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

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dc.citation.firstpage41041
dc.citation.issueNumber4
dc.citation.journalTitlePhysical Review X
dc.citation.volumeNumber5
dc.contributor.authorLeBlanc, J.P.F.
dc.contributor.authorAntipov, Andrey E.
dc.contributor.authorBecca, Federico
dc.contributor.authorBulik, Ireneusz W.
dc.contributor.authorChan, Garnet Kin-Lic
dc.contributor.authorChung, Chia-Min
dc.contributor.authorDeng, Youjin
dc.contributor.authorFerrero, Michel
dc.contributor.authorHenderson, Thomas M.
dc.contributor.authorJiménez-Hoyos, Carlos A.
dc.contributor.authorKozik, E.
dc.contributor.authorLiu, Xuan-Wen
dc.contributor.authorMillis, Andrew J.
dc.contributor.authorProkof’ev, N.V.
dc.contributor.authorQin, Mingpu
dc.contributor.authorScuseria, Gustavo E.
dc.contributor.authorShi, Hao
dc.contributor.authorSvistunov, B.V.
dc.contributor.authorTocchio, Luca F.
dc.contributor.authorTupitsyn, I.S.
dc.contributor.authorWhite, Steven R.
dc.contributor.authorZhang, Shiwei
dc.contributor.authorZheng, Bo-Xiao
dc.contributor.authorZhu, Zhenyue
dc.contributor.authorGull, Emanuel
dc.contributor.authorSimons Collaboration on the Many-Electron Problem
dc.date.accessioned2016-01-29T21:44:39Z
dc.date.available2016-01-29T21:44:39Z
dc.date.issued2015
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.
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.
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevX.5.041041
dc.identifier.urihttps://hdl.handle.net/1911/88279
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rightsThis article is available under the terms of the Creative Commons Attribution 3.0 License.
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/
dc.titleSolutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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