Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state

Abstract

Some models of the 5/2 fractional quantum Hall state predict that the quasi-particles, which carry the charge, have non-Abelian statistics: exchange of two quasi-particles changes the wave function more dramatically than just the usual change of phase factor. Such non-Abelian statistics would make the system less sensitive to decoherence, making it a candidate for implementation of topological quantum computation. We measure quasi-particle tunneling as a function of temperature and DC bias between counter-propagating edge states. Fits to theory give e*, the quasi-particle effective charge, close to the expected value of e/4 and g, the strength of the interaction between quasi-particles, close to 3/8. Fits corresponding to the various proposed wave functions, along with qualitative features of the data, strongly favor the Abelian 331 state.

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• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Energy Gap and Spin Polarization in the 5/2 Fractional Quantum Hall Effect

Cited by in corpus (53)

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• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Fractional charge and fractional statistics in the quantum Hall effects
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Experimental probe of topological orders and edge excitations in the second Landau level
• Non-Abelian Parton Fractional Quantum Hall Effect in Multilayer Graphene
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Fractional quantum Hall effect in a tilted magnetic field
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Striped quantum Hall state in a half-filled Landau level
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• Quantum Phase Transitions and the ν=5/2 Fractional Hall State in Wide Quantum Wells
• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Environmental induced renormalization effects in quantum Hall edge states
• Quasiholes of 1/3 and 7/3 quantum Hall states: size estimates via exact diagonalization and density-matrix renormalization group
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Why a noninteracting model works for shot noise in fractional charge experiments
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Edge Probes of Topological Order
• 3/2 Fractional Quantum Hall Plateau in Confined Two-Dimensional Electron Gas
• Direct observation of composite fermions and their fully spin-polarized Fermi sea near $\nu =5/2$
• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
• Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime
• Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
• Observation of the scaling dimension of fractional quantum Hall anyons
• Fluctuations in heat current and scaling dimension
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fluctuation theorems without time-reversal symmetry
• Competition of Pairing and Nematicity in the Two-Dimensional Electron Gas
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Low-temperature environments for quantum computation and quantum simulation
• Measuring Topological Order
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• Identifying non-Abelian anyons with upstream noise
• Chiral Quasiparticle Tunneling Between Quantum Hall Edges in Proximity with a Superconductor
• Anomalous quantized plateaus in two-dimensional electron gas with gate confinement
• Neutral excitation and bulk gap of the Fractional Quantum Hall liquids in disk geometry
• The Monte Carlo simulation of the topological quantities in FQH systems
• Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact
• Stability of the 5/2 Fractional Quantum Hall State in a Corbino Disc Sample with In-plane Electric Fields
• Investigating Energy Scales of Fractional Quantum Hall States using Scanning Gate Microscopy
• Non-Abelian operation through scattering between chiral Dirac edge modes
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling
• Edge mode velocities in the quantum Hall effect from a dc measurement