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arxiv: cond-mat/9906009 · v1 · submitted 1999-06-01 · ❄️ cond-mat.mes-hall

Quasi-particles for quantum Hall edges

classification ❄️ cond-mat.mes-hall
keywords edgechargehallquantumquasi-particleselectronsfractionalalgebraic
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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 \nu =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 \nu=1/3 fractional quantum Hall edge and a normal metal.

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