Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
arXiv:2207.05369 · doi:10.1021/acs.nanolett.2c05004
Abstract
The charge and exchange statistics of an elementary excitation manifest in quantum coherent oscillations that can be explored in interferometry measurements. Quantum Hall interferometers are primary tools to uncover unconventional quantum statistics associated with fractional and non-Abelian anyons of a two-dimensional system, the latter being the foundation of topological quantum computing. Graphene interferometers offer new avenues to explore the physics of exotic excitations due to their relatively small charging energies and sharp confinement potentials. Bilayer graphene possesses a true band gap to facilitate the formation of quantum confinement and exhibits the most robust even-denominator fractional quantum Hall states that may host non-Abelian anyons. Here we present the design and fabrication of a split-gated bilayer graphene Fabry-Pérot interferometer and experimental evidence of Aharonov-Bohm interference at multiple integer quantum Hall states. The versatility of the device allows us to study a wide range of scenarios, determine the velocities of edge states, and assess dephasing mechanisms of the interferometer. These results pave the way to the quest of non-Abelian statistics in this promising device platform.
arXiv comment14 pages, 3 figures, and 2 tables
References in corpus (46)
- Non-Abelian Anyons and Topological Quantum Computation
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Fractional statistics in anyon collisions
- Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
- Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
- 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
- Gate-controlled topological conducting channels in bilayer graphene
- Even denominator fractional quantum Hall state in bilayer graphene
- A valley valve and electron beam splitter
- Theory of the Fabry-Perot Quantum Hall Interferometer
- Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
- The Role of Interactions in an Electronic Fabry-Perot Interferometer Operating in the Quantum Hall Effect Regime
- Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
- Local Thermometry of Neutral Modes on the Quantum Hall Edge
- Reconstruction of Fractional Quantum Hall Edges
- Aharonov-Bohm interference of fractional quantum Hall edge modes
- Canted antiferromagnetic phase of the quantum Hall state in bilayer graphene
- Thirty Years of Composite Fermions and Beyond
- Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
- Fractional charge and fractional statistics in the quantum Hall effects
- Transport in gapped bilayer graphene: the role of potential fluctuations
- Fabry-Perot Interferometry with Fractional Charges
- A New Paradigm for Edge Reconstruction in Fractional Quantum Hall States
- Aharonov Bohm Effect in Graphene Fabry Pérot Quantum Hall Interferometers
- A tunable Fabry-Pérot quantum Hall interferometer in graphene
- Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
- The nature of localization in graphene under quantum Hall conditions
- Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
- Tunable transmission of quantum Hall edge channels with full degeneracy lifting in split-gated graphene devices
- Quantum Hall valley splitters and tunable Mach-Zehnder interferometer in graphene
- Anyons in Quantum Hall Interferometry
- Effective Landau Level Diagram of Bilayer Graphene
- Electron interferometry in quantum Hall regime: Aharonov-Bohm effect of interacting electrons
- Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
- Gapless Spin Wave Transport through a Quantum Canted-Antiferromagnet
- Dephasing of an Electronic Two-Path Interferometer
- Theory of non-equilibrium electronic Mach-Zehnder interferometer
- Observation of quantum Hall interferometer phase jumps due to changing quasiparticle number
- Influence of Coulomb interaction on the Aharonov-Bohm effect in an electronic Fabry-Perot interferometer
- Equilibration of Quantum hall edges in symmetry broken bilayer graphene
- Fabry-Pérot resonances and a crossover to the quantum Hall regime in ballistic graphene quantum point contacts
- Gate-controlled transmission of quantum Hall edge states in bilayer graphene
- Thermal Transport Signatures of Broken-Symmetry Phases in Graphene
- Solution of a model for the two-channel electronic Mach-Zehnder interferometer
Cited by in corpus (7)
- Anyon braiding and telegraph noise in a graphene interferometer
- Strongly coupled edge states in a graphene quantum Hall interferometer
- Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
- Dissipation and dephasing in quantum Hall interferometers
- Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
- Four-band effective square lattice model for Bernal-stacked bilayer graphene
- Spontaneous localization at a potential saddle point from edge state reconstruction in a quantum Hall point contact