Effective theories of the fractional quantum Hall effect: Hierarchy construction
Journal Article
·
· Physical Review, B: Condensed Matter; (USA)
- School of Natural Sciences, Institute of Advanced Study, Princeton, NJ (USA)
The effective theories for the hierarchical fractional quantum Hall effect (FQHE) are proposed. We obtain the quantum numbers of the quasiparticles and the structure of the edge excitations for the general hierarchical FQHE state. It is shown that at the filling fractions {nu}={ital k}/(2{ital km}{plus minus}1) the Jain states and the hierarchical FQHE states give rise to the same quasiparticles and edge excitations and have the same effective theories (in the dual form). This suggests that these FQHE states are equivalent despite having been obtained from two different schemes.
- DOE Contract Number:
- FG02-90ER40542
- OSTI ID:
- 6196901
- Journal Information:
- Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 42:13; ISSN PRBMD; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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