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dc.contributor.authorCort Barrada, Luis
dc.contributor.authorKarlsson, Daniel
dc.contributor.authorLani, Giovanna
dc.contributor.authorvan Leeuwen, Robert
dc.date.accessioned2017-05-18T08:40:50Z
dc.date.available2017-05-18T08:40:50Z
dc.date.issued2017
dc.identifier.citationCort Barrada, L., Karlsson, D., Lani, G., & van Leeuwen, R. (2017). Time-dependent density-functional theory for strongly interacting electrons. <em>Physical Review A</em>, 95 (4), 042505. <a href="https://doi.org/10.1103/PhysRevA.95.042505">doi:10.1103/PhysRevA.95.042505</a>
dc.identifier.otherTUTKAID_73659
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/54022
dc.description.abstractWe consider an analytically solvable model of two interacting electrons that allows for the calculation of the exact exchange-correlation kernel of time-dependent density functional theory. This kernel, as well as the corresponding density response function, is studied in the limit of large repulsive interactions between the electrons and we give analytical results for these quantities as an asymptotic expansion in powers of the square root of the interaction strength. We find that in the strong interaction limit the three leading terms in the expansion of the kernel act instantaneously while memory terms only appear in the next orders. We further derive an alternative expansion for the kernel in the strong interaction limit on the basis of the theory developed previously [Phys. Chem. Chem. Phys. 18, 21092 (2016)] using the formalism of strictly correlated electrons in the adiabatic approximation. We find that the first two leading terms in this series, corresponding to the strictly correlated limit and its zero-point vibration correction, coincide with the two leading terms of the exact expansion. We finally analyze the spatial nonlocality of these terms and show when the adiabatic approximation breaks down. The ability to reproduce the exact kernel in the strong interaction limit indicates that the adiabatic strictly correlated electron formalism is useful for studying the density response and excitation properties of other systems with strong electronic interactions.
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.ispartofseriesPhysical Review A
dc.subject.otherelectrons
dc.subject.othertime-dependent density functional theory
dc.titleTime-dependent density-functional theory for strongly interacting electrons
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201705022139
dc.contributor.laitosFysiikan laitosfi
dc.contributor.laitosDepartment of Physicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2017-05-02T09:15:15Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.relation.issn2469-9926
dc.relation.volume95
dc.type.versionpublishedVersion
dc.rights.copyright© 2017 American Physical Society. Published in this repository with the kind permission of the publisher.
dc.rights.accesslevelopenAccessfi
dc.relation.doi10.1103/PhysRevA.95.042505


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