Electronic transport in three-terminal chaotic systems with a tunnel barrier

TL;DR

This paper analyzes quantum electronic transport in three-terminal chaotic systems with a tunnel barrier, providing new semiclassical calculations for transport statistics in regimes inaccessible to traditional methods.

Contribution

It introduces a semiclassical matrix integral approach to compute transport statistics in chaotic systems with tunnel barriers, extending analysis to small channel numbers and broken symmetries.

Findings

Calculated conductance mean and variance in quantum regimes

Analyzed shot-noise power in chaotic systems

Extended results to dephasing regimes

Abstract

We consider the problem of electronic quantum transport through ballistic mesoscopic systems with chaotic dynamics, connected to a three-terminal architecture in which one of the terminals has a tunnel barrier. Using a semiclassical approximation based on matrix integrals, we calculate several transport statistics, such as average and variance of conductance, average shot-noise power, among others, that give access to the extreme quantum regime (small channel numbers in the terminal) for broken and intact time-reversal symmetry, which the traditional random matrix approach does not access. As an application, we treat the dephasing regime.