Model derived reduced density matrix restrictions for correlated fermions

Joel H. Sebold, Jerome Percus

Research output: Contribution to journalArticle

Abstract

We illustrate the importance of restrictions in improving ground state energy lower bounds of a model of correlated electrons on a lattice. A reduced density matrix (RDM) formalism is employed. The restrictions are derived from closely related and exactly solved models. Such conditions raise the estimates without resorting to increasing the size of the physical space, thus improving computational efficiency. Our main motivation for this work is the problematic picture of Hohenberg-Kohn-Sham density functional theory for strongly correlated fermions. We find that using small cluster representations, errors can be reduced by more than 50% depending on the nature of the model and parameter regime studied. We obtain results for one- and two-dimensional lattices at half filling in the thermodynamic limit, although the method could be easily adapted to finite molecular structures as well.

Original languageEnglish (US)
Pages (from-to)6606-6612
Number of pages7
JournalJournal of Chemical Physics
Volume104
Issue number17
StatePublished - 1996

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Fermions
constrictions
fermions
Computational efficiency
Ground state
Molecular structure
Density functional theory
molecular structure
Thermodynamics
density functional theory
formalism
thermodynamics
ground state
Electrons
estimates
electrons
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Model derived reduced density matrix restrictions for correlated fermions. / Sebold, Joel H.; Percus, Jerome.

In: Journal of Chemical Physics, Vol. 104, No. 17, 1996, p. 6606-6612.

Research output: Contribution to journalArticle

Sebold, JH & Percus, J 1996, 'Model derived reduced density matrix restrictions for correlated fermions', Journal of Chemical Physics, vol. 104, no. 17, pp. 6606-6612.
Sebold, Joel H. ; Percus, Jerome. / Model derived reduced density matrix restrictions for correlated fermions. In: Journal of Chemical Physics. 1996 ; Vol. 104, No. 17. pp. 6606-6612.
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