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Fractional Quantum Hall Effect, Composite Fermions and Exotic Spinors

1995/08/16 by Torsten Aßelmeyer-Maluga, Torsten Asselmeyer, Asselmeyer, Torsten +2
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/9508053

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arxiv created 1995/08/16 · openalex publication_date 1995/08/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A topological interpretation of the electron--electron interaction under FQHE conditions gives rise to the existence of some kind of composite fermions. The interaction term is similar to the Coulomb interaction and produces punctures in the configuration space which change its topology. Now the relevant configuration space is not simply connected and as a consequence, ``new'' fermions, so called ``exotic spinors'', appear. We argue that composite fermions may be interpreted as exotic spinors. The denominator of the filling factor is calculated to be an odd number. We point out further possible relevance of exotic spinors.

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