Lie algebraic similarity transformed Hamiltonians for lattice model systems

Simple item page
dc.citation.firstpage041114(R)en_US
dc.citation.issueNumber4en_US
dc.citation.journalTitlePhysical Review Ben_US
dc.citation.volumeNumber91en_US
dc.contributor.authorWahlen-Strothman, Jacob M.en_US
dc.contributor.authorJiménez-Hoyos, Carlos A.en_US
dc.contributor.authorHenderson, Thomas M.en_US
dc.contributor.authorScuseria, Gustavo E.en_US
dc.date.accessioned2016-01-29T21:44:39Zen_US
dc.date.available2016-01-29T21:44:39Zen_US
dc.date.issued2015en_US
dc.description.abstractWe present a class of Lie algebraic similarity transformations generated by exponentials of two-body on-site Hermitian operators whose Hausdorff series can be summed exactly without truncation. The correlators are defined over the entire lattice and include the Gutzwiller factor ni↑ni↓, and two-site products of density (ni↑+ni↓) and spin (ni↑−ni↓) operators. The resulting non-Hermitian many-body Hamiltonian can be solved in a biorthogonal mean-field approach with polynomial computational cost. The proposed similarity transformation generates locally weighted orbital transformations of the reference determinant. Although the energy of the model is unbound, projective equations in the spirit of coupled cluster theory lead to well-defined solutions. The theory is tested on the one- and two-dimensional repulsive Hubbard model where it yields accurate results for small and medium sized interaction strengths.en_US
dc.identifier.citationWahlen-Strothman, Jacob M., Jiménez-Hoyos, Carlos A., Henderson, Thomas M., et al.. "Lie algebraic similarity transformed Hamiltonians for lattice model systems." <i>Physical Review B,</i> 91, no. 4 (2015) American Physical Society: 041114(R). http://dx.doi.org/10.1103/PhysRevB.91.041114.en_US
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevB.91.041114en_US
dc.identifier.urihttps://hdl.handle.net/1911/88278en_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.titleLie algebraic similarity transformed Hamiltonians for lattice model systemsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
PhysRevB.91.041114.pdf
Size:
176.61 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Faculty Publications
Chemistry Publications
Physics and Astronomy Publications