Variational solution of the T-matrix integral equation

Details Variational solution of the T-matrix integral equation Variational solution of the T-matrix integral equation

2004-11-06

arxiv.org/abs/cond-mat/0411170v2

Phys. Rev. B 71, 115104 (2005)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 7 figures

Scientific paper

10.1103/PhysRevB.71.115104

We present a variational solution of the T-matrix integral equation within a local approximation. This solution provides a simple form for the T matrix similar to Hubbard models but with the local interaction depending on momentum and frequency. By examining the ladder diagrams for irreducible polarizability, a connection between this interaction and the local-field factor is established. Based on the obtained solution, a form for the T-matrix contribution to the electron self-energy in addition to the GW term is proposed. In the case of the electron-hole multiple scattering, this form allows one to avoid double counting.

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