Energetics of complex phase diagram in a tunable bilayer graphene probed by quantum capacitance

Abstract

Bilayer graphene provides a unique platform to explore the rich physics in quantum Hall effect. The unusual combination of spin, valley and orbital degeneracy leads to interesting symmetry broken states with electric and magnetic field. Conventional transport measurements like resistance measurements have been performed to probe the different ordered states in bilayer graphene. However, not much work has been done to directly map the energetics of those states in bilayer graphene. Here, we have carried out the magneto capacitance measurements with electric and magnetic field in a hexagonal boron nitride encapsulated dual gated bilayer graphene device. At zero magnetic field, using the quantum capacitance technique we measure the gap around the charge neutrality point as a function of perpendicular electric field and the obtained value of the gap matches well with the theory. In presence of perpendicular magnetic field, we observe Landau level crossing in our magneto-capacitance measurements with electric field. The gap closing and reopening of the lowest Landau level with electric and magnetic field shows the transition from one ordered state to another one. Further more we observe the collapsing of the Landau levels near the band edge at higher electric field ($\bar{D}>0.5$ V/nm), which was predicted theoretically. The complete energetics of the Landau levels of bilayer graphene with electric and magnetic field in our experiment paves the way to unravel the nature of ground states of the system.

References in corpus (44)

• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• The electronic properties of bilayer graphene
• Electronic states and Landau levels in graphene stacks
• Ab Initio Theory of Gate Induced Gaps in Graphene Bilayers
• Coulomb-driven broken-symmetry states in doubly gated suspended bilayer graphene
• 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
• Interaction phenomena in graphene seen through quantum capacitance
• Many-body instability of Coulomb interacting bilayer graphene: RG approach
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Quantum Anomalous Hall State in Bilayer Graphene
• Dynamical Screening and Ferroelectric-type Excitonic Instability in Bilayer Graphene
• Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
• Spin Susceptibility of an Ultra-Low Density Two Dimensional Electron System
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Spontaneously gapped ground state in suspended 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
• Quantum capacitance and density of states of graphene
• Electronic compressibility of layer polarized bilayer graphene
• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in 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
• Measurement of the electronic compressibility of bilayer graphene
• Antiferromagnetic state in bilayer graphene
• Edge excitations of the canted antiferromagnetic phase of the $\nu =0$ quantum Hall state in graphene: a simplified analysis
• Distinguishing Spontaneous Quantum Hall States in Graphene Bilayers
• Spin-Polarized to Valley-Polarized Transition in Graphene Bilayers at $\nu =0$ in High Magnetic Fields
• Gap state analysis in electric-field-induced band gap for bilayer graphene
• Broken-symmetry $\nu =0$ quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
• Effective Landau Level Diagram of Bilayer Graphene
• Magnetoelectric coupling, Berry phase, and Landau level dispersion in a biased bilayer graphene
• Spin Symmetry of the Bilayer Graphene Groundstate
• Distinct Competing Ordered ν=2 States in Bilayer Graphene
• Field induced quantum-Hall ferromagnetism in suspended bilayer graphene
• Intra-Landau level magnetoexcitons and the transition between quantum Hall states in undoped bilayer graphene
• Layer Antiferromagnetic State in Bilayer Graphene : A First-Principle Investigation
• Lifting of the Landau level degeneracy in graphene devices in a tilted magnetic field
• Transport Measurement of Landau level Gaps in Bilayer Graphene
• Probing 2D Black Phosphorus by Quantum Capacitance Measurements
• Large Landau level splitting with tunable one-dimensional graphene superlattice probed by magneto capacitance measurements

Cited by in corpus (2)

• Enhanced electron-phonon coupling in doubly aligned hexagonal boron nitride bilayer graphene heterostructure
• Absence of heat flow in ν = 0 quantum Hall ferromagnet in bilayer graphene