Multireference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model

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dc.citation.firstpage195109
dc.citation.issueNumber19
dc.citation.journalTitlePhysical Review B
dc.citation.volumeNumber89
dc.contributor.authorRodríguez-Guzmán, R.
dc.contributor.authorJiménez-Hoyos, Carlos A.
dc.contributor.authorScuseria, Gustavo E.
dc.date.accessioned2016-01-29T20:03:39Z
dc.date.available2016-01-29T20:03:39Z
dc.date.issued2014
dc.description.abstractThe few determinant (FED) approximation introduced in our previous work [Phys. Rev. B 87, 235129 (2013)] is used to describe the ground state, characterized by well-defined spin and space group symmetry quantum numbers as well as doping fractions Ne/Nsites, of one-dimensional Hubbard lattices with nearest-neighbor hopping and periodic boundary conditions. Within this multireference scheme, each ground state is expanded in a given number of nonorthogonal and variationally determined symmetry-projected configurations. The results obtained for the ground-state and correlation energies of half-filled and doped lattices with 30, 34, and 50 sites compare well with the exact Lieb-Wu solutions as well as with those obtained with other state-of-the-art approximations. The structure of the intrinsic symmetry-broken determinants resulting from the variational procedure is interpreted in terms of solitons whose translational and breathing motions can be regarded as basic units of quantum fluctuations. It is also shown that in the case of doped one-dimensional lattices, a part of such fluctuations can also be interpreted in terms of polarons. In addition to momentum distributions, both spin-spin and density-density correlation functions are studied as functions of doping. The spectral functions and density of states, computed with an ansatz whose quality can be well controlled by the number of symmetry-projected configurations used to approximate the Ne±1 electron systems, display features beyond a simple quasiparticle distribution, as well as spin-charge separation trends.
dc.identifier.citationRodríguez-Guzmán, R., Jiménez-Hoyos, Carlos A. and Scuseria, Gustavo E.. "Multireference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model." <i>Physical Review B,</i> 89, no. 19 (2014) American Physical Society: 195109. http://dx.doi.org/10.1103/PhysRevB.89.195109.
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevB.89.195109
dc.identifier.urihttps://hdl.handle.net/1911/88273
dc.language.isoeng
dc.publisherAmerican Physical Society
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.
dc.titleMultireference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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