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Interacting One-Dimensional Fermionic Symmetry-Protected Topological Phases

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dc.contributor.author Tang, Evelyn May Yin
dc.contributor.author Wen, Xiao-Gang
dc.date.accessioned 2012-10-10T20:53:41Z
dc.date.available 2012-10-10T20:53:41Z
dc.date.issued 2012-08
dc.date.submitted 2012-05
dc.identifier.issn 0031-9007
dc.identifier.issn 1079-7114
dc.identifier.uri http://hdl.handle.net/1721.1/73874
dc.description.abstract In free fermion systems with given symmetry and dimension, the possible topological phases are labeled by elements of only three types of Abelian groups, 0, Z[subscript 2], or Z. For example, noninteracting one-dimensional fermionic superconducting phases with S[subscript z] spin rotation and time-reversal symmetries are classified by Z. We show that with weak interactions, this classification reduces to Z[subscript 4]. Using group cohomology, one can additionally show that there are only four distinct phases for such one-dimensional superconductors even with strong interactions. Comparing their projective representations, we find that all these four symmetry-protected topological phases can be realized with free fermions. Further, we show that one-dimensional fermionic superconducting phases with Z[subscript n] discrete S[subscript z] spin rotation and time-reversal symmetries are classified by Z[subscript 4] when n is even and Z[subscript 2] when n is odd; again, all these strongly interacting topological phases can be realized by noninteracting fermions. Our approach can be applied to systems with other symmetries to see which one-dimensional topological phases can be realized with free fermions. en_US
dc.description.sponsorship National Science Foundation (U.S.) (Grant DMR-1005541) en_US
dc.description.sponsorship National Science Foundation (U.S.) (Grant 11074140) en_US
dc.language.iso en_US
dc.publisher American Physical Society en_US
dc.relation.isversionof http://dx.doi.org/10.1103/PhysRevLett.109.096403 en_US
dc.rights Article 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.source APS en_US
dc.title Interacting One-Dimensional Fermionic Symmetry-Protected Topological Phases en_US
dc.type Article en_US
dc.identifier.citation Tang, Evelyn, and Xiao-Gang Wen. “Interacting One-Dimensional Fermionic Symmetry-Protected Topological Phases.” Physical Review Letters 109.9 (2012). © 2012 American Physical Society en_US
dc.contributor.department Massachusetts Institute of Technology. Department of Physics en_US
dc.contributor.mitauthor Tang, Evelyn May Yin
dc.contributor.mitauthor Wen, Xiao-Gang
dc.relation.journal Physical Review Letters en_US
dc.identifier.mitlicense PUBLISHER_POLICY en_US
dc.eprint.version Final published version en_US
dc.type.uri http://purl.org/eprint/type/JournalArticle en_US
eprint.status http://purl.org/eprint/status/PeerReviewed en_US
dspace.orderedauthors Tang, Evelyn; Wen, Xiao-Gang en


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