Partition Functions of Non-Abelian Quantum Hall States

Details Partition Functions of Non-Abelian Quantum Hall States Partition Functions of Non-Abelian Quantum Hall States

2010-07-10

arxiv.org/abs/1007.1732v3

J.Phys.A44:075401,2011

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

42 pages, 3 figures; published version; minor corrections to sect. 4.2

Scientific paper

10.1088/1751-8113/44/7/075401

Partition functions of edge excitations are obtained for non-Abelian Hall states in the second Landau level, such as the anti-Read-Rezayi state, the Bonderson-Slingerland hierarchy and the Wen non-Abelian fluid, as well as for the non-Abelian spin-singlet state. The derivation is straightforward and unique starting from the non-Abelian conformal field theory data and solving the modular invariance conditions. The partition functions provide a complete account of the excitation spectrum and are used to describe experiments of Coulomb blockade and thermopower.

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