Disordered electron liquid in double quantum well heterostructures: Renormalization group analysis and dephasing rate

TL;DR

This paper analyzes how electron-electron interactions affect the conductance and dephasing in disordered electron liquids within double quantum well heterostructures, revealing decoupling effects at low temperatures.

Contribution

It provides a renormalization group analysis showing interaction-induced decoupling in double quantum wells, aligning with recent experimental observations.

Findings

Interaction causes decoupling of quantum wells at low temperatures.

Quantitative agreement with recent transport experiments.

Electron-electron interactions significantly influence conductance and dephasing.

Abstract

We report a detailed study of the influence of the electron-electron interaction on physical observables (conductance, etc.) of a disordered electron liquid in double quantum well heterostructure. We find that even in the case of common elastic scattering off electrons in both quantum wells, the asymmetry in the electron-electron interaction across and within quantum wells decouples them at low temperatures. Our results are in quantitative agreement with recent transport experiments on the gated double quantum well Al$_x$Ga$_{1-x}$As/GaAs/Al$_x$Ga$_{1-x}$As heterostructures.