Two new constraints for the cumulant matrix
dc.contributor.author
dc.date.accessioned
2015-05-04T09:36:13Z
dc.date.available
2016-05-04T03:00:05Z
dc.date.issued
2014
dc.identifier.issn
0021-9606
dc.identifier.uri
dc.description.abstract
We suggest new strict constraints that the two-particle cumulant matrix should fulfill. The constraints are obtained from the decomposition of〈Ŝ²〉, previously developed in our laboratory, and the vanishing number of electrons shared by two non-interacting fragments. The conditions impose stringent constraints into the cumulant structure without any need to perform an orbital optimization procedure thus carrying very small or no computational effort. These constraints are tested on the series of Piris natural orbital functionals (PNOF), which are among the most accurate ones available in the literature. Interestingly, even though all PNOF cumulants ensure correct overall 〈Ŝ²〉 values, none of them is consistent with the local spin structure of systems that dissociate more than one pair of electrons. A careful analysis of the local spin components reveals the most important missing contributions in the cumulant expression thus suggesting a means to improve PNOF5. The constraints provide an inexpensive tool for the construction and testing of cumulant structures that complement previously known conditions such as the N-representability or the square of the total spin angular momentum, 〈Ŝ²〉
dc.description.sponsorship
This research has been funded by the European Union (EU) under the Marie Curie Career Integration Grant No. PCI09-GA-2011-294240 (E.M.), the Spanish MINECO Europa Excelencia project CTQ2013-41236-ERC (E.M.), the Spanish MICINN Project Nos. CTQ2011-23441/BQU and CTQ2011-23156/BQU, the Eusko Jaurlaritza (SAIOTEK Program S-PC13UN005), and by the FEDER Grant No. UNGI08-4E-003 (European Fund for Regional Development). We are grateful for the computational resources granted at the MareNostrum computer of the Barcelona Supercomputing Center
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics (AIP)
dc.relation
info:eu-repo/grantAgreement/MINECO//CTQ2013-41236-ERC/ES/UNA NUEVA ESTRATEGIA EN DFT: FUNCIONALES HIBRIDOS ADAPTADOS A LA CORRELACION ELECTRONICA/
info:eu-repo/grantAgreement/MICINN//CTQ2011-23441/ES/NUEVOS ENFOQUES PARA EL ESTUDIO COMPUTACIONAL DE BIOMOLECULAS, INTERACCIONES DE ESPIN EN AGREGADOS METALICOS Y SISTEMAS MOLECULARES DE ALMACENAMIENTO DE HIDROGENO/
info:eu-repo/grantAgreement/MICINN//CTQ2011-23156/ES/AVANCES EN CATALISIS Y AROMATICIDAD/
dc.relation.isformatof
Reproducció digital del document publicat a: http://dx.doi.org/10.1063/1.4903449
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© Journal of Chemical Physics, 2014, vol. 141, p. 234101
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Articles publicats (D-Q)
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Tots els drets reservats
dc.subject
dc.title
Two new constraints for the cumulant matrix
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
12
dc.date.embargoEndDate
info:eu-repo/date/embargoEnd/2015-12-15
dc.relation.projectID
info:eu-repo/grantAgreement/EC/FP7/294240/EU/Development of new non-empirical DFT functionals./NEWDFTFUNCT
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.contributor.funder
dc.relation.FundingProgramme
dc.relation.ProjectAcronym
dc.identifier.eissn
1089-7690