Theoretical phase diagram of two-component composite fermions in double layer graphene

Abstract

Theory predicts that double layer systems realize "two-component composite fermions," which are formed when electrons capture both intra- and inter-layer vortices, to produce a wide variety of new strongly correlated liquid and crystal states as a function of the layer separation. Recent experiments in double layer graphene have revealed a large number of layer-correlated fractional quantum Hall states in the lowest Landau level, many of which have not been studied quantitatively in previous theoretical works. We consider the competition between various liquid and crystal states at several of these filling factors (specifically, the states at total filling factors $\nu =3/7$, $4/9$, $6/11$, $4/7$, $3/5$, $2/3$, and $4/5$) to determine the theoretical phase diagram as a function of the layer separation. We compare our results with experiments and identify various observed states. In particular, we show that at small layer separations the states at total fillings $\nu =3/7$ and $\nu =3/5$ are partially pseudospin polarized, where pseudospin refers to the layer index. For certain fractions, such as $\nu =3/7$, interlayer correlations are predicted to survive to surprisingly large interlayer separations.

References in corpus (7)

• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Spinful Composite Fermions in a Negative Effective Field
• Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study
• Prediction of a non-Abelian fractional quantum Hall state with $f$-wave pairing of composite fermions in wide quantum wells
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states

Cited by in corpus (11)

• Quench dynamics of collective modes in fractional quantum Hall bilayers
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Excitons in the Fractional Quantum Hall Effect
• Observation of 1/3 fractional quantum Hall physics in balanced large angle twisted bilayer graphene
• Fractional quantum Hall coexistence phases in higher Landau levels of graphene
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
• Quantum Hall valley Ferromagnets as a platform for topologically protected quantum memory
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Interlayer phase coherence and composite fermions
• Interlayer exciton condensates between second Landau level orbitals in double bilayer graphene
• Topological states in double monolayer graphene