Exciton condensation of composite fermions in double layer quantum Hall systems

TL;DR

This paper investigates exciton condensates formed by composite fermions in double layer quantum Hall systems, revealing two types of condensates, their transport signatures, and conditions for their realization in materials like graphene.

Contribution

It introduces two novel types of composite fermion exciton condensates and analyzes their properties, formation conditions, and experimental signatures.

Findings

Two types of composite fermion exciton condensates identified

Transport signatures of these condensates analyzed

Numerical models show realizability in graphene and TMDs

Abstract

We study fractional quantum Hall states in double layer systems that can be interpreted as exciton condensates of composite fermions. An electron in one layer is dressed by two fluxes from the same layer and two fluxes from the other layer to become composite fermions that form effective Landau levels. It is found that two types of composite fermion exciton condensates could occur. In the first type ones, all effective levels are partially occupied and excitonic correlations are present between composite fermions in the same effective level. In the second type ones, composite fermions in the topmost effective levels of the two layers form exciton condensate whereas those in lower effective levels are independent. The electric transport signatures of these states are analyzed. We demonstrate using numerical calculations that some composite fermion exciton condensates can be realized in microscopic models that are relevant for graphene and transition metal dichalcogenides. For a fixed total filling factor, an exciton condensate may only be realized when the electron densities in the two layers belong to a certain range. It is possible that two types of states appear at the same total filling factor in different ranges. These results shed light on recent experimental observations and also suggest some promising future directions.