Exchange-energy functionals for finite two-dimensional systems

Physical Review B 76, 235314 (2007)

Exchange-energy functionals for finite two-dimensional systems

S. Pittalis, E. Räsänen, N. Helbig, E.K.U. Gross

Implicit and explicit density functionals for the exchange energy in finite two-dimensional systems are developed following the approach of Becke and Roussel [Phys. Rev. A 39, 3761 (1989)]. Excellent agreement for the exchange-hole potentials and exchange energies is found when compared with the exact-exchange reference data for the two-dimensional uniform electron gas and few-electron quantum dots, respectively. Thereby, this work significantly improves the availability of approximate density functionals for dealing with electrons in quasi-two-dimensional structures, which have various applications in semiconductor nanotechnology.

Additional Information

Doi
http://dx.doi.org/10.1103/PhysRevB.76.235314