Haldane's Fractional Exclusion Statistics for Multicomponent Systems

Details Haldane's Fractional Exclusion Statistics for Multicomponent Systems Haldane's Fractional Exclusion Statistics for Multicomponent Systems

1994-08-04

arxiv.org/abs/cond-mat/9408015v1

Physics

Condensed Matter

12 pages, Revtex, preprint YITP/K-1077

Scientific paper

10.1103/PhysRevB.51.5239

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.

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