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Electronic excited-state energies from a linear response theory based on the ground-state two-electron reduced density matrix

J. Chem. Phys. 128, 114109 (2008); doi:10.1063/1.2890961

Published 20 March 2008

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Loren Greenman and David A. Mazziotti
Department of Chemistry and The James Franck Institute, The University of Chicago, Chicago, Illinois 60637, USA
Ground-state two-particle reduced density matrices (2-RDMs) are used to calculate excited-state energy spectra. Solving the Schrödinger equation for excited states dominated by single excitations from the ground-state wavefunction requires the ground-state 2- and 3-RDMs. The excited states, however, can be obtained without a knowledge of the ground-state 3-RDM by two methods: (i) cumulant expansion methods which build the 3-RDM from the 2-RDM, and (ii) double commutator methods which eliminate the 3-RDM. Previous work [Mazziotti, Phys. Rev. A 68, 052501 (2003)] examined the accuracy of excited states extracted from ground-state 2-RDMs, which were calculated by full configuration interaction or the variational 2-RDM method. In this work we employ (i) advances in semidefinite programming to treat the excited states of water and hydrogen fluoride and chains of hydrogen atoms, and (ii) the addition of partial three-particle N-representability conditions to compute more accurate ground-state 2-RDMs. With the hydrogen chains we examine the metal-to-insulator transition as measured by the band gap (the difference between the ground-state and the first excited-state energies), which is difficult for excited-state methods to capture. ©2008 American Institute of Physics
History: Received 9 January 2008; accepted 12 February 2008; published 20 March 2008
Permalink: http://link.aip.org/link/?JCPSA6/128/114109/1
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KEYWORDS and PACS

Keywords
PACS
  • 71.30.+h
    Metal-insulator transitions and other electronic transitions
  • 71.15.Qe
    Excited states: methodology (condensed matter electronic structure)
  • 71.15.Ap
    Basis sets and related methodology (condensed matter electronic structure)
  • YEAR: 2008

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PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
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