Mesoscopic Fluctuations of Adiabatic Charge Pumping in Quantum Dots

TL;DR

This paper investigates the mesoscopic fluctuations in adiabatic charge pumping through quantum dots, revealing sensitivity to system configuration and magnetic field, and providing a correlation function for the pumped charge.

Contribution

It introduces a new correlation function for the pumped charge and challenges previous assumptions about magnetic field symmetry in quantum dot charge pumping.

Findings

Charge fluctuations are highly sensitive to dot configuration and magnetic field.

The correlation function for the pumped charge is derived for arbitrary perturbation strength.

At strong perturbations, the charge variance scales with the contour length in parameter space.

Abstract

We consider the adiabatic charge transport through zero-dimensional mesoscopic sample (quantum dot) caused by two periodically changing external perturbations. Both the magnitude and the sign of the transmitted charge are extremely sensitive to the configuration of the dot and to the magnetic field. We find the correlation function characterizing the random value of this pumped charge for arbitrary strength of the perturbation. In contrast to previous theoretical and experimental claims, the charge is found not to have any symmetry with respect to the inversion of magnetic field. At strong pumping perturbation, the variance of the charge $<Q^2>$ is found to be proportional to the length of the contour in parametric space.