Packing fraction related transport in disordered quantum dot arrays

TL;DR

This paper investigates how the packing fraction influences electrical conduction in disordered quantum dot arrays, identifying a critical threshold that transitions the system from insulator to conductor, supported by simulations and analytical predictions.

Contribution

It provides a quantitative analysis of the critical packing fraction affecting charge transport in disordered quantum dot arrays, integrating computational and theoretical approaches.

Findings

Critical packing fraction (~0.64) induces a transition from non-conducting to conducting state.

Simulation results align with experimental data and analytical models.

Enhanced understanding of transport mechanisms in disordered nanoscale systems.

Abstract

Models to describe electrical conduction in quantum dot (QD) constituted films often overlook the effects of geometric disorder. We address related issues by examining the influence of the QD packing fraction (PF) on the charge transport and transmission in QD arrays. Using transfer matrix based algorithms and Monte Carlo simulations, we quantify the transmission across disordered QD assemblies. Our results indicate a critical packing fraction ($PF_c $) of $\sim$ 0.64, marking a transition from a non-conducting to a conducting state, aligning well with experimental observations and analytical predictions. This study enhances the understanding of transport in QD arrays, with implications for designing efficient electronic devices based on disordered nanoscale systems.