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Cited by 2,968

The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.

Nonabelions in the fractional quantum hall effect

Open access
Moore, Gregory, Read, Nicholas·1991·Nuclear Physics B
DOI 10.1016/0550-3213(91)90407-o
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Abstract

Applications of conformal field theory to the theory of fractional quantum Hall systems are discussed. In particular, Laughlin's wave function and its cousins are interpreted as conformal blocks in certain rational conformal field theories. Using this point of view a hamiltonian is constructed for electrons for which the ground state is known exactly and whose quasihole excitations have nonabelian statistics; we term these objects “nonabelions”. It is argued that universality classes of fractional quantum Hall systems can be characterized by the quantum numbers and statistics of their excitations. The relation between the order parameter in the fractional quantum Hall effect and the chiral algebra in rational conformal field theory is stressed, and new order parameters for several states are given.

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Metadata

Authors
Moore, G., & Read, N.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
1991-08
Volume
360
Issue
2-3
Pages
362-396
ISSN
0550-3213 (ISSN-L)
DOI
10.1016/0550-3213(91)90407-o
OpenAlex
W2159478153
Cited by
2,968
References
6
FWCI
9.82
Type
journal article
Language
en
Open access
hybrid

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CoChat. (2026). Citation check: Nonabelions in the fractional quantum hall effect. https://app.cochat.ai/papers/10.1016/0550-3213(91)90407-o
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Moore, G., & Read, N. (1991). Nonabelions in the fractional quantum hall effect. Nuclear Physics B. https://doi.org/10.1016/0550-3213(91)90407-o

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.