# Magnetoconductance oscillations in metallic rings and decoherence due to electron-electron interaction

## TL;DR

This paper investigates how quantum transport nonlocality and electron-electron interaction-induced decoherence influence magnetoconductance oscillations in metallic ring chains, revealing geometry-dependent effects on weak localization.

## Contribution

It introduces a detailed analysis of nonlocal quantum effects and electron-electron interaction decoherence in different metallic ring geometries, expanding understanding of weak localization phenomena.

## Key findings

- Nonlocality significantly alters magnetoconductance harmonic behavior.
- Geometry affects the impact of electron-electron interaction on decoherence.
- Different ring configurations exhibit distinct weak localization responses.

## Abstract

We study weak localization in chains of metallic rings. We show than nonlocality of quantum transport can drastically affect the behaviour of the harmonics of magnetoconductance oscillations. Two different geometries are considered: the case of rings separated by long wires compared to the phase coherence length and the case of contacted rings. In a second part we discuss the role of decoherence due to electron-electron interaction in these two geometries.