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

Victor A. Gopar, J. A. Mendez-Bermudez, Arafa H. Aly

Published 2009-02-21, updated 2009-06-04Version 2

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.