Exchange-correlation potential with a proper long-range behavior for harmonically confined electron droplets
Abstract
The exchange-correlation potentials stemming from the local-density approximation and several generalized-gradient approximations are known to have incorrect asymptotic decay. This failure is independent of the dimensionality but so far the problem has been corrected—within the mentioned approximations—only in three dimensions. Here we provide a cured exchange-correlation potential for two-dimensional harmonically confined systems that cover a wide range of applications in quantum Hall and semiconductor physics, especially in quantum-dot modeling. The given potential is a generalized-gradient approximation and we demonstrate that it agrees very well with the analytic result of a two-electron quantum dot in the asymptotic regime, and yields plausible results for larger two-dimensional systems.
- Publication:
-
Physical Review B
- Pub Date:
- November 2010
- DOI:
- 10.1103/PhysRevB.82.195124
- Bibcode:
- 2010PhRvB..82s5124P
- Keywords:
-
- 71.15.Mb;
- 31.15.E-;
- 73.21.La;
- Density functional theory local density approximation gradient and other corrections;
- Density-functional theory;
- Quantum dots