Non-adiabatic Electron Pumping through Interacting Quantum Dots

TL;DR

This paper introduces a new computational method to analyze non-adiabatic charge transport in interacting quantum dots, capturing transient effects under various driving conditions with high precision.

Contribution

The authors develop an auxiliary-mode expansion technique to simulate time-dependent electronic transport in Coulomb-interacting quantum dots, including non-adiabatic effects.

Findings

Method accurately reproduces adiabatic limit without interactions

Effectively models short voltage pulse-driven pumping

Reveals transient non-adiabatic phenomena in quantum dots

Abstract

We study non-adiabatic charge pumping through single-level quantum dots taking into account Coulomb interactions. We show how a truncated set of equations of motion can be propagated in time by means of an auxiliary-mode expansion. This formalism is capable of treating the time-dependent electronic transport for arbitrary driving parameters. We verify that the proposed method describes very precisely the well-known limit of adiabatic pumping through quantum dots without Coulomb interactions. As an example we discuss pumping driven by short voltage pulses for various interaction strengths. Such finite pulses are particular suited to investigate transient non-adiabatic effects, which may be also important for periodic drivings, where they are much more difficult to reveal.