Evidence for a topological "exciton Fermi sea" in bilayer graphene

Abstract

The quantum Hall physics of bilayer graphene is extremely rich due to the interplay between a layer degree of freedom and delicate fractional states. Recent experiments show that when an electric field perpendicular to the bilayer causes Landau levels of opposing layers to cross in energy, a even-denominator Hall plateau can coexist with a finite density of inter-layer excitons. We present theoretical and numerical evidence that this observation is due to a new phase of matter -- a Fermi sea of topological excitons.

14 pages, 13 figures; related to arXiv:1611.01171. v2: fixed typo in Eq 3 and IQHE exciton dispersion relation

References in corpus (10)

• The electronic properties of bilayer graphene
• Excitonic superfluid phase in Double Bilayer Graphene
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Even denominator fractional quantum Hall state in bilayer graphene
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Direct measurement of discrete valley and orbital quantum numbers in a multicomponent quantum Hall system
• Mixed-valence insulators with neutral Fermi surfaces
• Neutral Fermion Excitations in the Moore-Read state at ν=5/2
• Numerical Calculation of the Neutral Fermion Gap at $\nu =5/2$
• Topological exciton Fermi surfaces in two-component fractional quantized Hall insulators

Cited by in corpus (9)

• Skyrmion Superconductivity: DMRG evidence for a topological route to superconductivity
• A cascade of phase transitions in an orbitally mixed half-filled Landau level
• Symmetry of superconducting correlations in displaced bilayers of graphene
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• Topological exciton Fermi surfaces in two-component fractional quantized Hall insulators
• Doping a Mott insulator with excitons in moiré bilayer: fractional superfluid, neutral Fermi surface and Mott transition
• Josephson effect in graphene bilayers with adjustable relative displacement
• Correlated Topological Mixed-Valence Insulators in Moiré Hetero-Bilayers
• Unlocking new regimes in fractional quantum Hall effect with quaternions