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

Article

关键词: T-J MODEL;    GAUGE FIELD ACTION;    FRACTIONAL-STATISTICS;    ARBITRARY DIMENSIONS;    LUTTINGER LIQUIDS;    MAGNETIC-FIELD;    LANDAU-LEVELS;    QUANTUM;    ANYONS;    FERMIONS;   

DOI  :  10.1103/PhysRevB.92.235151

来源: SCIE

【 摘 要 】

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 nonperturbatively 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.

【 授权许可】

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