# Dresden 2009 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

# O: Fachverband Oberflächenphysik

## O 24: Methods: Molecular simulations and statistical mechanics

### O 24.3: Vortrag

### Dienstag, 24. März 2009, 15:30–15:45, SCH A01

**Correlation energy of two-dimensional systems: toward non-empirical and universal modeling** — •S. Pittalis^{1, 3}, E. Rasanen^{2, 3}, C. Proetto^{1, 3}, and E.K.U. Gross^{1, 3} — ^{1}Institut fuer Theoretische Physik, Freie Universitaet Berlin, Arnimallee 14, D-14195 Berlin, Germany — ^{2}Nanoscience Center, Department of Physics, University of Jyvaskyla, FIN-40014 Jyvaskyla, Finland — ^{3}European Theoretical Spectroscopy Facility (ETSF)

The capability of density-functional theory to deal with the ground-state of correlated systems depends on the accuracy of functionals developed for the exchange and correlation energies. Most of the approximations developed so far have focused on three-dimensional systems. Such efforts for two-dimensional (2D) systems have been relatively scarce despite the rapidly increasing experimental and theoretical interest in 2D structures such as semiconductor heterostructures, quantum-Hall systems, graphene, and various types of quantum dots. Here we derive a correlation-energy functional for 2D systems by modeling the correlation-hole functions in such a way that they satisfy a set of exact properties. We find very encouraging results for a wide range of correlation energies covering several few-electron quantum dots with and without external magnetic field, having different spin-polarizations and current densities.