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Article: Reanalysis of fractional quantum Hall effect for vanishing range interactions

TitleReanalysis of fractional quantum Hall effect for vanishing range interactions
Authors
Issue Date1992
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B, 1992, v. 46 n. 4, p. 2632-2635 How to Cite?
AbstractWe study two-dimensional bosons and fermions in a magnetic field with vanishing range interactions. This model was previously proposed for fermions to illustrate the exactness and uniqueness of Laughlins wave function as a ground state within the lowest Landau level. We show that the restriction to the lowest Landau level is not a valid approximation of these models for arbitrarily high (but finite) cyclotron frequency, since it predicts fractional quantum Hall effect (FQHE) at an incorrect filling factor. In particular, in contrast to the lowest-Landau-level theory, hard-core bosons are shown not to exhibit any FQHE. However, the set of filling factors for the FQHE are identical in the two cases, thus reaffirming the universality of the FQHE. © 1992 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/175087
ISSN
2001 Impact Factor: 3.07
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhang, FCen_US
dc.contributor.authorMa, Men_US
dc.contributor.authorZhu, Yen_US
dc.contributor.authorJain, JKen_US
dc.date.accessioned2012-11-26T08:49:09Z-
dc.date.available2012-11-26T08:49:09Z-
dc.date.issued1992en_US
dc.identifier.citationPhysical Review B, 1992, v. 46 n. 4, p. 2632-2635en_US
dc.identifier.issn0163-1829en_US
dc.identifier.urihttp://hdl.handle.net/10722/175087-
dc.description.abstractWe study two-dimensional bosons and fermions in a magnetic field with vanishing range interactions. This model was previously proposed for fermions to illustrate the exactness and uniqueness of Laughlins wave function as a ground state within the lowest Landau level. We show that the restriction to the lowest Landau level is not a valid approximation of these models for arbitrarily high (but finite) cyclotron frequency, since it predicts fractional quantum Hall effect (FQHE) at an incorrect filling factor. In particular, in contrast to the lowest-Landau-level theory, hard-core bosons are shown not to exhibit any FQHE. However, the set of filling factors for the FQHE are identical in the two cases, thus reaffirming the universality of the FQHE. © 1992 The American Physical Society.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review Ben_US
dc.titleReanalysis of fractional quantum Hall effect for vanishing range interactionsen_US
dc.typeArticleen_US
dc.identifier.emailZhang, FC: fuchun@hkucc.hku.hken_US
dc.identifier.authorityZhang, FC=rp00840en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1103/PhysRevB.46.2632en_US
dc.identifier.scopuseid_2-s2.0-35949007377en_US
dc.identifier.volume46en_US
dc.identifier.issue4en_US
dc.identifier.spage2632en_US
dc.identifier.epage2635en_US
dc.identifier.isiWOS:A1992JE92800082-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridZhang, FC=14012468800en_US
dc.identifier.scopusauthoridMa, M=7202445040en_US
dc.identifier.scopusauthoridZhu, Y=36709136000en_US
dc.identifier.scopusauthoridJain, JK=7102269763en_US

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