Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 42, Issue 22, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/22/222001
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Funding
- Alexander von Humboldt Foundation
- BG-NSF [DO 02-257]
- INFN
- Department of Physics, University of Florence
- CONICET
- ESF programme INSTANS
- PRIN grant (Italy)
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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, v = m/(mp +/- 1), and find a non-trivial pattern of conductance peaks. In particular, each one of them occurs with a characteristic multiplicity, which 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.
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