Correlation energy of an electron gas: a functional approach

Details Correlation energy of an electron gas: a functional approach Correlation energy of an electron gas: a functional approach

2003-05-28

arxiv.org/abs/cond-mat/0305643v1

Int. J. Mod. Phys. B 17 (2003) 973

Physics

Condensed Matter

Materials Science

20 figures numbered as in the text

Scientific paper

10.1142/S0217979203015851

Correlation effects of an electron gas in an external potential are derived using an Effective Action functional method. Corrections beyond the random phase approximation (RPA) are naturally incorporated by this method. The Effective Action functional is made to depend explicitly on two-point correlation functions. The calculation is carried out at imaginary time. For a homogeneous electron gas, we calculate the effect of exchange on the ring diagrams at zero temperature and show how to include some of the ladder diagrams. Our results agree well with known numerical calculations. We conclude by showing that this method is in fact a variant of the time dependent density functional method and suggest that it is suitable to be applied to the study of correlation effects in the non-homogeneous case.

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