Haldane's Fractional Exclusion Statistics for Multicomponent Systems

Abstract

The idea of fractional exclusion statistics proposed by Haldane is applied to systems with internal degrees of freedom, and its thermodynamics is examined. In case of one dimension, various bulk quantities calculated show that the critical behavior of such systems can be described by $c=1$ conformal field theories and conformal weights are completely characterized by statistical interactions. It is also found that statistical interactions have intimate relationship with a topological order matrix in Chern-Simons theory for the fractional quantum Hall effect.

12 pages, Revtex, preprint YITP/K-1077

References in corpus (5)

• Exact Dynamical Correlation Functions of Calogero-Sutherland Model and One-Dimensional Fractional Statistics
• On Models with Inverse-Square Exchange
• Integrable Systems for Particles with Internal Degrees of Freedom
• Haldane exclusion statistics and second virial coefficient
• Statistical properties and statistical interaction for particles with spin: Hubbard model in one dimension and statistical spin liquid

Cited by in corpus (25)

• Landau-Ginzburg Theories for Non-Abelian Quantum Hall States
• Thermodynamics for Fractional Exclusion Statistics
• Exclusion Statistics in Conformal Field Theory -- generalized fermions and spinons for level-1 WZW theories
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• Mutual Exclusion Statistics in Exactly Solvable Models in One and Higher Dimensions at Low Temperatures
• Quasi-particles in Fractional Quantum Hall Effect Edge Theories
• A multispecies Calogero-Sutherland model
• Jacobson generators, Fock representations and statistics of sl(n+1)
• Cooper pairs and exclusion statistics from coupled free-fermion chains
• Non-abelian Exclusion Statistics
• K-matrices for non-abelian quantum Hall states
• Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
• Exclusonic Quasiparticles and Thermodynamics of Fractional Quantum Hall Liquids
• Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Elementary Excitations and Dynamical Correlation Functions of the Calogero-Sutherland Model with Internal Symmetry
• Statistical mechanics and thermodynamics for multispecies exclusion statistics
• Nonlinear dynamics of spin and charge in spin-Calogero model
• Exclusion statistics,operator algebras and Fock space representations
• Quantum liquids of particles with generalized statistics
• Fractional Exclusion Statistics for the Multicomponent Sutherland Model
• Transport coefficients, effective charge and mass for multicomponent systems with fractional exclusion statistics
• Spin-$S$ generalization of fractional exclusion statistics
• Bosonization in $R$-paraparticle Luttinger models
• Many-body constraints and non-thermal behavior in 1D open systems with Haldane exclusion statistics