6533b821fe1ef96bd127b625

RESEARCH PRODUCT

Exchange-correlation potential with a proper long-range behavior for harmonically confined electron droplets

subject

description

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.