Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene

Abstract

Quasi-particles in fractional quantum Hall states are collective excitations that carry fractional charge and anyonic statistics. While the fractional charge affects semi-classical characteristics such as shot noise and charging energies, the anyonic statistics is most notable in quantum interference phenomena. In this study, we utilize a versatile bilayer graphene-based Fabry-Pérot Interferometer (FPI) that facilitates the study of a broad spectrum of operating regimes, from Coulomb-dominated to Aharonov-Bohm, for both integer and fractional quantum Hall states. Focusing on the $\nu$=$\frac{1}{3}$ fractional quantum Hall state, we study the Aharonov-Bohm interference of quasi-particles when the magnetic flux through an interference loop and the charge density within the loop are independently varied. When their combined variation is such that the Landau filling remains $\frac{1}{3}$ we observe pristine Aharonov-Bohm oscillations with a period of three flux quanta, as is expected from the interference of quasi-particles of one-third of the electron charge. When the combined variation is such that it leads to quasi-particles addition or removal from the loop, phase jumps emerge, and alter the phase evolution. Notably, across all cases, the average phase consistently increases by 2$\pi$ with each addition of one electron to the loop.

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Cited by in corpus (7)

• Anyon braiding and telegraph noise in a graphene interferometer
• Strongly coupled edge states in a graphene quantum Hall interferometer
• Thermal junctions controlled with Aharonov-Bohm phases
• Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States
• Non-Abelian phases from the condensation of Abelian anyons
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Quantum statistics and self-interference in extended colliders