Quasi-particles for quantum Hall edges

K. Schoutens; R. A. J. van Elburg

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arXiv · cond-mat/9906009

Quasi-particles for quantum Hall edges

K. Schoutens·R. A. J. van Elburg

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Abstract

We discuss a quasi-particle formulation of effective edge theories for the fractional quantum Hall effect. Fundamental quasi-particles for the Laughlin state with filling fraction ν=1/3 are edge electrons of charge -e and edge quasi-holes of charge +e/3. These quasi-particles satisfy exclusion statistics in the sense of Haldane. We exploit algebraic properties of edge electrons to derive a kinetic equation for charge transport between a ν=1/3 fractional quantum Hall edge and a normal metal.

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K. Schoutens, R. A. J. van Elburg. 1999-06-01. Quasi-particles for quantum Hall edges. https://arxiv.org/abs/cond-mat/9906009

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