Quasiparticle transport in arrays of chaotic cavities

TL;DR

This paper investigates how transmission eigenvalues distribute in chains of chaotic cavities, revealing a universal approach to diffusive behavior as the number of junctions grows, and derives charge transfer statistics in different states.

Contribution

It introduces a method to determine transmission eigenvalue distributions in chaotic cavity arrays and analyzes their evolution towards diffusive limits.

Findings

Distribution approaches diffusive wire limit with more junctions

Cumulant generating function derived for normal and superconducting states

First three cumulants of charge transfer calculated

Abstract

We find the distribution of transmission eigenvalues in a series of identical junctions between chaotic cavities using the circuit theory of mesoscopic transport. This distribution rapidly approaches the diffusive wire limit as the number of junctions increases, independent of the specific scattering properties of a single junction. The cumulant generating function and the first three cumulants of the charge transfer through the system are obtained both in the normal and in the superconducting state.