Fusion and tensoring of conformal field theory And composite fermion picture of fractional quantum hall effect

verfasst von: Michael A.I. Flohr
Abstract: We propose a new way for describing the transition between two quantum Hall effect states with different filling factors within the framework of rational conformal field theory. Using a particular class of nonunitary theories, we explicitly recover Jain's picture of attaching flux quanta by the fusion rules of primary fields. Filling higher Landau levels of composite fermions can be described by taking tensor products of conformal theories. The usual projection to the lowest Landau level corresponds then to a simple coset of these tensor products with several U(1)-theories divided out. These two operations -the fusion map and the tensor map - can explain the Jain series and all other observed fractions as exceptional cases. Within our scheme of transitions we naturally find a field with the experimentally observed universal critical exponent 7/3.
Externe Organisation(en): Spanish National Research Council (CSIC)
Institute for Advanced Study (IAS)
Typ: Artikel
Journal: Modern Physics Letters A
Band: 11
Seiten: 55-68
Anzahl der Seiten: 14
ISSN: 0217-7323
Publikationsdatum: 1996
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Kern- und Hochenergiephysik, Astronomie und Astrophysik, Allgemeine Physik und Astronomie
Elektronische Version(en): https://doi.org/10.48550/arXiv.hep-th/9605152 (Zugang: Offen)
https://doi.org/10.1142/S0217732396000084 (Zugang: Geschlossen)

BibTeX

@article{28831814be66425081832890a9281747,
title = "Fusion and tensoring of conformal field theory And composite fermion picture of fractional quantum hall effect",
abstract = "We propose a new way for describing the transition between two quantum Hall effect states with different filling factors within the framework of rational conformal field theory. Using a particular class of nonunitary theories, we explicitly recover Jain's picture of attaching flux quanta by the fusion rules of primary fields. Filling higher Landau levels of composite fermions can be described by taking tensor products of conformal theories. The usual projection to the lowest Landau level corresponds then to a simple coset of these tensor products with several U(1)-theories divided out. These two operations -the fusion map and the tensor map - can explain the Jain series and all other observed fractions as exceptional cases. Within our scheme of transitions we naturally find a field with the experimentally observed universal critical exponent 7/3.",
author = "Flohr, {Michael A.I.}",
year = "1996",
doi = "10.48550/arXiv.hep-th/9605152",
language = "English",
volume = "11",
pages = "55--68",
journal = "Modern Physics Letters A",
issn = "0217-7323",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",
}