Evidence for pairing states of composite fermions in double-layer graphene

Abstract

Pairing interaction between fermionic particles leads to composite Bosons that condense at low temperature. Such condensate gives rise to long range order and phase coherence in superconductivity, superfluidity, and other exotic states of matter in the quantum limit. In graphene double-layers separated by an ultra-thin insulator, strong interlayer Coulomb interaction introduces electron-hole pairing across the two layers, resulting in a unique superfluid phase of interlayer excitons. In this work, we report a series of emergent fractional quantum Hall ground states in a graphene double-layer structure, which is compared to an expanded composite fermion model with two-component correlation. The ground state hierarchy from bulk conductance measurement and Hall resistance plateau from Coulomb drag measurement provide strong experimental evidence for a sequence of effective integer quantum Hall effect states for the novel two-component composite fermions (CFs), where CFs fill integer number of effective LLs (Lambda-level). Most remarkably, a sequence of incompressible states with interlayer correlation are observed at half-filled Lambda-levels, which represents a new type of order involving pairing states of CFs that is unique to graphene double-layer structure and beyond the conventional CF model.

arXiv comment6 pages, 3 figures. v2 added supplementary material

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• Quantum Hall effects of exciton condensate in topological flat bands
• A novel planar back-gate design to control the carrier concentrations in GaAs-based double quantum wells
• Biasing topological charge injection in topological matter
• Electron pairing with gapless excitations in mixed double layers
• Two-component parton fractional quantum Hall state in graphene
• Next-level composite fermions
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• Successive electron-vortex binding in quantum Hall bilayers at $\nu =\frac{1}{4}+\frac{3}{4}$
• Halperin $(m^{\prime },m,n)$ fractional quantum Hall effect in topological flat bands
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Exactly Solvable Hamiltonian for Non-Abelian Quasiparticles
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• Interlayer-correlated fractional quantum Hall state in a trilayer electron system
• Interlayer exciton condensates between second Landau level orbitals in double bilayer graphene
• Cascade of fractional quantum Hall states in 2D system
• Near-field heat transfer and drag resistance in bilayers of composite fermions
• Topological states in double monolayer graphene
• Bilayer Quantum Hall States in an n-type Wide Tellurium Quantum Well