Transport through a double quantum dot with interdot repulsion

TL;DR

This paper investigates electron transport in a double quantum dot system with interdot and intradot interactions using NRG, revealing conductance behaviors dependent on system parameters and electron configurations.

Contribution

It provides a detailed analysis of conductance in double quantum dots considering interdot hopping and repulsion, using NRG to connect transport properties with electron configurations.

Findings

Conductance in two-terminal configuration is suppressed at small t/Γ and U'/U.

Four-terminal conductance reaches near-unity in certain parameter regimes.

Transport behavior correlates with electron configuration and thermodynamic properties.

Abstract

We study transport through a double quantum dot with interdot hopping $t$, intradot repulsion $U$ and interdot repulsion $U^{\prime}$, using the numerical renormalization group (NRG) method. At half-filling, the conductances in two-terminal series and four-terminal parallel configuration are calculated via two phase shifts for quasi-particles of double quantum dot connected to two noninteracting leads with hybridization strength $\Gamma$. For small values of $t/\Gamma$ and $U^{\prime}/U$, conductance in the two-terminal series configuration is suppressed to almost zero. In this region, plateau of conductance in the four-terminal parallel configuration appears and almost reaches a unitary limit value $4e^{2}/h$ of two conducting modes. For large values of $t/\Gamma$ or $U^{\prime}/U$, both conductances are suppressed to almost zero. The conductance in the two-terminal series configuration almost reaches a unitary limit value $2e^{2}/h$ only around cross-over regions of electron-configuration in double quantum dot. Through the behavior of the local charge and some thermodynamic quantities, we discuss the relation between transport and electron-configuration.