Exclusion Statistics of Quasiparticles in Condensed States of Composite Fermion Excitations

Abstract

The exclusion statistics of quasiparticles is found at any level of the hierarchy of condensed states of composite fermion excitations (for which experimental indications have recently been found). The hierarchy of condensed states of excitations in boson Jain states is introduced and the statistics of quasiparticles is found. The quantum Hall states of charged $\alpha$-anyons ($\alpha$ -- the exclusion statistics parameter) can be described as incompressible states of $(\alpha +2p)$-anyons ($2p$ -- an even number).

4 pages