Transport of interacting electrons in arrays of quantum dots and diffusive wires

TL;DR

This paper presents a comprehensive theoretical framework for understanding how Coulomb interactions influence electron transport in arrays of quantum dots and diffusive wires, linking shot noise to interaction effects.

Contribution

It introduces a new Langevin-type approach based on real time path integrals, unifying and extending previous results on interaction corrections in mesoscopic conductors.

Findings

Derived a general expression for the Fano factor in 1D quantum dot arrays.

Established a complete formula for interaction correction to current.

Unified previous perturbative results and extended to new regimes.

Abstract

We develop a detailed theoretical investigation of the effect of Coulomb interaction on electron transport in arrays of chaotic quantum dots and diffusive metallic wires. Employing the real time path integral technique we formulate a new Langevin-type of approach which exploits a direct relation between shot noise and interaction effects in mesoscopic conductors. With the aid of this approach we establish a general expression for the Fano factor of 1D quantum dot arrays and derive a complete formula for the interaction correction to the current which embraces all perturbative results previously obtained for various quasi-0D and quasi-1D disordered conductors and extends these results to yet unexplored regimes.