Landscapes of an out-of-equilibrium anyonic sea
arXiv:2407.14203 · doi:10.1103/PhysRevLett.134.096303
Abstract
The low-energy dynamics of two-dimensional topological matter hinges on its one-dimensional edge modes. Tunneling between fractional quantum Hall edge modes facilitates the study of anyonic statistics: it induces time-domain braiding that dominates signals from diluted anyon beams. We develop a framework for characterizing one-dimensional out-of-equilibrium anyonic states and define their effective potential and temperature, both arising from anyonic braiding, as well as the landscape of their excitations. Unlike fermions, the effective anyon potential depends on the type of the tunneling quasiparticles; non-equilibrium anyonic states are underlain by power-law energy distributions. This allows "hot" anyons to tunnel above the chemical potential of the source, which we capture by a measurable universal witness function. Our analysis raises the prospect of generalizing the kinetic approach to compressible anyonic matter in higher dimensions.
arXiv comment37 pages, 12 figures
References in corpus (73)
- Quantum entanglement
- Unpaired Majorana fermions in quantum wires
- Shot Noise in Mesoscopic Conductors
- Entanglement detection
- Quantum Spin Liquids
- Quantum Coherence as a Resource
- Direct observation of anyonic braiding statistics at the =1/3 fractional quantum Hall state
- Fractons
- Fractional statistics in anyon collisions
- A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- Randomness at the Edge: Theory of Quantum Hall transport at filling
- Partition noise and statistics in the fractional quantum Hall effect
- Influence of Interactions on Flux and Back-gate Period of Quantum Hall Interferometers
- Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
- Aharonov-Bohm interference of fractional quantum Hall edge modes
- Fractional quantum Hall effect at : Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
- Signatures of fractional statistics in noise experiments in quantum Hall fluids
- Edge reconstruction in the fractional quantum Hall state
- Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer
- Current Correlations from a Mesoscopic Anyon Collider
- Isolated Ballistic Non-Abelian Interface Channel
- Composite Edge States in the Fractional Quantum Hall Regime
- Shot Noise in Anyonic Mach-Zehnder Interferometer
- Transport in a disordered fractional quantum Hall junction
- Incoherent transport on the quantum Hall edge
- Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
- Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
- Hanbury-Brown and Twiss interference of anyons
- Revisiting the Hanbury Brown-Twiss set-up for fractional statistics
- Topological classification of shot noise on fractional quantum Hall edges
- Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
- Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
- Andreev reflection in the fractional quantum Hall effect
- Noise on the Non-Abelian Fractional Quantum Hall Edge
- Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
- Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
- Fractionalization and anyonic statistics in the integer quantum Hall collider
- Partitioning of Diluted Anyons Reveals their Braiding Statistics
- Topological vacuum bubble by anyon braiding
- Negative delta- noise in the Fractional Quantum Hall effect
- Non-Abelian Anyon Collider
- Determination of topological edge quantum numbers of fractional quantum Hall phases
- Partial equilibration of anti-Pfaffian edge modes at
- Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
- Heat equilibration of integer and fractional quantum Hall edge modes in graphene
- Mach-Zehnder interferometer in the Fractional Quantum Hall regime
- Negative Excess Shot Noise by Anyon Braiding
- Shot Noise and the Transmission of Dilute Laughlin Quasiparticles
- Contacts, equilibration, and interactions in fractional quantum Hall edge transport
- Flux superperiods and periodicity transitions in quantum Hall interferometers
- Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
- Hanbury Brown and Twiss Correlations in Quantum Hall Systems
- Theoretical investigation of edge reconstruction in the =5/2 and 7/3 fractional quantum Hall states
- Does delta- noise probe quantum statistics?
- Thermal conductance and noise of Majorana modes along interfaced fractional quantum Hall states
- Quasiparticle Andreev scattering in the fractional quantum Hall regime
- Observation of the scaling dimension of fractional quantum Hall anyons
- Anyon statistics through conductance measurements of time-domain interferometry
- Shot noise as a diagnostic in the fractional quantum Hall edge zoo
- Quantum Hall Mach-Zehnder interferometer at fractional filling factors
- Fluctuations in heat current and scaling dimension
- Chirality and Current-Current Correlation in Fractional Quantum Hall Systems
- Fingerprints of anti-Pfaffian topological order in quantum point contact transport
- Finite width of anyons changes their braiding signature
- Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas
- Identifying non-Abelian anyons with upstream noise
- Finite Soliton Width Matters: Investigating Non-equilibrium Exchange Phases of Anyons
- Electrical noise spectroscopy of magnons in a quantum Hall ferromagnet
- Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
- Quasiparticle Andreev reflection in the Laughlin fractions of the fractional quantum Hall effect
- Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
- Dc Electrical Current Generated by Upstream Neutral Modes