Fractional-quantum-Hall edges at filling factor 1-1/m

Details Fractional-quantum-Hall edges at filling factor 1-1/m Fractional-quantum-Hall edges at filling factor 1-1/m

1999-05-20

arxiv.org/abs/cond-mat/9905298v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, Latex, uses moriond.sty (included), to be published in the proceedings of the XXXIVth Rencontres de Moriond "Quantum

Scientific paper

We consider the edge of a two-dimensional electron system that is in the quantum-Hall-effect regime at filling factor 1-1/m with m being an odd integer, where microscopic theory explaining the occurrence of the quantum Hall effect in the bulk predicts the existence of two counterpropagating edge-excitation modes. These two modes are the classical edge-magnetoplasmon mode and a slow-moving neutral mode. Assuming the electrons to be confined by a coplanar neutralizing background of positive charges, and taking careful account of long-range Coulomb interactions, we determine microscopically the velocity of the neutral mode and the edge width. Our results are intended to guide experimental efforts aimed at verifying the existence of the neutral mode, which would provide a powerful confirmation of the current microscopic understanding of quantum-Hall physics at the simplest hierarchical filling Factors 1-1/m.

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