determine the specific tunneling regime independently of the spectral shapes and to reveal intrinsic modulation of AR and Josephson current by disorder that will be crucial for superconducting quantum information processing.

Highlights

  • The tunnel junction between superconductors is the heart of modern quantum information devices

  • Our results indicate that the statistical analysis of I-V-z spectroscopy is a powerful method to distinguish various tunneling regimes with minimal assumption for the physical model and specific spectral shapes

  • The structure of dI/dV first rapidly decreases with approaching the Fermi level, and reveals an increase of tunneling conductance at the Fermi level, for spectra acquired with closest proximity between the tip and the surface

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Summary

Introduction

The tunnel junction between superconductors is the heart of modern quantum information devices. The previous studies mostly focused on the clean limit (absence of disorder) and the junction temperature much less than the critical temperature It is less explored how tunneling mechanisms and their crossover behave in the presence of disorder and finite temperature, which is crucial for both practical application of superconducting tunnel junctions and fundamental investigation of proximity of phase transitions. These regimes require the development of a robust method to distinguish between tunneling mechanisms that is complementary to detailed analysis of spectral shapes

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