Details
| Original language | English |
|---|---|
| Pages (from-to) | 55-68 |
| Number of pages | 14 |
| Journal | Modern Physics Letters A |
| Volume | 11 |
| Issue number | 1 |
| Publication status | Published - 1996 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
- Physics and Astronomy(all)
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In: Modern Physics Letters A, Vol. 11, No. 1, 1996, p. 55-68.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Fusion and tensoring of conformal field theory And composite fermion picture of fractional quantum hall effect
AU - Flohr, Michael A.I.
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0003126456&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/9605152
DO - 10.48550/arXiv.hep-th/9605152
M3 - Article
AN - SCOPUS:0003126456
VL - 11
SP - 55
EP - 68
JO - Modern Physics Letters A
JF - Modern Physics Letters A
SN - 0217-7323
IS - 1
ER -