Effective Landau Level Diagram of Bilayer Graphene

Abstract

The $E=0$ octet of bilayer graphene in the filling factor range of -4 < $\nu$ < 4 is a fertile playground for many-body phenomena, yet a Landau level diagram is missing due to strong interactions and competing quantum degrees of freedom. We combine measurements and modeling to construct an empirical and quantitative spectrum. The single-particle-like diagram incorporates interaction effects effectively and provides a unified framework to understand the occupation sequence, gap energies and phase transitions observed in the octet. It serves as a new starting point for more sophisticated calculations and experiments.

References in corpus (35)

• Boron nitride substrates for high-quality graphene electronics
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Electronic states and Landau levels in graphene stacks
• Broken symmetry states and divergent resistance in suspended bilayer graphene
• Transport Spectroscopy of Symmetry-Broken Insulating States in Bilayer Graphene
• Interaction-Driven Spectrum Reconstruction in Bilayer Graphene
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Gate-controlled topological conducting channels in bilayer graphene
• Quantum Anomalous Hall State in Bilayer Graphene
• Spin Susceptibility of an Ultra-Low Density Two Dimensional Electron System
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Symmetry breaking of the zero energy Landau level in bilayer graphene
• Evidence for a Spin Phase Transition at ν=0 in Bilayer Graphene
• Resistance Spikes at Transitions between Quantum Hall Ferromagnets
• Local Compressibility Measurements of Correlated States in Suspended Bilayer Graphene
• Chemical Potential and Quantum Hall Ferromagnetism in Bilayer Graphene
• Electron-electron interaction and electron-hole asymmetry in bilayer graphene
• Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
• Lattice Theory of Pseudospin Ferromagnetism in Bilayer Graphene: Competing Orders and Interaction Induced Quantum Hall States
• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• Canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in bilayer graphene
• Direct measurement of discrete valley and orbital quantum numbers in a multicomponent quantum Hall system
• Transport in gapped bilayer graphene: the role of potential fluctuations
• Antiferromagnetic state in bilayer graphene
• Fermions on bilayer graphene: symmetry breaking for B=0 and nu=0
• Many-body corrections to cyclotron resonance in monolayer and bilayer graphene
• Dynamics and phase diagram of the $\nu =0$ quantum Hall state in bilayer graphene
• Robust fractional quantum Hall effect and composite fermions in the $N=2$ Landau level in bilayer graphene
• Quantum Hall ferromagnetic phases in the Landau level N=0 of a graphene bilayer
• Broken-symmetry states and phase diagram of the lowest Landau level in bilayer graphene
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• Energy gaps and layer polarization of integer and fractional quantum Hall states in bilayer graphene
• Transport Measurement of Landau level Gaps in Bilayer Graphene
• Phase diagram of a graphene bilayer in the zero-energy Landau level

Cited by in corpus (26)

• Quantum cascade of new correlated phases in trigonally warped bilayer graphene
• A valley valve and electron beam splitter
• Correlated Insulator and Chern Insulators in Pentalayer Rhombohedral Stacked Graphene
• Tunable quantum anomalous Hall octet driven by orbital magnetism in bilayer graphene
• Quantum Hall Effect Measurement of Spin-Orbit Coupling Strengths in Ultraclean Bilayer Graphene/WSe2 Heterostructures
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• High-Temperature Quantum Valley Hall Effect with Quantized Resistance and a Topological Switch
• Gapless Spin Wave Transport through a Quantum Canted-Antiferromagnet
• Metallic Phase and Temperature Dependence of the $\nu =0$ Quantum Hall State in Bilayer Graphene
• Probing the tunable multi-cone bandstructure in Bernal bilayer graphene
• Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
• Gate-controlled transmission of quantum Hall edge states in bilayer graphene
• Interplay between topological protected valley and quantum Hall edge transport
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Energetics of complex phase diagram in a tunable bilayer graphene probed by quantum capacitance
• Phase diagram of the $\nu =2$ quantum Hall state in bilayer graphene
• Dual-gated hBN/bilayer-graphene superlattices and the transitions between the insulating phases at the charge neutrality point
• Spin-valley Hall transport induced by spontaneous symmetry breaking in half-filled zero Landau level of bilayer graphene
• Landau Levels of Bilayer Graphene in a WSe${}_2$/Bilayer Graphene van der Waals Heterostructure
• Spectroscopic Characterization of Landau Level Splitting and the Intermediate v = 0 Phase in Bilayer Graphene
• Hetero-Orbital Two-Component Fractional Quantum Hall States in Bilayer Graphene
• Realization of graphene logics in an exciton-enhanced insulating phase
• Half-integer thermal conductance in the absence of Majorana mode
• Temperature-induced phase transitions in the quantum Hall magnet of bilayer graphene
• Landau Level Phases in Bilayer Graphene under Pressure at Charge Neutrality
• Infrared spectroscopy of phase transitions in the lowest Landau levels of bilayer graphene