Spontaneous interlayer exciton coherence in quantum Hall bilayers at nu=1 and nu=2: a tutorial

TL;DR

This tutorial reviews the physics of quantum Hall bilayers at filling factors nu=1 and nu=2, focusing on interlayer exciton coherence and the associated theoretical descriptions of exciton condensates.

Contribution

It provides a comprehensive overview of the interlayer coherent states in quantum Hall bilayers, emphasizing the exciton condensate perspective at nu=1 and nu=2.

Findings

Interlayer coherence at nu=1 and nu=2 described as exciton condensates

Discussion of theoretical models for interlayer coherent states

Focus on low or zero tunnelling regimes in quantum Hall bilayers

Abstract

This tutorial paper reviews some of the physics of quantum Hall bilayers with a focus on the case where there is low or zero tunnelling between the two layers. We describe the interlayer coherent states at filling factors nu=1 and nu=2 as exciton condensates and discuss some of the theory associated with these states.