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Effective Exchange and Correlation Interaction and Dielectric Screening in the Electron Gas. A Functional Approach to the Local‐Field Correction
Author(s) -
Streitenberger P.
Publication year - 1984
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221250229
Subject(s) - decoupling (probability) , vertex (graph theory) , electron , local field , self energy , fermi gas , physics , statistical physics , function (biology) , correlation function (quantum field theory) , dielectric function , quantum mechanics , quantum electrodynamics , dielectric , mathematics , condensed matter physics , graph , combinatorics , control engineering , evolutionary biology , engineering , biology
The basic equations for the Green's function are reformulated to incorporate the local‐field correction in the decoupling procedure for the many‐electron problem explicitly. A set of self‐consistent equations is derived, which couples the self‐energy and a mean exchange and correlation potential via an effective vertex function. In the simplest approximation a local vertex function is obtained which leads to a local‐field correction for the non‐interacting reference system involving the variational and perturbational results previously obtained. Screening and self‐energy insertions are uniquely defined, where the electron interaction potential in the self‐energy must be screened with an electron‐dielectric function defined for the interacting system.