Enhanced Conductance Through Side-Coupled Double Quantum Dots

TL;DR

This paper investigates the electronic transport and quantum states in a system of two side-coupled quantum dots using advanced numerical techniques, revealing various regimes and effects including Kondo phenomena and Fano resonances.

Contribution

It introduces improved spectral density calculations with density-matrix NRG and provides analytical expressions for Kondo-related parameters, enhancing understanding of quantum dot systems.

Findings

Identification of multiple quantum regimes including Kondo and valence-fluctuating states

Development of spectral density calculation methods that resolve previous inconsistencies

Analytical formulas for Kondo temperature and regime widths

Abstract

Conductance, on-site and inter-site charge fluctuations and spin correlations in the system of two side-coupled quantum dots are calculated using the Wilson's numerical renormalization group (NRG) technique. We also show spectral density calculated using the density-matrix NRG, which for some parameter ranges remedies inconsistencies of the conventional approach. By changing the gate voltage and the inter-dot tunneling rate, the system can be tuned to a non-conducting spin-singlet state, the usual Kondo regime with odd number of electrons occupying the dots, the two-stage Kondo regime with two electrons, or a valence-fluctuating state associated with a Fano resonance. Analytical expressions for the width of the Kondo regime and the Kondo temperature are given. We also study the effect of unequal gate voltages and the stability of the two-stage Kondo effect with respect to such perturbations.