Duality and anyonic excitations

Details Duality and anyonic excitations Duality and anyonic excitations

1998-02-26

arxiv.org/abs/cond-mat/9802290v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

latex, 4 pages, typos corrected, an observation on conformal invariance added

Scientific paper

We consider anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, $h$ and introduce the concept of duality between such classes, defined by $\tilde{h}=3-h$. In this way, we confirm that the filling factors for which the Fractional Quantum Hall Effect (FQHE) were observed just appears into these classes and the duality in case is between quasihole and quaasiparticle excitations for these FQHE systems.Exchanges of dual pairs $(\nu,\tilde{\nu})$, suggests conformal invariance.

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