Hall effect, edge states and Haldane exclusion statistics in two-dimensional space

Abstract

We clarify the relation between two kinds of statistics for particle excitations in planar systems: the braid statistics of anyons and the Haldane exclusion statistics(HES). It is shown non-perturbatively that the HES exists for incompressible anyon liquid in the presence of a Hall response. We also study the statistical properties of a specific quantum anomalous Hall model with Chern-Simons term by perturbation in both compressible and incompressible regimes, where the crucial role of edge states to the HES is shown.

References in corpus (5)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Effective description of Chern insulators
• A gauge approach to the "pseudogap" phenomenology of the spectral weight in high Tc cuprates
• Plasmon modes in the magnetically doped Single Layer and Multilayers of Helical Metals

Cited by in corpus (7)

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• Charge carriers with fractional exclusion statistics in cuprates
• Universality in cuprates: a gauge approach
• Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory
• Fractional statistics of charge carriers in the one- and two-dimensional t-J model. A hint for the cuprates?
• Introduction to abelian anyons in planar systems
• Superfluid density in cuprates: hints on gauge compositeness of the holes