English

Variational solution of the T-matrix integral equation

Other Condensed Matter 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.cond-mat/0411170,
  title  = {Variational solution of the T-matrix integral equation},
  author = {I. A. Nechaev and E. V. Chulkov},
  journal= {arXiv preprint arXiv:cond-mat/0411170},
  year   = {2007}
}

Comments

7 pages, 7 figures

R2 v1 2026-07-22T11:09:59.211Z