Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene

Abstract

We investigate low-temperature magneto-transport in recently developed, high-quality multi-terminal suspended bilayer graphene devices, enabling the independent measurement of the longitudinal and transverse resistance. We observe clear signatures of the fractional quantum Hall effect, with different states that are either fully developed, and exhibit a clear plateau in the transverse resistance with a concomitant dip in longitudinal resistance, or incipient, and exhibit only a longitudinal resistance minimum. All observed states scale as a function of filling factor nu, as expected. An unprecedented even-denominator fractional state is observed at nu = -1/2 on the hole side, exhibiting a clear plateau in Rxy quantized at the expected value of 2h/e^2 with a precision of ~0.5%. Many of our observations, together with a recent electronic compressibility measurement performed in graphene bilayers on hexagonal boron-nitride (hBN) substrates, are consistent with a recent theory that accounts for the effect of the degeneracy between the N=0 and N=1 Landau levels in the fractional quantum Hall effect, and predicts the occurrence of a Moore-Read type nu = -1/2 state. Owing to the experimental flexibility of bilayer graphene --which has a gate-dependent band structure, can be easily accessed by scanning probes, and can be contacted with materials such as superconductors--, our findings offer new possibilities to explore the microscopic nature of even-denominator fractional quantum Hall effect.

16 pages, 4 figures, appear in Nano Letters (Article ASAP)

References in corpus (14)

• The electronic properties of graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Multicomponent fractional quantum Hall effect in graphene
• Observation of neutral modes in the fractional quantum Hall regime
• Evidence for a Spin Phase Transition at ν=0 in Bilayer Graphene
• Spin transport in high quality suspended graphene devices
• Intra-Landau level Cyclotron Resonance in Bilayer Graphene
• Competing Nematic, Anti-ferromagnetic and Spin-flux orders in the Ground State of Bilayer Graphene
• The Two-flux Composite Fermion Series of Fractional Quantum Hall States in Strained Si
• Topological Phases in the Zeroth Landau Level of Bilayer Graphene
• Controllable, driven phase transitions in the Fractional quantum Hall states in bilayer graphene
• Charge 2e skyrmions in bilayer graphene
• Fractional quantum Hall effects in bilayers in the presence of inter-layer tunneling and charge imbalance
• High-quality multi-terminal suspended graphene devices

Cited by in corpus (91)

• Electronic properties of graphene-based bilayer systems
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• 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
• Cascade of isospin phase transitions in Bernal bilayer graphene at zero magnetic field
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
• Charge inversion and topological phase transition at a twist angle induced van Hove singularity of bilayer graphene
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• High quality magnetotransport in graphene using the edge-free Corbino geometry
• Fractional charge and fractional statistics in the quantum Hall effects
• Hunting for Majoranas
• Helical quantum Hall phase in graphene on SrTiO${}_3$
• Tunable quantum anomalous Hall octet driven by orbital magnetism in bilayer graphene
• Odd- and even-denominator fractional quantum Hall states in monolayer WSe${}_2$
• Electron-hole collision limited transport in charge-neutral bilayer graphene
• Reliable postprocessing improvement of van der Waals heterostructures
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• The Effects of Landau level mixing on the fractional quantum Hall effect in monolayer Graphene
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Transport spectroscopy of ultraclean tunable band gaps in bilayer 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
• Floquet Mechanism for Non-Abelian Fractional Quantum Hall States
• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• A cascade of phase transitions in an orbitally mixed half-filled Landau level
• A Family of Finite-Temperature Electronic Phase Transitions in Graphene Multilayers
• Effective Landau Level Diagram of Bilayer Graphene
• Robust fractional quantum Hall effect and composite fermions in the $N=2$ Landau level in bilayer graphene
• Anisotropic Strain Induced Soliton Movement Changes Stacking Order and Bandstructure of Graphene Multilayers
• Even-denominator Fractional Quantum Hall Effect at a Landau Level Crossing
• Imaging anyons with scanning tunneling microscopy
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Direct Visualization of Native Defects in Graphite and Their Effect on the Electronic Properties of Bernal-Stacked Bilayer Graphene
• Composite-fermion pairing at half and quarter filled lowest Landau level
• Interaction-induced insulating state in thick multilayer graphene
• Higher vortexability: zero field realization of higher Landau levels
• Numerical Study of Quantum Hall Bilayers at Total Filling ${\nu }_T=1$: A New Phase at Intermediate Layer Distances
• Robust Interlayer-Coherent Quantum Hall States in Twisted Bilayer Graphene
• High-Resolution Tunneling Spectroscopy of Fractional Quantum Hall States
• Widely Tunable Quantum Phase Transition from Moore-Read to Composite Fermi Liquid in Bilayer Graphene
• $\nu =1/2$ Fractional Quantum Hall Effect in Tilted Magnetic Fields
• Energy gaps and layer polarization of integer and fractional quantum Hall states in bilayer graphene
• Transport in bilayer graphene near charge neutrality: Which scattering mechanisms are important?
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers
• Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS
• The Pfaffian state in an electron gas with small Landau level gaps
• Spectroscopic Signatures of Electronic Excitations in Raman Scattering in Thin Films of Rhombohedral Graphite
• Aspects of Three-body Interactions in Generic Fractional Quantum Hall Systems and Impact of Galilean Invariance Breaking
• Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
• Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
• Topological exciton Fermi surfaces in two-component fractional quantized Hall insulators
• Gate-controlled transmission of quantum Hall edge states in bilayer graphene
• Quantum Boltzmann equation for bilayer graphene
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Landau quantization of multilayer graphene on a Haldane sphere
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• Evidence for a topological "exciton Fermi sea" in bilayer graphene
• Broken-Symmetry Quantum Hall States in Twisted Bilayer Graphene
• Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Identifying non-Abelian anyons with upstream noise
• Orbitally controlled quantum Hall states in decoupled two-bilayer graphene sheets
• A micro-magneto-Raman scattering study of graphene on a bulk graphite substrate
• Forbidden trajectories for path integrals
• 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
• Ultraclean two-dimensional hole systems with mobilities exceeding 10${}^7$ cm${}^2$/Vs
• Spectroscopic Characterization of Landau Level Splitting and the Intermediate v = 0 Phase in Bilayer Graphene
• Two-component parton fractional quantum Hall state in graphene
• Exciton Condensation in Quantum Hall Bilayers at Total Filling ${\nu }_T=5$
• Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
• Quantum Hall ferroelectric helix in bilayer graphene
• Fractional quantum Hall state at $\nu =1/2$ with energy gap up to 6 K, and possible transition from one- to two-component state
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Non-Abelian phases from the condensation of Abelian anyons
• Electronic and Spin-Orbit Properties of hBN Encapsulated Bilayer Graphene
• Enhancement in tunneling density of states in Luttinger liquid -- role of non-local interaction
• Non-Abelian topological order with SO(5)${}_1$ chiral edge states
• Even-denominator fractional quantum Hall states with spontaneously broken rotational symmetry
• Topological states in double monolayer graphene
• Even-denominator fractional quantum Hall states in the zeroth Landau level of ABA trilayer graphene