Kadanoff-Baym equations and approximate double occupancy in a Hubbard dimer

Details Kadanoff-Baym equations and approximate double occupancy in a Hubbard dimer Kadanoff-Baym equations and approximate double occupancy in a Hubbard dimer

2010-09-15

arxiv.org/abs/1009.2917v1

Physics

Condensed Matter

Strongly Correlated Electrons

2 pages, 1 figure

Scientific paper

We use the Kadanoff-Baym equations within the framework of many-body perturbation theory to study the double occupancies in a Hubbard dimer. The double occupancies are obtained from the equations of motion of the single-particle Green's function. Our calculations show that the approximate double occupancies can become negative. This is a shortcoming of approximate, and yet conserving, many-body self-energies. Among the tested perturbation schemes, the T-matrix approximation is the only one providing double occupancies which are always positive.

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