Optimization of quantized charge pumping using full counting statistics

TL;DR

This paper uses full counting statistics and Floquet theory to optimize single-electron charge pumps, enhancing their performance and frequency range for quantized current production.

Contribution

It introduces a theoretical framework combining Floquet theory and Berry curvature analysis to optimize charge pump operation at high frequencies.

Findings

Significant increase in quantized current frequencies predicted.

Optimization of driving parameters enhances device performance.

Framework applicable to real-world charge pumping technology.

Abstract

We optimize the operation of single-electron charge pumps using full counting statistics techniques. To this end, we evaluate the statistics of pumped charge on a wide range of driving frequencies using Floquet theory, focusing here on the current and the noise. For charge pumps controlled by one or two gate voltages, we demonstrate that our theoretical framework may lead to enhanced device performance. Specifically, by optimizing the driving parameters, we predict a significant increase in the frequencies for which a quantized current can be produced. For adiabatic two-parameter pumps, we exploit that the pumped charge and the noise can be expressed as surface integrals over Berry curvatures in parameter space. Our findings are important for the efforts to realize high-frequency charge pumping, and our predictions may be verified using current technology.