Duality and anyonic excitations
Mesoscale and Nanoscale Physics
2007-05-23 v2 High Energy Physics - Theory
Abstract
We consider anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, and introduce the concept of duality between such classes, defined by . 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 , suggests conformal invariance.
Cite
@article{arxiv.cond-mat/9802290,
title = {Duality and anyonic excitations},
author = {Wellington da Cruz},
journal= {arXiv preprint arXiv:cond-mat/9802290},
year = {2007}
}
Comments
latex, 4 pages, typos corrected, an observation on conformal invariance added