New implementation of composite fermions in terms of subgroups of a braid group

The new implementation of composite fermions and more generally — of composite anyons is formulated, exploiting one-dimensional unitary representations of appropriately constructed subgroups of the full braid group. The nature of hypothetical fluxes attached to the Jain's composite fermions is...

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Bibliographic Details
Published in:Physics letters. A 2009-12, Vol.374 (2), p.346-350
Main Authors: Jacak, J., Jóźwiak, I., Jacak, L.
Format: Article
Language:English
Subjects:
Anyons
Braid groups
Composite fermions
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Summary:The new implementation of composite fermions and more generally — of composite anyons is formulated, exploiting one-dimensional unitary representations of appropriately constructed subgroups of the full braid group. The nature of hypothetical fluxes attached to the Jain's composite fermions is explained via additional cyclotron trajectory loops consistently with the braid subgroup structure. It is demonstrated that composite fermions are proper 2D particles (not an auxiliary construction), but associated with braid subgroups instead of the full braid group.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2009.10.075