Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge

Abstract

The recent measurement of a half-integer thermal conductance for the $\nu =5/2$ fractional quantum Hall state has confirmed its non-Abelian nature, making the question of the underlying topological order highly intriguing. We analyze the shot noise at the edge of the three most prominent non-Abelian candidate states. We show that the noise scaling with respect to the edge length can, in combination with the thermal conductance, be used to experimentally distinguish between the Pfaffian, anti-Pfaffian, and particle-hole-Pfaffian edge structures.

arXiv comment6+4 pages; 2+0 figures

References in corpus (50)

• Non-Abelian Anyons and Topological Quantum Computation
• Shot Noise in Mesoscopic Conductors
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Is the Composite Fermion a Dirac Particle?
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Quantum limit of heat flow across a single electronic channel
• Observation of neutral modes in the fractional quantum Hall regime
• Observed Quantization of Anyonic Heat Flow
• Thermal Transport in Chiral Conformal Theories and Hierarchical Quantum Hall States
• Unraveling the spin polarization of the v = 5/2 fractional quantum Hall state
• The Fractional Quantum Hall state at nu=5/2 and the Moore-Read Pfaffian
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Possibility of p-wave pairing of composite fermions at $\nu =1/2$
• Topological Order from Disorder and the Quantized Hall Thermal Metal: Possible Applications to the $\nu =5/2$ State
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• NMR probing of the spin polarization of the nu=5/2 quantum Hall state
• Measurements of quasi-particle tunneling in the nu = 5/2 fractional quantum Hall state
• On the Interpretation of Thermal Conductance of the nu=5/2 Edge
• Contacts and Edge State Equilibration in the Fractional Quantum Hall Effect
• Theory of Disordered $\nu =5/2$ Quantum Thermal Hall State: Emergent Symmetry and Phase Diagram
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Topological classification of shot noise on fractional quantum Hall edges
• Synthesizing a Fractional v=2/3 State from Particle and Hole States
• Experimental Evidence for a Spin-Polarized Ground State in the ν=5/2 Fractional Quantum Hall Effect
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Paired states at 5/2: PH Pfaffian and particle-hole symmetry breaking
• Edge Probes of Topological Order
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Spectral noise for edge states at filling factor $\nu =5/2$
• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
• Thermal equilibration on the edges of topological liquids
• Variational Monte Carlo study of spin polarization stability of fractional quantum Hall states against realistic effects in half-filled Landau levels

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• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Temperature enhancement of thermal Hall conductance quantization
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Energy relaxation in edge modes in the quantum Hall effect
• Does delta-$T$ noise probe quantum statistics?
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Shot noise as a diagnostic in the $\nu =2/3$ fractional quantum Hall edge zoo
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Identifying non-Abelian anyons with upstream noise
• Possible restoration of particle-hole symmetry in the 5/2 Quantized Hall State at small magnetic field
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Approximate two-body generating Hamiltonian for the PH-Pfaffian wavefunction
• Localization and conductance in fractional quantum Hall edges
• Impact of potential and temperature fluctuations on charge and heat transport in quantum Hall edges in the heat Coulomb blockade regime
• Two-component parton fractional quantum Hall state in graphene
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Landscapes of an out-of-equilibrium anyonic sea
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations
• Elevated Hall Responses as Indicators of Edge Reconstruction
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state