Exchange-energy functionals for finite two-dimensional systems

2007/10/31 by Stefano Pittalis, S. Pittalis, E. Räsänen +3 · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Density functional theory #Electron #Energy (signal processing) #Energy exchange #Exchange interaction #Fermi gas #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Statistical physics #Surface and Thin Film Phenomena #Work (physics) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.76.235314

published as Phys. Rev. B 76, 235314 (2007) · 5 pages, 3 figures

arxiv created 2007/12/14 · openalex publication_date 2007/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Two-dimensional limit of exchange-correlation energy functional approximations
• Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories
• Two electrons in a homogeneous magnetic field: particular analytical solutions
• Electronic structure of quantum dots
• A local exchange-correlation potential for the spin polarized case. i

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