Kadanoff-Baym approach to double-excitations in finite systems

Details Kadanoff-Baym approach to double-excitations in finite systems Kadanoff-Baym approach to double-excitations in finite systems

2011-08-20

arxiv.org/abs/1108.4106v1

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, 10 figures

Scientific paper

We benchmark many-body perturbation theory by studying neutral, as well as non-neutral, excitations of finite lattice systems. The neutral excitation spectra are obtained by time-propagating the Kadanoff-Baym equations in the Hartree-Fock and second Born approximations. Our method is equivalent to solving the Bethe-Salpeter equation with a high-level kernel while respecting self-consistently, which guarantees the fulfillment of a frequency sum rule. As a result, we find that a time-local method, such as Hartree-Fock, can give incomplete spectra, while already the second Born, which is the simplest time-nonlocal approximation, reproduces well most of the additional excitations, which are characterized as double-excitations.

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