Aharonov-Bohm Interference in Even-Denominator Fractional Quantum Hall States

Abstract

Position exchange of non-Abelian anyons affects the quantum state of their system in a topologically-protected way. Their expected manifestations in even-denominator fractional quantum Hall (FQH) systems offer the opportunity to directly study their unique statistical properties in interference experiments. In this work, we present the observation of coherent Aharonov-Bohm interference at two even-denominator states in high-mobility bilayer graphene-based van der Waals heterostructures by employing the Fabry-Pérot interferometry (FPI) technique. Operating the interferometer at a constant filling factor, we observe an oscillation period corresponding to two flux quanta inside the interference loop, $\Delta \Phi =2{\Phi }_0$, at which the interference does not carry signatures of non-Abelian statistics. The absence of the expected periodicity of $\Delta \Phi =4{\Phi }_0$ may indicate that the interfering quasiparticles carry the charge $e^{\ast }=\frac{1}{2}e$ or that interference of $e^{\ast }=\frac{1}{4}e$ quasiparticles is thermally smeared. Interestingly, at two hole-conjugate states, we also observe oscillation periods of half the expected value, indicating interference of $e^{\ast }=\frac{2}{3}e$ quasiparticles instead of $e^{\ast }=\frac{1}{3}e$. To probe statistical phase contributions, we operated the FPI with controlled deviations of the filling factor, thereby introducing fractional quasiparticles inside the interference loop. The resulting changes to the interference patterns at both half-filled states indicate that the additional bulk quasiparticles carry the fundamental charge $e^{\ast }=\frac{1}{4}e$, as expected for non-Abelian anyons.

References in corpus (37)

• Non-Abelian Anyons and Topological Quantum Computation
• Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional statistics in anyon collisions
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Towards identification of a non-abelian state: observation of a quarter of electron charge at $\nu =5/2$ quantum Hall state
• Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Even denominator fractional quantum Hall state in bilayer graphene
• Theory of the Fabry-Perot Quantum Hall Interferometer
• Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
• Even denominator fractional quantum Hall states at an isospin transition in monolayer graphene
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Local Charge of the nu=5/2 Fractional Quantum Hall State
• Fractional charge and fractional statistics in the quantum Hall effects
• Current Correlations from a Mesoscopic Anyon Collider
• Aharonov Bohm Effect in Graphene Fabry Pérot Quantum Hall Interferometers
• Odd- and even-denominator fractional quantum Hall states in monolayer WSe${}_2$
• Novel method distinguishing between competing topological orders
• A tunable Fabry-Pérot quantum Hall interferometer in graphene
• Direct Observation of a Fractional Charge
• Collective states of non-abelian quasiparticles in a magnetic field
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• Anyon braiding and telegraph noise in a graphene interferometer
• Two-particle time-domain interferometry in the Fractional Quantum Hall Effect regime
• Topological phase transition between composite-fermion and Pfaffian daughter states near ν = 1/2 FQHS
• 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
• Quarter- and half-filled quantum Hall states and their topological orders revealed by daughter states in bilayer graphene
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Evidence for correlated electron pairs and triplets in quantum Hall interferometers
• Modified interferometer to measure anyonic braiding statistics
• Signature of anyonic statistics in the integer quantum Hall regime