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dc.contributor.authorQin, Yan Qien_US
dc.contributor.authorHe, Yuan-Yaoen_US
dc.contributor.authorYou, Yi-Zhuangen_US
dc.contributor.authorLu, Zhong-Yien_US
dc.contributor.authorSen, Arnaben_US
dc.contributor.authorXu, Cenkeen_US
dc.contributor.authorMeng, Zi Yangen_US
dc.contributor.authorSandvik, Anders W.en_US
dc.date.accessioned2017-11-13T16:11:19Z
dc.date.available2017-11-13T16:11:19Z
dc.date.issued2017-09-22
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000411458600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationYan Qi Qin, Yuan-Yao He, Yi-Zhuang You, Zhong-Yi Lu, Arnab Sen, Anders W. Sandvik, Cenke Xu, Zi Yang Meng. 2017. "Duality between the deconfined quantum-critical point and the bosonic topological transition." Physical Review X, v. 7, Issue 3.
dc.identifier.issn2160-3308
dc.identifier.urihttps://hdl.handle.net/2144/25231
dc.description.abstractRecently, significant progress has been made in (2+1)-dimensional conformal field theories without supersymmetry. In particular, it was realized that different Lagrangians may be related by hidden dualities; i.e., seemingly different field theories may actually be identical in the infrared limit. Among all the proposed dualities, one has attracted particular interest in the field of strongly correlated quantum-matter systems: the one relating the easy-plane noncompact CP^1 model (NCCP^1) and noncompact quantum electrodynamics (QED) with two flavors (N = 2) of massless two-component Dirac fermions. The easy-plane NCCP^1 model is the field theory of the putative deconfined quantum-critical point separating a planar (XY) antiferromagnet and a dimerized (valence-bond solid) ground state, while N = 2 noncompact QED is the theory for the transition between a bosonic symmetry-protected topological phase and a trivial Mott insulator. In this work, we present strong numerical support for the proposed duality. We realize the N = 2 noncompact QED at a critical point of an interacting fermion model on the bilayer honeycomb lattice and study it using determinant quantum Monte Carlo (QMC) simulations. Using stochastic series expansion QMC simulations, we study a planar version of the S = 1/2 J-Q spin Hamiltonian (a quantum XY model with additional multispin couplings) and show that it hosts a continuous transition between the XY magnet and the valence-bond solid. The duality between the two systems, following from a mapping of their phase diagrams extending from their respective critical points, is supported by the good agreement between the critical exponents according to the proposed duality relationships. In the J-Q model, we find both continuous and first-order transitions, depending on the degree of planar anisotropy, with deconfined quantum criticality surviving only up to moderate strengths of the anisotropy. This explains previous claims of no deconfined quantum criticality in planar two-component spin models, which were in the strong-anisotropy regime, and opens doors to further investigations of the global phase diagram of systems hosting deconfined quantum-critical points.en_US
dc.description.sponsorshipThe authors thank Chong Wang and Meng Cheng for helpful discussions. Y. Q. Q., Y,-Y.H., Z.-Y.L., and Z. Y. M. are supported by the Ministry of Science and Technology of China under Grant No. 2016YFA0300502, the National Science Foundation of China under Grants No. 91421304, No. 11421092, No. 11474356, No. 11574359, and No. 11674370, and the National Thousand-Young-Talents Program of China. Y. Q. Q. would like to thank Boston University for support under its Condensed Matter Theory Visitors Program. Y.-Y. H. acknowledges the Cultivation of Outstanding Innovative Talents Program 2016 of Renmin University of China. The work of A. S. is partly supported through the Partner Group program between the Indian Association for the Cultivation of Science (Kolkata) and the Max Planck Institute for the Physics of Complex Systems (Dresden). A. W. S. is supported by the NSF under Grant No. DMR-1410126 and would also like to thank the Institute of Physics, Chinese Academy of Sciences for visitor support. C. X. is supported by the David and Lucile Packard Foundation and NSF Grant No. DMR-1151208. We thank the following institutions for allocation of CPU time: the Center for Quantum Simulation Sciences in the Institute of Physics, Chinese Academy of Sciences, the Physical Laboratory of High Performance Computing in the Renmin University of China, the Tianhe-1A platform at the National Supercomputer Center in Tianjin, and the Tianhe-2 platform at the National Supercomputer Center in Guangzhou. (2016YFA0300502 - Ministry of Science and Technology of China; 91421304 - National Science Foundation of China; 11421092 - National Science Foundation of China; 11474356 - National Science Foundation of China; 11574359 - National Science Foundation of China; 11674370 - National Science Foundation of China; National Thousand-Young-Talents Program of China; Boston University; Indian Association for the Cultivation of Science (Kolkata); Max Planck Institute for the Physics of Complex Systems (Dresden); DMR-1410126 - NSF; DMR-1151208 - NSF; David and Lucile Packard Foundation)en_US
dc.format.extent18 p.en_US
dc.languageEnglish
dc.language.isoen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofPhysical Review X
dc.rightsAttribution 4.0 Internationalen_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectPhysicsen_US
dc.subjectScience & technologyen_US
dc.subjectPhysical sciencesen_US
dc.subjectPhysics, multidisciplinaryen_US
dc.subjectElectric-magnetic dualityen_US
dc.subjectAbelian lattice modelsen_US
dc.subjectSine-Gordong equationen_US
dc.subjectTheta-parameteren_US
dc.subjectDimensionsen_US
dc.subjectMonopolesen_US
dc.subjectSystemsen_US
dc.subjectFielden_US
dc.titleDuality between the deconfined quantum-critical point and the bosonic topological transitionen_US
dc.typeArticleen_US
dc.identifier.doi10.1103/PhysRevX.7.031052
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0002-5638-4619 (Sandvik, Anders W)


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