dc.contributor.author | Mei, Jia-Wei | |
dc.contributor.author | Wen, Xiao-Gang | |
dc.date.accessioned | 2015-03-24T17:29:19Z | |
dc.date.available | 2015-03-24T17:29:19Z | |
dc.date.issued | 2015-03 | |
dc.date.submitted | 2015-02 | |
dc.identifier.issn | 1098-0121 | |
dc.identifier.issn | 1550-235X | |
dc.identifier.uri | http://hdl.handle.net/1721.1/96153 | |
dc.description.abstract | We implement the universal wave-function overlap (UWFO) method to extract modular S and T matrices for topological orders in Gutzwiller-projected parton wave functions (GPWFs). The modular S and T matrices generate a projective representation of SL(2,Z) on the degenerate-ground-state Hilbert space on a torus and may fully characterize the 2+1D topological orders, i.e., the quasiparticle statistics and chiral central charge (up to E[subscript 8] bosonic quantum Hall states). We use the variational Monte Carlo method to computed the S and T matrices of the chiral spin liquid (CSL) constructed by the GPWF on the square lattice, and we confirm that the CSL carries the same topological order as the ν=[1 over 2] bosonic Laughlin state. We find that the nonuniversal exponents in the UWFO can be small, and direct numerical computation can be applied on relatively large systems. The UWFO may be a powerful method to calculate the topological order in GPWFs. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMR-1005541) | en_US |
dc.description.sponsorship | National Natural Science Foundation (China) (Grant 11274192) | en_US |
dc.description.sponsorship | BMO Financial Group | en_US |
dc.description.sponsorship | Templeton Foundation | en_US |
dc.description.sponsorship | Canada. Industry Canada | en_US |
dc.description.sponsorship | Ontario. Ministry of Research and Innovation | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevB.91.125123 | 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 | Modular matrices from universal wave-function overlaps in Gutzwiller-projected parton wave functions | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Mei, Jia-Wei, and Xiao-Gang Wen. “Modular Matrices from Universal Wave-Function Overlaps in Gutzwiller-Projected Parton Wave Functions.” Phys. Rev. B 91, no. 12 (March 2015). © 2015 American Physical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | 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 | 2015-03-12T22:00:12Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | American Physical Society | |
dspace.orderedauthors | Mei, Jia-Wei; Wen, Xiao-Gang | en_US |
dc.identifier.orcid | https://orcid.org/0000-0002-5874-581X | |
mit.license | PUBLISHER_POLICY | en_US |
mit.metadata.status | Complete | |