Influence of Disorder on Electron-Hole Pair Condensation in Graphene Bilayers

TL;DR

This paper investigates how disorder affects electron-hole pair condensation in graphene bilayers, analyzing critical temperatures and providing criteria for the persistence of superfluid states.

Contribution

It introduces a simple criterion for the survival of pair condensation in disordered graphene bilayers, advancing understanding of disorder effects on superfluidity.

Findings

Disorder reduces critical temperatures for condensation.

A criterion for the survival of pair condensation is established.

Disorder impacts the mean-field and Kosterlitz-Thouless transition temperatures.

Abstract

Graphene bilayers can condense into a state with spontaneous interlayer phase coherence that supports dissipationless counterflow supercurrents. Here we address the influence of disorder on the graphene bilayer mean-field and Kosterlitz-Thouless critical temperatures and report on a simple criteria for the survival of pair condensation.