Generalized Hartree-Fock theory for the dispersion relations of interacting fermionic lattice systems

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dc.identifier.uri http://dx.doi.org/10.15488/9162
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/9215
dc.contributor.author Kraus, Christina V.
dc.contributor.author Osborne, Tobias J.
dc.date.accessioned 2019-12-18T07:03:12Z
dc.date.available 2019-12-18T07:03:12Z
dc.date.issued 2013
dc.identifier.citation Kraus, C.V.; Osborne, T.J.: Generalized Hartree-Fock theory for the dispersion relations of interacting fermionic lattice systems. In: Physical Review B 88 (2013), Nr. 19, 195126. DOI: https://doi.org/10.1103/PhysRevB.88.195126
dc.description.abstract We study the variational solution of generic interacting fermionic lattice systems using fermionic Gaussian states and show that the process of gaussification, leading to a nonlinear closed equation of motion for the covariance matrix, is locally optimal in time by relating it to the time-dependent variational principle. By linearizing our nonlinear equation of motion around the ground-state fixed point we describe a method to study low-lying excited states leading to a variational method to determine the dispersion relations of generic interacting fermionic lattice systems. This procedure is applied to study the attractive and repulsive Hubbard model on a two-dimensional lattice, as well as the stability of the Hofstadter butterfly structure in the presence of interactions. eng
dc.language.iso eng
dc.publisher College Park, MD : American Physical Society
dc.relation.ispartofseries Physical Review B 88 (2013), Nr. 19
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
dc.subject quantum system eng
dc.subject density matrix renormalization group eng
dc.subject projected entangled pair states eng
dc.subject multiscale entanglement renormalization ansatz eng
dc.subject.ddc 530 | Physik ger
dc.title Generalized Hartree-Fock theory for the dispersion relations of interacting fermionic lattice systems
dc.type article
dc.type Text
dc.relation.essn 2469-9969
dc.relation.issn 0163-1829
dc.relation.issn 0556-2805
dc.relation.issn 1098-0121
dc.relation.issn 2469-9950
dc.relation.doi https://doi.org/10.1103/PhysRevB.88.195126
dc.bibliographicCitation.issue 19
dc.bibliographicCitation.volume 88
dc.bibliographicCitation.firstPage 195126
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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