Partition Functions of Non-Abelian Quantum Hall States

Abstract

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.

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

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Cited by in corpus (10)

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• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Boundary theory of the X-cube model in the continuum
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
• Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence
• Stability of Topological Insulators with Non-Abelian Edge Excitations
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Operator-state correspondence in simple current extended conformal field theories: Toward a general understanding of chiral conformal field theories and topological orders
• Fusion rule in conformal field theories and topological orders: A unified view of correspondence and (fractional) supersymmetry and their relation to topological holography
• Ordering the topological order in the fractional quantum Hall effect