Show simple item record

dc.contributor.authorBarkeshli, Maissam
dc.contributor.authorWen, Xiao-Gang
dc.date.accessioned2010-10-04T13:02:47Z
dc.date.available2010-10-04T13:02:47Z
dc.date.issued2010-01
dc.date.submitted2009-10
dc.identifier.issn1098-0121
dc.identifier.issn1550-235X
dc.identifier.urihttp://hdl.handle.net/1721.1/58842
dc.description.abstractWe study U(1)×U(1)⋊Z2 Chern-Simons theory with integral coupling constants (k,l) and its relation to certain non-Abelian fractional quantum Hall (FQH) states. For the U(1)×U(1)⋊Z2 Chern-Simons theory, we show how to compute the dimension of its Hilbert space on genus g surfaces and how this yields the quantum dimensions of topologically distinct excitations. We find that Z2 vortices in the U(1)×U(1)⋊Z2 Chern-Simons theory carry non-Abelian statistics and we show how to compute the dimension of the Hilbert space in the presence of n pairs of Z2 vortices on a sphere. These results allow us to show that l=3 U(1)×U(1)⋊Z2 Chern-Simons theory is the low-energy effective theory for the Z4 parafermion (Read-Rezayi) fractional quantum Hall states, which occur at filling fraction ν=2/2k−3. The U(1)×U(1)⋊Z2 theory is more useful than an alternative SU(2)4×U(1)∕U(1) Chern-Simons theory because the fields are more closely related to physical degrees of freedom of the electron fluid and to an Abelian bilayer phase on the other side of a two-component to single-component quantum phase transition. We discuss the possibility of using this theory to understand further phase transitions in FQH systems, especially the ν=2∕3 phase diagram.en_US
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevB.81.045323en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAPSen_US
dc.titleU(1) X U(1) XI Z(2) Chern-Simons theory and Z(4) parafermion fractional quantum Hall statesen_US
dc.typeArticleen_US
dc.identifier.citationMaissam Barkeshli and Xiao-Gang Wen (2010). U(1) X U(1) XI Z(2) Chern-Simons theory and Z(4) parafermion fractional quantum Hall states. Phys. rev. B 81: 045323/1-18. © 2010 The American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Physicsen_US
dc.contributor.approverWen, Xiao-Gang
dc.contributor.mitauthorBarkeshli, Maissam
dc.contributor.mitauthorWen, Xiao-Gang
dc.relation.journalPhysical Review Ben_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsBarkeshli, Maissam; Wen, Xiao-Gangen
dc.identifier.orcidhttps://orcid.org/0000-0002-5874-581X
mit.licensePUBLISHER_POLICYen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record