Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model

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dc.citation.firstpage085101en_US
dc.citation.issueNumber8en_US
dc.citation.journalTitlePhysical Review Ben_US
dc.citation.volumeNumber92en_US
dc.contributor.authorJiménez-Hoyos, Carlos A.en_US
dc.contributor.authorScuseria, Gustavo E.en_US
dc.date.accessioned2015-10-30T15:40:41Zen_US
dc.date.available2015-10-30T15:40:41Zen_US
dc.date.issued2015en_US
dc.description.abstractWe introduce a mean-field and a perturbative approach, based on clusters, to describe the ground state of fermionic strongly correlated systems. In the cluster mean-field approach, the ground-state wave function is written as a simple tensor product over optimized cluster states. The optimization of the single-particle basis where the cluster mean field is expressed is crucial in order to obtain high-quality results. The mean-field nature of the Ansatz allows us to formulate a perturbative approach to account for intercluster correlations; other traditional many-body strategies can be easily devised in terms of the cluster states. We present benchmark calculations on the half-filled 1D and (square) 2D Hubbard model, as well as the lightly doped regime in 2D, using cluster mean-field and second-order perturbation theory. Our results indicate that, with sufficiently large clusters or to second-order in perturbation theory, a cluster-based approach can provide an accurate description of the Hubbard model in the considered regimes. Several avenues to improve upon the results presented in this work are discussed.en_US
dc.identifier.citationJiménez-Hoyos, Carlos A. and Scuseria, Gustavo E.. "Cluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard model." <i>Physical Review B,</i> 92, no. 8 (2015) American Physical Society: 085101. http://dx.doi.org/10.1103/PhysRevB.92.085101.en_US
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevB.92.085101en_US
dc.identifier.urihttps://hdl.handle.net/1911/82005en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsArticle 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.titleCluster-based mean-field and perturbative description of strongly correlated fermion systems: Application to the one- and two-dimensional Hubbard modelen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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