Interlayer coherent composite Fermi liquid phase in quantum Hall bilayers

Abstract

Composite fermions have played a seminal role in understanding the quantum Hall effect, particularly the formation of a compressible `composite Fermi liquid' (CFL) at filling factor nu = 1/2. Here we suggest that in multi-layer systems interlayer Coulomb repulsion can similarly generate `metallic' behavior of composite fermions between layers, even if the electrons remain insulating. Specifically, we propose that a quantum Hall bilayer with nu = 1/2 per layer at intermediate layer separation may host such an interlayer coherent CFL, driven by exciton condensation of composite fermions. This phase has a number of remarkable properties: the presence of `bonding' and `antibonding' composite Fermi seas, compressible behavior with respect to symmetric currents, and fractional quantum Hall behavior in the counterflow channel. Quantum oscillations associated with the Fermi seas give rise to a new series of incompressible states at fillings nu = p/[2(p \pm 1)] per layer (p an integer), which is a bilayer analogue of the Jain sequence.

4 pages, 3 figures

References in corpus (4)

• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Observation of a Fractional Quantum Hall State at $\nu =1/4$ in a Wide GaAs Quantum Well
• Paired composite fermion phase of quantum Hall bilayers at ν= 1/2 + 1/2
• Trial Wavefunctions for ν= 1/2 + 1/2 Quantum Hall Bilayers

Cited by in corpus (27)

• Crossover between Strongly-coupled and Weakly-coupled Exciton Superfluids
• Evidence for pairing states of composite fermions in double-layer graphene
• Composite fermion duality for half-filled multicomponent Landau Levels
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators
• Phase diagram of bismuth in the extreme quantum limit
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Pairing in half-filled Landau level
• Precursors to Exciton Condensation in Quantum Hall Bilayers
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• $s$-wave paired composite-fermion electron-hole trial state for quantum Hall bilayers with $\nu =1$
• Composite Weyl semimetal as a parent state for three dimensional topologically ordered phases
• Excitonic fractional quantum Hall hierarchy in Moiré heterostructures
• Wave Function and Emergent SU(2) Symmetry in ${\nu }_T=1$ Quantum Hall Bilayer
• Gauge Fluctuations and Interlayer Coherence in Bilayer Composite Fermion Metals
• XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer
• Paired states in half-filled Landau levels
• Valley Stoner Instability of the Composite Fermi Sea
• Partial filled Landau Level at even denominator, a vortex metal with Berry phase
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Designing Heterostructures with Higher Temperature Superconductivity
• Symmetry breaking in zero-field two-dimensional electron bilayers
• Quantum Hall bilayer in dipole representation
• Successive electron-vortex binding in quantum Hall bilayers at $\nu =\frac{1}{4}+\frac{3}{4}$
• Single-parameter variational wavefunctions for quantum Hall bilayers
• Large Zeeman Splitting in Out-of-Plane Magnetic Field in a Double-Layer Quantum Point Contact
• Bilayers and quasi-3D stacks of Jain series fractional quantum Hall states from parton construction
• Near-field heat transfer and drag resistance in bilayers of composite fermions