Coulomb blockade of anyons

Abstract

Coulomb interaction turns anyonic quasiparticles of a primary quantum Hall liquid with filling factor $\nu =1/(2m+1)$ into hard-core anyons. We have developed a model of coherent transport of such quasiparticles in systems of multiple antidots by extending the Wigner-Jordan description of 1D abelian anyons to tunneling problems. We show that the anyonic exchange statistics manifests itself in tunneling conductance even in the {\em absence} of quasiparticle exchanges. In particular, it can be seen as a non-vanishing resonant peak associated with quasiparticle tunneling through a line of three antidots.

Published version, 4 pages including 3 figures

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Cited by in corpus (33)

• Anyons and the quantum Hall effect - a pedagogical review
• Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Junctions of anyonic Luttinger wires
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
• Strongly interacting mesoscopic systems of anyons in one dimension
• Coulomb Oscillations in Antidots in the Integer and Fractional Quantum Hall Regimes
• Electron interactions in an antidot in the integer quantum Hall regime
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
• Off-diagonal correlations in one-dimensional anyonic models: A replica approach
• Correlation functions of one-dimensional strongly interacting two-component gases
• Braiding of anyonic quasiparticles in the charge transfer statistics of symmetric fractional edge-state Mach-Zehnder interferometer
• Localizing fractional quasiparticles on graphene quantum hall antidots
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. III. Large distance asymptotics of the space correlations
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
• Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Large-Distance Asymptotic Behavior of the Correlation Functions of 1D Impenetrable Anyons at Finite Temperatures
• Spectator Behavior in a Quantum Hall Antidot with Multiple Bound Modes
• Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons
• Charge transfer statistics in symmetric fractional edge-state Mach-Zehnder interferometer
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
• Indistinguishability of quantum states and rotation counting
• Dualities for anyons
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Twisted mass QCD in the charm sector
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Localizing Individual Exciton on a Quantum Hall Antidot