Weak localization in arrays of metallic quantum dots

TL;DR

This paper develops a theoretical framework combining scattering matrix formalism and non-linear sigma-model techniques to analyze weak localization effects and magnetoconductance in arrays of chaotic quantum dots with arbitrary barrier transmissions.

Contribution

It introduces a novel approach to evaluate weak localization and magnetoconductance in complex quantum dot arrays with arbitrary channel transmission distributions.

Findings

Derived expressions for magnetoconductance in two-dot systems.

Extended analysis to N×M arrays of identical quantum dots.

Provided a versatile method applicable to various array configurations.

Abstract

Combining scattering matrix formalism with non-linear $\sigma$-model technique we analyze weak localization effects in arrays of chaotic quantum dots connected via barriers with arbitrary distribution of channel transmissions. With the aid of our approach we evaluate magnetoconductance of two arbitrarily connected quantum dots as well as of $N\times M$ arrays of identical quantum dots.