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.
14 pages, 3 figures, and 2 tables
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- 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