Exclusion statistics for non-abelian quantum Hall states

Abstract

We determine the exclusion statistics properties of the fundamental edge quasi-particles over a specific $ν=\half$ non-abelian quantum Hall state known as the pfaffian. The fundamental excitations are the edge electrons of charge $-e$ and the edge quasi-holes of charge $+\frac{e}{4}$. We explicitly determine thermodynamic distribution functions and establish a duality which generalizes the duality for fractional exclusion statistics in the sense of Haldane.

LaTeX, 4 pages, no figures; results for 1/q pfaffian added

References in corpus (3)

• Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
• Exclusion Statistics in Conformal Field Theory Spectra
• Quasi-particles in Fractional Quantum Hall Effect Edge Theories

Cited by in corpus (18)

• Anyons and the quantum Hall effect - a pedagogical review
• New Class of Non-Abelian Spin-Singlet Quantum Hall States
• Spinons in Magnetic Chains of Arbitrary Spins at Finite Temperatures
• Landau-Ginzburg Theories for Non-Abelian Quantum Hall States
• Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories
• Conductance and Shot Noise for Particles with Exclusion Statistics
• Condensation of an ideal gas obeying non-Abelian statistic
• Matrix Product State description of the Halperin States
• Non-abelian Exclusion Statistics
• K-matrices for non-abelian quantum Hall states
• The nu=5/2 quantum Hall state revisited: spontaneous breaking of the chiral fermion parity and phase transition between abelian and non-abelian statistics
• Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Non-Abelian Chern-Simons Particles in an External Magnetic Field
• K-matrices for 2D conformal field theories
• Thermopower and thermoelectric power factor of ${\mathbb{Z}}_k$ parafermion quantum dots
• Spinon bases in supersymmetric CFTs
• Non-abelian Electrons