Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms

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dc.citation.firstpage41041en_US
dc.citation.issueNumber4en_US
dc.citation.journalTitlePhysical Review Xen_US
dc.citation.volumeNumber5en_US
dc.contributor.authorLeBlanc, J.P.F.en_US
dc.contributor.authorAntipov, Andrey E.en_US
dc.contributor.authorBecca, Federicoen_US
dc.contributor.authorBulik, Ireneusz W.en_US
dc.contributor.authorChan, Garnet Kin-Licen_US
dc.contributor.authorChung, Chia-Minen_US
dc.contributor.authorDeng, Youjinen_US
dc.contributor.authorFerrero, Michelen_US
dc.contributor.authorHenderson, Thomas M.en_US
dc.contributor.authorJiménez-Hoyos, Carlos A.en_US
dc.contributor.authorKozik, E.en_US
dc.contributor.authorLiu, Xuan-Wenen_US
dc.contributor.authorMillis, Andrew J.en_US
dc.contributor.authorProkof’ev, N.V.en_US
dc.contributor.authorQin, Mingpuen_US
dc.contributor.authorScuseria, Gustavo E.en_US
dc.contributor.authorShi, Haoen_US
dc.contributor.authorSvistunov, B.V.en_US
dc.contributor.authorTocchio, Luca F.en_US
dc.contributor.authorTupitsyn, I.S.en_US
dc.contributor.authorWhite, Steven R.en_US
dc.contributor.authorZhang, Shiweien_US
dc.contributor.authorZheng, Bo-Xiaoen_US
dc.contributor.authorZhu, Zhenyueen_US
dc.contributor.authorGull, Emanuelen_US
dc.contributor.authorSimons Collaboration on the Many-Electron Problemen_US
dc.date.accessioned2016-01-29T21:44:39Zen_US
dc.date.available2016-01-29T21:44:39Zen_US
dc.date.issued2015en_US
dc.description.abstractNumerical results for ground-state and excited-state properties (energies, double occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment of our ability to compute accurate results in the thermodynamic limit. Many methods are employed, including auxiliary-field quantum Monte Carlo, bare and bold-line diagrammatic Monte Carlo, method of dual fermions, density matrix embedding theory, density matrix renormalization group, dynamical cluster approximation, diffusion Monte Carlo within a fixed-node approximation, unrestricted coupled cluster theory, and multireference projected Hartree-Fock methods. Comparison of results obtained by different methods allows for the identification of uncertainties and systematic errors. The importance of extrapolation to converged thermodynamic-limit values is emphasized. Cases where agreement between different methods is obtained establish benchmark results that may be useful in the validation of new approaches and the improvement of existing methods.en_US
dc.identifier.citationLeBlanc, J.P.F., Antipov, Andrey E., Becca, Federico, et al.. "Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms." <i>Physical Review X,</i> 5, no. 4 (2015) American Physical Society: 041041. http://dx.doi.org/10.1103/PhysRevX.5.041041.en_US
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevX.5.041041en_US
dc.identifier.urihttps://hdl.handle.net/1911/88279en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsThis article is available under the terms of the Creative Commons Attribution 3.0 License.en_US
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en_US
dc.titleSolutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithmsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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