Even denominator fractional quantum Hall state in bilayer graphene

Abstract

The multi-component nature of bilayer graphene (BLG), together with the ability to controllably tune between the various ground state orders, makes it a rich system in which to explore interaction driven phenomena. In the fractional quantum Hall effect (FQHE) regime, the unique Landau level spectrum of BLG is anticipated to support a non-Abelian even-denominator state that is tunable by both electric and magnetic fields. However, observation of this state, which is anticipated to be stronger than in conventional systems, has been conspicuously difficult. Here we report transport measurements of a robust even denominator FQHE in high-mobility, dual gated BLG devices. We confirm that the stability of the energy gap can be sensitively tuned and map the phase diagram. Our results establish BLG as a dynamic new platform to study topological ground states with possible non-Abelian excitations.

arXiv comment6 pages, 4 figures. v2, a typo has been corrected

References in corpus (31)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Coulomb-driven broken-symmetry states in doubly gated suspended bilayer graphene
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Quasiholes and fermionic zero modes of paired fractional quantum Hall states: the mechanism for nonabelian statistics
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Theory of the Fabry-Perot Quantum Hall Interferometer
• Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
• The Effect of Landau Level-Mixing on the Effective Interaction between Electrons in the fractional quantum Hall regime
• Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• A Stable Pfaffian State in Bilayer Graphene
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• Topological Phases in the Zeroth Landau Level of Bilayer Graphene
• Controllable, driven phase transitions in the Fractional quantum Hall states in bilayer graphene
• Tunable interactions and phase transitions in Dirac materials in a magnetic field
• The enigmatic 12/5 fractional quantum Hall effect
• Importance of interband transitions for the fractional quantum Hall effect in bilayer graphene

Cited by in corpus (99)

• Tuning electron correlation in magic-angle twisted bilayer graphene using Coulomb screening
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Electrostatically induced quantum point contact in bilayer graphene
• High quality magnetotransport in graphene using the edge-free Corbino geometry
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• Fractional charge and fractional statistics in the quantum Hall effects
• Hunting for Majoranas
• Aharonov Bohm Effect in Graphene Fabry Pérot Quantum Hall Interferometers
• Odd- and even-denominator fractional quantum Hall states in monolayer WSe${}_2$
• Gate-defined electron-hole double dots in bilayer graphene
• Reliable postprocessing improvement of van der Waals heterostructures
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• Andreev reflection in the fractional quantum Hall state
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in 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
• Quantum Hall Effect in Electron-Doped Black Phosphorus Field-Effect Transistors
• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
• A cascade of phase transitions in an orbitally mixed half-filled Landau level
• Commensurability Oscillations in One-Dimensional Graphene Superlattices
• A Family of Finite-Temperature Electronic Phase Transitions in Graphene Multilayers
• Bound States in the Continuum in Bilayer Photonic Crystal with TE-TM Cross-Coupling
• Electron spin resonance and collective excitations in magic-angle twisted bilayer graphene
• Imaging anyons with scanning tunneling microscopy
• Strong magnetophonon oscillations in extra-large graphene
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• Optical sensing of fractional quantum Hall effect in graphene
• Anyon braiding and telegraph noise in a graphene interferometer
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Electron-Electron Interactions and the Paired-to-Nematic Quantum Phase Transition in the Second Landau Level
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Nanoscale electrostatic control in ultra clean van der Waals heterostructures by local anodic oxidation of graphite gates
• 3/2 Fractional Quantum Hall Plateau in Confined Two-Dimensional Electron Gas
• Unconventional anisotropic even-denominator fractional quantum Hall state in a system with mass anisotropy
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Higher vortexability: zero field realization of higher Landau levels
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
• Robust Interlayer-Coherent Quantum Hall States in Twisted Bilayer Graphene
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Tracing non-Abelian anyons via impurity particles
• Strongly coupled edge states in a graphene quantum Hall interferometer
• Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS
• Finite Temperature Behavior in the Second Landau Level of the Two-dimensional Electron Gas
• Collective excitations at filling factor 5/2: The view from superspace
• Nanospot Angle-Resolved Photoemission Study of Bernal-Stacked Bilayer Graphene on Hexagonal Boron Nitride: Band Structure and Local Variation of Lattice Alignment
• Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
• Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
• Gate-controlled transmission of quantum Hall edge states in bilayer graphene
• Evidence for a topological "exciton Fermi sea" in bilayer graphene
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• Local density of states and particle entanglement in topological quantum fluids
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• An Anomalous Reentrant 5/2 Quantum Hall Phase at Moderate Landau-Level-Mixing Strength
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Dual-gated hBN/bilayer-graphene superlattices and the transitions between the insulating phases at the charge neutrality point
• Identifying non-Abelian anyons with upstream noise
• Orbitally controlled quantum Hall states in decoupled two-bilayer graphene sheets
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Interplay of valley, layer and band topology towards interacting quantum phases in moiré bilayer graphene
• Evidence for flat zero-energy bands in bilayer graphene with a periodic defect lattice
• Highly-Anisotropic Even-Denominator Fractional Quantum Hall State in an Orbitally-Coupled Half-Filled Landau Level
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Competing Laughlin state and Wigner crystal in bilayer graphene
• Phase diagram of compressible and paired states in the quarter-filled Landau level
• Incompressible Even Denominator Fractional Quantum Hall States in the Zeroth Landau Level of Monolayer Graphene
• Spectroscopic Characterization of Landau Level Splitting and the Intermediate v = 0 Phase in Bilayer Graphene
• Critical Majorana fermion at a topological quantum Hall bilayer transition
• Two-component parton fractional quantum Hall state in graphene
• Probing the fractional quantum Hall phases in valley-layer locked bilayer MoS${}_2$
• Observability of cyclotron resonance in the hydrodynamic regime of bilayer graphene
• Quantum Hall ferroelectric helix in bilayer graphene
• Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
• Edge channel confinement in a bilayer graphene $n$-$p$-$n$ quantum dot
• Hetero-Orbital Two-Component Fractional Quantum Hall States in Bilayer Graphene
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Non-Abelian phases from the condensation of Abelian anyons
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Nematic Enhancement of Superconductivity in Multilayer Graphene via Quantum Geometry
• Even-denominator fractional quantum Hall states with spontaneously broken rotational symmetry
• Hexagonal boron nitride/bilayer graphene moiré superlattices in the Dirac-material family: energy-band engineering and carrier doping by dual gating
• Non-Abelian topological order with SO(5)${}_1$ chiral edge states
• Strongly interacting Hofstadter states in magic-angle twisted bilayer graphene
• Anomalous Transport Gaps of Fractional Quantum Hall Phases in Graphene Landau Levels are Induced by Spin-Valley Entangled Ground States
• Interplay of superconducting, metallic, and crystalline states of composite fermions at $\nu =1/6$ in wide quantum wells
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Interlayer exciton condensates between second Landau level orbitals in double bilayer graphene
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
• Landau level spectroscopy in current solid state physics
• Cascade of fractional quantum Hall states in 2D system
• Composite fermions and parton wavefunctions in twisted graphene on hexagonal boron nitride
• Topological states in double monolayer graphene