Bulk-edge correspondence in the adiabatic heuristic principle

Article

关键词: QUANTIZED HALL CONDUCTANCE;    INCOMPRESSIBLE QUANTUM FLUID;    TOPOLOGICAL INSULATORS;    FRACTIONAL STATISTICS;    STATES;    EXCITATIONS;    DEGENERACY;    ELECTRONS;    HIERARCHY;    TRANSPORT;   

DOI  :  10.1103/PhysRevB.104.L241113

来源: SCIE

【 摘 要 】

Using the Laughlin's argument on a torus with two pinholes, we numerically demonstrate that the discontinuities of the center of mass work well as an invariant of the pumping phenomena during the process of the flux attachment, trading the magnetic flux for a statistical one. This is consistent with the bulk-edge correspondence of the fractional quantum Hall effect of anyons. We also confirm that the general feature of the edge states remains unchanged during the process while the topological degeneracy is discretely changed. This supports the stability of the quantum Hall edge states in the adiabatic heuristic principle.

【 授权许可】

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