Randomly Fluctuating Potential Controlled Multistable Resonant Tunneling Current through a Quantum Dot

TL;DR

This paper investigates how a randomly fluctuating potential influences the multistable tunneling current in a quantum dot, revealing control mechanisms based on potential fluctuations and their correlation properties.

Contribution

It introduces a theoretical model showing how finite correlation time in potential fluctuations affects quantum dot current control, a novel approach in quantum transport studies.

Findings

Current exhibits multistability under fluctuating potential.

Stationary current depends on the history of potential fluctuations.

Average current is influenced by fluctuation strength and correlation time.

Abstract

We study the transport through a quantum dot subject to a randomly fluctuating potential, generated by a sequence of pulses in the gate voltage with the help of the autoregressive model. We find that the tunneling current is multistable when the fluctuating potential with a finite correlation time is applied before the non-equilibrium steady state is built up. The non-equilibrium stationary current is heavily dependent on the history of the fluctuating potential during the transient period if the potential has a finite correlation time. Furthermore, the averaged current over the path of the fluctuating potential is a function of its strength and correlation time. Our work therefore provides a robust theoretical proposal for the controlling of the non-equilibrium stationary current through a quantum dot in a randomly fluctuating potential.