Klein Factors in multiple Fractional Quantum Hall edge tunneling

Details Klein Factors in multiple Fractional Quantum Hall edge tunneling Klein Factors in multiple Fractional Quantum Hall edge tunneling

2001-09-19

arxiv.org/abs/cond-mat/0109340v2

Phys. Rev. B 65, 153304 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevB.65.153304

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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