Modifying the HF procedure to include screening effects

Details Modifying the HF procedure to include screening effects Modifying the HF procedure to include screening effects

2012-03-13

arxiv.org/abs/1203.2689v1

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 8 figures

Scientific paper

A self-consistent formulation is proposed to generalize the HF scheme with the incorporation of screening effects. For this purpose in a first step, an energy functional is defined by the mean value for the full Hamiltonian, not in a Slater determinant state, but in the result of the adiabatic connection of Coulomb plus the nuclear (jellium charge) in the Slater determinant. Afterwards, the energy functional defining the screening approximation is defined in a diagrammatic way, by imposing a special "screening" restriction on the contractions retained in the Wick expansion. The generalized self-consisting set of equations for the one particle orbitals are written by imposing the extremum conditions. The scheme is applied to the homogeneous electron gas. After simplifying the discussion by assuming the screening as static and that the mean distance between electrons is close to the Bohr radius, the equations for the electron spectrum and the static screening properties are solved by iterations. The self-consistent results for the self-energies dispersion does not show the vanishing density of states at the Fermi level predicted by the HF self-energy spectrum. In this extreme non retarded approximation, both, the direct and the exchange potentials are strongly screened, and the energy is higher that the one given by the usual HF scheme. However, the inclusion of the retardation in the exact solution and the sum rules associated to the dielectric response of the problem, can lead to energy lowering. These effects will be considered in the extension of the work.

Affiliated with

Also associated with

No associations

Rating

Modifying the HF procedure to include screening effects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Modifying the HF procedure to include screening effects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modifying the HF procedure to include screening effects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143382