dc.contributor.author | Gu, Zheng-Cheng | |
dc.contributor.author | Wang, Juven C. | |
dc.contributor.author | Wen, Xiao-Gang | |
dc.date.accessioned | 2016-03-25T01:53:27Z | |
dc.date.available | 2016-03-25T01:53:27Z | |
dc.date.issued | 2016-03 | |
dc.date.submitted | 2015-12 | |
dc.identifier.issn | 2469-9950 | |
dc.identifier.issn | 2469-9969 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/101789 | |
dc.description.abstract | Quantum disordering a discrete-symmetry-breaking state by condensing domain walls can lead to a trivial symmetric insulator state. In this work, we show that if we bind a one-dimensional representation of the symmetry (such as a charge) to the intersection point of several domain walls, condensing such modified domain walls can lead to a nontrivial symmetry-protected topological (SPT) state. This result is obtained by showing that the modified domain-wall condensed state has a nontrivial SPT invariant, the symmetry-twist-dependent partition function. We propose two different kinds of field theories that can describe the above-mentioned SPT states. The first one is a Ginzburg-Landau–type nonlinear sigma model theory, but with an additional multikink domain-wall topological term. Such theory has an anomalous U[superscript k](1) symmetry but an anomaly-free Z[k over N] symmetry. The second one is a gauge theory, which is beyond Abelian Chern-Simons/BF gauge theories. We argue that the two field theories are equivalent at low energies. After coupling to the symmetry twists, both theories produce the desired SPT invariant. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMR-1005541) | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant NSFC 11274192) | en_US |
dc.description.sponsorship | BMO Financial Group | en_US |
dc.description.sponsorship | Templeton Foundation | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevB.93.115136 | 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 | American Physical Society | en_US |
dc.title | Multikink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF field theories | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Gu, Zheng-Cheng, Juven C. Wang, and Xiao-Gang Wen. “Multikink Topological Terms and Charge-Binding Domain-Wall Condensation Induced Symmetry-Protected Topological States: Beyond Chern-Simons/BF Field Theories.” Physical Review B 93, no. 11 (March 21, 2016). © 2016 American Physical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | en_US |
dc.contributor.mitauthor | Wang, Juven C. | en_US |
dc.contributor.mitauthor | Wen, Xiao-Gang | en_US |
dc.relation.journal | Physical Review B | 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 |
dc.date.updated | 2016-03-21T22:00:10Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | American Physical Society | |
dspace.orderedauthors | Gu, Zheng-Cheng; Wang, Juven C.; Wen, Xiao-Gang | en_US |
dc.identifier.orcid | https://orcid.org/0000-0001-5742-3395 | |
dc.identifier.orcid | https://orcid.org/0000-0002-5874-581X | |
mit.license | PUBLISHER_POLICY | en_US |