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Klein Factors in multiple Fractional Quantum Hall edge tunneling

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arxiv cond-mat/0109340 v2 pith:B4BCF3UC submitted 2001-09-19 cond-mat.mes-hall

Klein Factors in multiple Fractional Quantum Hall edge tunneling

classification cond-mat.mes-hall
keywords factorsnoiseedgehallkleinmultiplecorrelationscross
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A fractional quantum Hall liquid with multiple edges is considered. The computation of transport quantities such as current, noise and noise cross correlations in such multiple edge samples requires the implementation of so called Klein factors, which insure the correct quasiparticle exchange properties. The commutation relations of these factors are obtained by closing the system into a single edge. The non-equilibrium Green's function formalism associated with such factors is derived for a simple Laughlin fraction of the Hall effect. It is shown explicitly how Klein factors enter the calculation of the noise cross correlations, as well as the correction to the Poisson limit for the noise.

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  1. Testing edge chirality with a three-path fractional quantum Hall interferometer

    cond-mat.mes-hall 2026-07 accept novelty 7.0

    A cubic Aharonov-Bohm three-path interferometer isolates downstream vs upstream edge response and reconstructs charge, scaling dimension, and exchange angle of the tunneling vertex.