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Article: Fractional quantum Hall states in two-dimensional electron systems with anisotropic interactions

TitleFractional quantum Hall states in two-dimensional electron systems with anisotropic interactions
Authors
Issue Date2012
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B - Condensed Matter And Materials Physics, 2012, v. 86 n. 3 How to Cite?
AbstractWe study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum Hall system by using an exact diagonalization method on small systems in torus geometry. For weak anisotropy the system remains to be an incompressible quantum liquid, although anisotropy manifests itself in density correlation functions and excitation spectra. When the strength of anisotropy increases, we find the system develops a Hall-smectic-like phase with a one-dimensional charge density wave order and is unstable towards the one-dimensional crystal in the strong anisotropy limit. In all three phases of the Laughlin liquid, Hall-smectic-like, and crystal phases the ground state of the anisotropic Coulomb system can be well described by a family of model wave functions generated by an anisotropic projection Hamiltonian. We discuss the relevance of the results to the geometrical description of fractional quantum Hall states proposed by Haldane. © 2012 American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/159794
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Hen_HK
dc.contributor.authorNarayanan, Ren_HK
dc.contributor.authorWan, Xen_HK
dc.contributor.authorZhang, Fen_HK
dc.date.accessioned2012-08-16T05:56:40Z-
dc.date.available2012-08-16T05:56:40Z-
dc.date.issued2012en_HK
dc.identifier.citationPhysical Review B - Condensed Matter And Materials Physics, 2012, v. 86 n. 3en_HK
dc.identifier.issn1098-0121en_HK
dc.identifier.urihttp://hdl.handle.net/10722/159794-
dc.description.abstractWe study the anisotropic effect of the Coulomb interaction on a 1/3-filling fractional quantum Hall system by using an exact diagonalization method on small systems in torus geometry. For weak anisotropy the system remains to be an incompressible quantum liquid, although anisotropy manifests itself in density correlation functions and excitation spectra. When the strength of anisotropy increases, we find the system develops a Hall-smectic-like phase with a one-dimensional charge density wave order and is unstable towards the one-dimensional crystal in the strong anisotropy limit. In all three phases of the Laughlin liquid, Hall-smectic-like, and crystal phases the ground state of the anisotropic Coulomb system can be well described by a family of model wave functions generated by an anisotropic projection Hamiltonian. We discuss the relevance of the results to the geometrical description of fractional quantum Hall states proposed by Haldane. © 2012 American Physical Society.en_HK
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_HK
dc.relation.ispartofPhysical Review B - Condensed Matter and Materials Physicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleFractional quantum Hall states in two-dimensional electron systems with anisotropic interactionsen_HK
dc.typeArticleen_HK
dc.identifier.emailWang, H: wangh75@hku.hken_HK
dc.identifier.emailZhang, F: fuchun@hkucc.hku.hken_HK
dc.identifier.authorityWang, H=rp01600en_HK
dc.identifier.authorityZhang, F=rp00840en_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.86.035122en_HK
dc.identifier.scopuseid_2-s2.0-84864626982en_HK
dc.identifier.hkuros204022en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84864626982&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume86en_HK
dc.identifier.issue3en_HK
dc.identifier.isiWOS:000306410700001-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWang, H=45561831300en_HK
dc.identifier.scopusauthoridNarayanan, R=55031576400en_HK
dc.identifier.scopusauthoridWan, X=7202533437en_HK
dc.identifier.scopusauthoridZhang, F=14012468800en_HK

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