Theoretical investigation of the dynamic electronic response of a quantum dot driven by time-dependent voltage

TL;DR

This paper provides a detailed theoretical analysis of how a noninteracting quantum dot responds dynamically to various time-dependent voltages, using advanced numerical methods to explore transient transport phenomena.

Contribution

It introduces a comprehensive theoretical framework employing hierarchical equations of motion for analyzing quantum dot responses to arbitrary time-dependent voltages.

Findings

Transient transport current behavior characterized in linear and nonlinear regimes.

Equivalent classical circuit model for the quantum dot-lead system discussed.

Numerical simulations demonstrate the formalism's effectiveness for noninteracting systems.

Abstract

We present a comprehensive theoretical investigation on the dynamic electronic response of a noninteracting quantum dot system to various forms of time-dependent voltage applied to the single contact lead. Numerical simulations are carried out by implementing a recently developed hierarchical equations of motion formalism [J. Chem. Phys. 128, 234703 (2008)], which is formally exact for a fermionic system interacting with grand canonical fermionic reservoirs, in the presence of arbitrary time-dependent applied chemical potentials. The dynamical characteristics of the transient transport current evaluated in both linear and nonlinear response regimes are analyzed, and the equivalent classic circuit corresponding to the coupled dot-lead system is also discussed.