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

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Michael A.I. Flohr

Externe Organisationen

  • Spanish National Research Council (CSIC)
  • Institute for Advanced Study (IAS)
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Details

OriginalspracheEnglisch
Seiten (von - bis)55-68
Seitenumfang14
FachzeitschriftModern Physics Letters A
Jahrgang11
Ausgabenummer1
PublikationsstatusVeröffentlicht - 1996
Extern publiziertJa

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.

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Fusion and tensoring of conformal field theory And composite fermion picture of fractional quantum hall effect. / Flohr, Michael A.I.
in: Modern Physics Letters A, Jahrgang 11, Nr. 1, 1996, S. 55-68.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Flohr MAI. Fusion and tensoring of conformal field theory And composite fermion picture of fractional quantum hall effect. Modern Physics Letters A. 1996;11(1):55-68. doi: 10.48550/arXiv.hep-th/9605152, 10.1142/S0217732396000084
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