Scattering approach to parametric pumping

TL;DR

This paper develops a scattering matrix-based formula to analyze quantum dot parametric pumping, relating pumped current to parameter derivatives, and applies it to chaotic quantum dots to study current distribution.

Contribution

It introduces a new formula linking pumped current to scattering matrix derivatives and applies it to chaotic quantum dots for statistical analysis.

Findings

Derived a formula connecting pumped current to scattering matrix derivatives.

Computed the statistical distribution of pumped current in chaotic quantum dots.

Provided insights into quantum pumping mechanisms in mesoscopic systems.

Abstract

A d.c. current can be pumped through a quantum dot by periodically varying two independent parameters $X_1$ and $X_2$, like a gate voltage or magnetic field. We present a formula that relates the pumped current to the parametric derivatives of the scattering matrix $S(X_1,X_2)$ of the system. As an application we compute the statistical distribution of the pumped current in the case of a chaotic quantum dot.