We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for all one particle operators. The solution of the many electron problem is mapped onto the self-consistent solution of a set of single particle Schroedinger equations analogous to standard DFT-LDA calculations.
@article{arxiv.0707.3459,
title = {Gutzwiller density functional theory for correlated electron systems},
author = {K. M. Ho and J. Schmalian and C. Z. Wang},
journal= {arXiv preprint arXiv:0707.3459},
year = {2009}
}