38 citations · 65 across the 3 of their papers we have counts for
8 papers · 1 filter
Orbital-free energy functional for electrons in two dimensions
S. Pittalis, E. Rasanen
We derive a non-empirical, orbital-free density functional for the total energy of interacting electrons in two dimensions. The functional consists of a local formula for the inter…
Gaussian approximations for the exchange-energy functional of current-carrying states: Applications to two-dimensional systems
S. Pittalis, E. Rasanen, E. K. U. Gross
Electronic structure calculations are routinely carried out within the framework of density-functional theory, often with great success. For electrons in reduced dimensions, howeve…
Lower Bounds on the Exchange-Correlation Energy in Reduced Dimensions
E. Rasanen, S. Pittalis, K. Capelle +1
Bounds on the exchange-correlation energy of many-electron systems are derived and tested. By using universal scaling properties of the electron-electron interaction, we obtain the…
Density gradients for the exchange energy of electrons in two dimensions
S. Pittalis, E. Rasanen, J. G. Vilhena +1
We derive a generalized gradient approximation to the exchange energy to be used in density functional theory calculations of two-dimensional systems. This class of approximations…
Correlation energy of two-dimensional systems: Toward non-empirical and universal modeling
S. Pittalis, E. Rasanen, C. Proetto +1
The capability of density-functional theory to deal with the ground-state of strongly correlated low-dimensional systems, such as semiconductor quantum dots, depends on the accurac…
Electronic exchange in quantum rings
E. Rasanen, S. Pittalis, C. R. Proetto +1
Quantum rings can be characterized by a specific radius and ring width. For this rich class of physical systems, an accurate approximation for the exchange-hole potential and thus…