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Variational solution of the T-matrix integral equation

I. A. Nechaev·E. V. Chulkov
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Abstract

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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I. A. Nechaev, E. V. Chulkov. 2005-03-08. Variational solution of the T-matrix integral equation. https://doi.org/10.1103/physrevb.71.115104

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