Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene

Abstract

The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The unique combination of spin, valley, and orbital degeneracies in bilayer graphene is predicted to produce novel and tunable FQH ground states. Here we present local electronic compressibility measurements of the FQH effect in the lowest Landau level of bilayer graphene. We observe incompressible FQH states at filling factors v = 2p + 2/3 with hints of additional states appearing at v = 2p + 3/5, where p = -2,-1, 0, and 1. This sequence of states breaks particle-hole symmetry and instead obeys a v --> v + 2 symmetry, which highlights the importance of the orbital degeneracy for many-body states in bilayer graphene.

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Cited by in corpus (66)

• Electronic properties of graphene-based bilayer systems
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• Quantum Hall Drag of Exciton Superfluid in Graphene
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Even denominator fractional quantum Hall state in bilayer graphene
• Quantum cascade of new correlated phases in trigonally warped bilayer graphene
• Composite Fermions and Broken Symmetries in Graphene
• Charge inversion and topological phase transition at a twist angle induced van Hove singularity of bilayer graphene
• Direct measurement of discrete valley and orbital quantum numbers in a multicomponent quantum Hall system
• Majorana Zero Modes in Graphene
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Quantitative transport measurements of fractional quantum Hall energy gaps in edgeless graphene devices
• Insulating state in tetralayers reveals an even-odd interaction effect in multilayer graphene
• Integer and Fractional Quantum Hall effect in Ultra-high Quality Few-layer Black Phosphorus Transistors
• Composite fermion duality for half-filled multicomponent Landau Levels
• Quantum signature of exciton condensation
• Effective Landau Level Diagram of Bilayer Graphene
• Robust fractional quantum Hall effect and composite fermions in the $N=2$ Landau level in bilayer graphene
• Imprint of topological degeneracy in quasi-one-dimensional fractional quantum Hall states
• Anisotropic Strain Induced Soliton Movement Changes Stacking Order and Bandstructure of Graphene Multilayers
• Experimental Observation of Surface States and Landau Levels Bending in Bilayer Graphene
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
• High-magnetic-field Tunneling Spectra of ABC-Stacked Trilayer Graphene
• Single-electron Transport in Graphene-like Nanostructures
• Interaction-induced insulating state in thick multilayer graphene
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
• Energy gaps and layer polarization of integer and fractional quantum Hall states in bilayer graphene
• Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers
• Anomalous Dirac point transport due to extended defects in bilayer graphene
• Strong-coupling phases of trions and excitons in electron-hole bilayers at commensurate densities
• Equilibration of Quantum hall edges in symmetry broken bilayer graphene
• Thermal Transport Signatures of Broken-Symmetry Phases in Graphene
• Gate-controlled transmission of quantum Hall edge states in bilayer graphene
• Landau quantization of multilayer graphene on a Haldane sphere
• Tunable Quantum Hall Edge Conduction in Bilayer Graphene through Spin-Orbit Interaction
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Broken-Symmetry Quantum Hall States in Twisted Bilayer Graphene
• Single-Carrier Transport in Graphene/hBN Superlattices
• Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy
• Energetics of complex phase diagram in a tunable bilayer graphene probed by quantum capacitance
• Orbitally controlled quantum Hall states in decoupled two-bilayer graphene sheets
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• Ground-state properties of electron-electron biwire systems
• Landau Levels of Bilayer Graphene in a WSe${}_2$/Bilayer Graphene van der Waals Heterostructure
• Competing Laughlin state and Wigner crystal in bilayer graphene
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Two-component parton fractional quantum Hall state in graphene
• Tunable plasmon modes in doped AA-stacked bilayer graphene
• Spectroscopic Characterization of Landau Level Splitting and the Intermediate v = 0 Phase in Bilayer Graphene
• Probing the fractional quantum Hall phases in valley-layer locked bilayer MoS${}_2$
• Effects of domain walls in bilayer graphene in an external magnetic field
• Interaction-driven capacitance in Graphene electron-hole double layer in the quantum Hall regime
• Many-body effects, orbital mixing and cyclotron resonance in bilayer graphene
• Spontaneous charge-ordered state in Bernal-stacked bilayer graphene
• Electronic and Spin-Orbit Properties of hBN Encapsulated Bilayer Graphene
• Infrared spectroscopy of phase transitions in the lowest Landau levels of bilayer graphene
• Enhancement in tunneling density of states in Luttinger liquid -- role of non-local interaction
• Strongly interacting Hofstadter states in magic-angle twisted bilayer graphene
• Fractional quantum Hall effect in bilayer graphene beyond the single Landau level approximation
• Spatial variation of energy gap and Landau levels around gapped bilayer graphene domain walls
• Topological correlations and breaking of fermionic antisymmetry of electrons in FQHE
• Electron-positron planar orbits in a constant magnetic field
• Study of polarization of even-denominator fractional quantum Hall states in SU(4) Graphene
• Topological states in double monolayer graphene