Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-02-09
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
8 pages; v2: published version; effects of level multiplicities not well understood, see arXiv:0909.3588 for the correct analy
Scientific paper
The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both Abelian and non-Abelian statistics, upon adapting known results for the annulus geometry. We analyze the Abelian states with hierarchical filling fractions, \nu=m/(mp \pm 1), and find a non trivial pattern of conductance peaks. In particular, each one of them occurs with a characteristic multiplicity, that is due to the extended symmetry of the m-folded edge. Experimental tests of the multiplicity can shed more light on the dynamics of this composite edge.
Cappelli Andrea
Georgiev Lachezar S.
Zemba Guillermo R.
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