Exclusion Statistics of Quasiparticles in Condensed States of Composite Fermion Excitations

Details Exclusion Statistics of Quasiparticles in Condensed States of Composite Fermion Excitations Exclusion Statistics of Quasiparticles in Condensed States of Composite Fermion Excitations

2003-08-22

arxiv.org/abs/cond-mat/0308447v2

Phys. Rev. B (Brief Reports) 68 (2003) 153309

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevB.68.153309

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).

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