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Linear-scaling implementation of molecular response theory in self-consistent field electronic-structure theory

Coriani, Sonia (author)
Host, Stinne (author)
Jansik, Branislav (author)
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Thogersen, Lea (author)
Olsen, Jeppe (author)
Jorgensen, Poul (author)
Reine, Simen (author)
Pawlowski, Filip (author)
Helgaker, Trygve (author)
Salek, Pawel (author)
KTH,Teoretisk kemi
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 (creator_code:org_t)
AIP Publishing, 2007
2007
English.
In: Journal of Chemical Physics. - : AIP Publishing. - 0021-9606 .- 1089-7690. ; 126:15, s. 11930-11935
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • A linear-scaling implementation of Hartree-Fock and Kohn-Sham self-consistent field theories for the calculation of frequency-dependent molecular response properties and excitation energies is presented, based on a nonredundant exponential parametrization of the one-electron density matrix in the atomic-orbital basis, avoiding the use of canonical orbitals. The response equations are solved iteratively, by an atomic-orbital subspace method equivalent to that of molecular-orbital theory. Important features of the subspace method are the use of paired trial vectors (to preserve the algebraic structure of the response equations), a nondiagonal preconditioner (for rapid convergence), and the generation of good initial guesses (for robust solution). As a result, the performance of the iterative method is the same as in canonical molecular-orbital theory, with five to ten iterations needed for convergence. As in traditional direct Hartree-Fock and Kohn-Sham theories, the calculations are dominated by the construction of the effective Fock/Kohn-Sham matrix, once in each iteration. Linear complexity is achieved by using sparse-matrix algebra, as illustrated in calculations of excitation energies and frequency-dependent polarizabilities of polyalanine peptides containing up to 1400 atoms.

Keyword

density-matrix
hartree-fock
direct optimization
equations

Publication and Content Type

ref (subject category)
art (subject category)

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