Density Matrix Functional Theory for the Lipkin model
Nuclear Theory
2009-01-21 v1 Strongly Correlated Electrons
Abstract
A Density Matrix Functional theory is constructed semi-empirically for the two-level Lipkin model. This theory, based on natural orbitals and occupation numbers, is shown to provide a good description for the ground state energy of the system as the two-body interaction and particle number vary. The application of Density Matrix Functional theory to the Lipkin model illustrates that it could be a valuable tool for systems presenting a shape phase-transition such as nuclei. The improvement of one-body observables description as well as the interest for Energy Density Functional theory are discussed.
Cite
@article{arxiv.0812.3604,
title = {Density Matrix Functional Theory for the Lipkin model},
author = {Denis Lacroix},
journal= {arXiv preprint arXiv:0812.3604},
year = {2009}
}
Comments
9 pages, 7 figures, to appear in Physical Review C