Effects of Andreev reflection on the conductance of quantum-chaotic dots

TL;DR

This paper studies how Andreev reflection influences conductance in quantum-chaotic dots with superconducting and normal leads, providing detailed conductance distributions based on random matrix theory and numerical validation.

Contribution

It presents a comprehensive analysis of conductance distributions in quantum-chaotic dots with superconducting leads, incorporating the effects of Andreev reflection and interface transparency.

Findings

Derived conductance distribution functions for different lead configurations.

Validated theoretical predictions with numerical simulations.

Highlighted the impact of interface transparency on conductance statistics.

Abstract

We investigate the conductance statistics of a quantum-chaotic dot--a normal-metal grain--with a superconducting lead attached to it. The cases of one and two normal leads additionally attached to the dot are studied. For these two configurations the complete distribution of the conductance is calculated, within the framework of random matrix theory, as a function of the transparency parameter of the Schottky barrier formed at the interface of the normal-metal and superconducting regions. Our predictions are verified by numerical simulations.