Quasi-particles for quantum Hall edges
Mesoscale and Nanoscale Physics
2007-05-23 v1
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 \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.
Cite
@article{arxiv.cond-mat/9906009,
title = {Quasi-particles for quantum Hall edges},
author = {K. Schoutens and R. A. J. van Elburg},
journal= {arXiv preprint arXiv:cond-mat/9906009},
year = {2007}
}
Comments
Latex, 6 pages, Contribution to the proceedings of the XXXIVth Rencontres de Moriond `Quantum Physics at Mesoscopic Scale'