Volume 59, Number 1, July 2002
|Page(s)||94 - 99|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 June 2002|
Topological model of the composite fermions
Institute of Physics,
Wrocław University of Technology Wybrzeze Wyspiańskiego
27, 50-370 Wrocław, Poland
Corresponding author: firstname.lastname@example.org
Accepted: 3 April 2002
It is shown that composite fermions —particles which appear in fractional quantum Hall effect, and are statistically different from anyons— could be described within braid group formalism. In the proposed model some ways of exchange of bare particles of composite particles are restricted. The new group describing exchanges of particles is defined. The description of such a group is included and the unitary one-dimensional representation of this group is found. An explicit form of this group for two exemplary cases is presented.
PACS: 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) / 05.30.Pr – Fractional statistics systems (anyons, etc.)
© EDP Sciences, 2002
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