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.

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Cited by in corpus (15)

• Quench dynamics of collective modes in fractional quantum Hall bilayers
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Excitons in the Fractional Quantum Hall Effect
• Origin of the $\nu =1/2$ fractional quantum Hall effect in wide quantum wells
• 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
• Very high-energy collective states of partons in fractional quantum Hall liquids
• Quantum Hall valley Ferromagnets as a platform for topologically protected quantum memory
• Adiabatic Continuity of the Spinful Quantum Hall States
• Interlayer phase coherence and composite fermions
• Dispersion of collective modes in spinful fractional quantum Hall states on the sphere
• Topological states in double monolayer graphene
• Interlayer exciton condensates between second Landau level orbitals in double bilayer graphene