Edge-mode velocities and thermal coherence of quantum Hall interferometers

Abstract

We present comprehensive results on the edge-mode velocities in a quantum Hall droplet with realistic interaction and confinement at various filling fractions. We demonstrate that the charge-mode velocity scales roughly with the valence Landau level filling fraction and the Coulomb energy in the corresponding Landau level. At Landau level filling fraction nu = 5/2, the stark difference between the bosonic charge-mode velocity and the fermionic neutral-mode velocity can manifest itself in the thermal smearing of the non-Abelian quasiparticle interference. We estimate the dependence of the coherence temperature on the confining potential strength, which may be tunable experimentally to enhance the non-Abelian state.

4 pages, 3 figures; revised to 6 pages, 4 figures, to appear in Phys. Rev. B

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Cited by in corpus (39)

• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Aharonov-Bohm interference of fractional quantum Hall edge modes
• Fractional charge and fractional statistics in the quantum Hall effects
• On the Interpretation of Thermal Conductance of the nu=5/2 Edge
• Implementing arbitrary phase gates with Ising anyons
• 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
• Anomalous charge tunneling in the fractional quantum Hall edge states at filling factor ν= 5/2
• Charge tunneling in fractional edge channels
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
• Interference, Coulomb blockade, and the identification of non-abelian quantum Hall states
• Chiral and Critical Spin Liquids in Spin-$1/2$ Kagome Antiferromagnet
• Fractional Edge Reconstruction in Integer Quantum Hall Phases
• Coulomb Blockade Doppelgangers in Quantum Hall States
• Enhanced bulk-edge Coulomb coupling in Fractional Fabry-Perot interferometers
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Spectral noise for edge states at filling factor $\nu =5/2$
• Parafermion supporting platform based on spin transitions in the fractional quantum Hall effect regime
• Construction of the edge states in fractional quantum Hall systems by Jack polynomial
• Optimization of edge state velocity in the integer quantum Hall regime
• Signatures of non-Abelian statistics in non-linear coulomb blockaded transport
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Microwave Absorption by a Mesoscopic Quantum Hall Droplet
• Anyonic braiding via quench dynamics in fractional quantum Hall liquids
• Tunnelling current through fractional quantum Hall interferometers
• Identification of the Fractional quantum Hall edge modes by density oscillations
• Edge-driven transition between extended quantum anomalous Hall crystal and fractional Chern insulator in rhombohedral graphene multilayers
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Entanglement spectrum edge reconstruction and correlation hole of the FQH liquids
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Many-body study of a quantum point contact in the fractional quantum Hall regime at v=5/2
• Finite frequency noise spectroscopy for fractional Hall states at ν = 5/2
• Thermoelectric Hall conductivity of the fractional quantum Hall systems on a disk
• Non-Fermi Liquid Quantum Impurity Physics from non-Abelian Quantum Hall States
• Integrability of the $\nu =4/3$ fractional quantum Hall edge states
• Edge mode velocities in the quantum Hall effect from a dc measurement
• Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling
• Sensing the binding and unbinding of anyons at impurities