Composite Dirac fermions in graphene

TL;DR

This paper explores the emergence of composite Dirac fermions in graphene's quantum Hall states, proposing new compressible and incompressible states related to fractional and integer fillings, extending the understanding of relativistic quantum Hall phenomena.

Contribution

It generalizes the concept of composite fermions to pseudo-relativistic graphene, predicting new quantum Hall states and pairing mechanisms at various filling factors.

Findings

Prediction of compressible states at filling factors -3/2, -1/2, 1/2, 3/2

Extension to incompressible states as integer quantum Hall effect of composite Dirac fermions

Possible spin-singlet pairing at filling factors -1, 0, 1

Abstract

Generalizing the notion of composite fermions to the "pseudo-relativistic" Quantum Hall phenomena in graphene, we discuss a possible emergence of compressible states at the filling factors -3/2, -1/2, 1/2, 3/2. This analysis is further extended to the nearby incompressible states viewed as the Integer Quantum Hall Effect of the composite Dirac fermions, as well as those that might occur at the filling factors -1, 0, 1 as a result of the (pseudo)spin-singlet pairing between them.