Dynamic Coulomb blockade in single-lead quantum dots

TL;DR

This paper studies the transient electrical response of a single-lead quantum dot under dynamic voltage driving, revealing how the quantum dot's energy structure influences current behavior.

Contribution

It introduces a hierarchical equations of motion approach to analyze the nonadiabatic transient response of quantum dots under time-dependent driving.

Findings

Transient current exhibits resonance features linked to quantum dot energy levels.

The formalism accurately captures nonlinear and nonadiabatic charging regimes.

Insights into the physical and numerical aspects of the theoretical approach.

Abstract

We investigate transient dynamic response of an Anderson impurity quantum dot to a family of ramp-up driving voltage applied to the single coupling lead. Transient current is calculated based on a hierarchical equations of motion formalism for open dissipative systems [J. Chem. Phys. 128, 234703 (2008)]. In the nonlinear response and nonadiabatic charging regime, characteristic resonance features of transient response current reveal distinctly and faithfully the energetic configuration of the quantum dot. We also discuss and comment on both the physical and numerical aspects of the theoretical formalism used in this work.