Telegraph noise and the Fabry-Perot quantum Hall interferometer

Abstract

We consider signatures of abelian and nonabelian quasiparticle statistics in quantum Hall Fabry-Perot interferometers. When quasiparticles enter and exit the interference cell, for instance due to glassy motion in the dopant layer, the anyonic phase can be observed in phase jumps. In the case of the nonabelian nu=5/2 state, if the interferometer is small, we argue that free Majorana states in the interference cell are either strongly coupled to one another or are strongly coupled to the edge. We analyze the expected phase jumps and in particular suggest that changes in the parity of the Majorana ground state should gives rise to characteristic jumps of pi in the interference phase.

8 pages including supplemental material; 2 figures; minor error corrections; several references added

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Cited by in corpus (31)

• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Magnetic field-tuned Aharonov-Bohm oscillations and evidence for non-Abelian anyons at v=5/2
• Fractional charge and fractional statistics in the quantum Hall effects
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Braiding non-Abelian quasiholes in fractional quantum Hall states
• Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
• Electrical probes of the non-Abelian spin liquid in Kitaev materials
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Perturbed vortex lattices and the stability of nucleated topological phases
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Topological vacuum bubble by anyon braiding
• Quasiholes of 1/3 and 7/3 quantum Hall states: size estimates via exact diagonalization and density-matrix renormalization group
• Characterization of quasiholes in fractional Chern insulators
• Negative Excess Shot Noise by Anyon Braiding
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Anyon braiding and telegraph noise in a graphene interferometer
• Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers
• Braiding of non-Abelian anyons using pairwise interactions
• Characterization of quasiholes in two-component fractional quantum Hall states and fractional Chern insulators in $|C|=2$ flat bands
• Thermal anyon interferometry in phonon-coupled Kitaev spin liquids
• Readout of parafermionic states by transport measurements
• Topological blockade and measurement of topological charge
• Fluctuation theorems without time-reversal symmetry
• Finite width of anyons changes their braiding signature
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Dynamics of parafermionic states in transport measurements
• Anyon braiding on the single edge of a fractional quantum Hall state
• Finite frequency noise spectroscopy for fractional Hall states at ν = 5/2
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers