Charge trapping in the system of interacting quantum dots

TL;DR

This paper investigates charge trapping in interacting quantum dots, revealing how geometry and initial conditions influence charge dynamics, and identifies multiple relaxation timescales and suppression of Coulomb correlations as the system size increases.

Contribution

It provides a detailed analysis of charge trapping phenomena in quantum dot systems considering various geometries and initial states, highlighting new insights into relaxation dynamics and Coulomb correlation suppression.

Findings

Charge trapping occurs over a wide parameter range.

QDs geometry can be optimized for experimental observation.

Coulomb correlations diminish as the number of QDs increases.

Abstract

We analyzed the localized charge dynamics in the system of $N$ interacting single-level quantum dots (QDs) coupled to the continuous spectrum states in the presence of Coulomb interaction between electrons within the dots. Different dots geometry and initial charge configurations were considered. The analysis was performed by means of Heisenberg equations for localized electrons pair correlators. We revealed that charge trapping takes place for a wide range of system parameters and we suggested the QDs geometry for experimental observations of this phenomenon. We demonstrated significant suppression of Coulomb correlations with the increasing of QDs number. We found the appearance of several time scales with the strongly different relaxation rates for a wide range of the Coulomb interaction values.