Nonlocal exchange and kinetic energy density functionals with correct asymptotic behavior for electronic systems

International Journal Of Quantum Chemistry 49, 171 - 184 (1994)

Nonlocal exchange and kinetic energy density functionals with correct asymptotic behavior for electronic systems

M.D. Glossman, L.C. Balbás, A. Rubio, J.A. Alonso

The search for a density functional theory (DFT) free of one-electron orbitals needs the development of good kinetic energy functionals beyond the venerable Thomas-Fermi and gradient expansion functionals. With this goal in mind, we previously solved for several atoms and positive ions the Euler equation associated with the exchange and kinetic energy functionals of the nonlocal weighted density approximation (WDA). In this work, we improve the theory by enforcing the correct asymptotic behavior of the exchange potential following a prescription of Przybilsky and Borstel (PB). We have calculated electronic densities, density moments rn (n = -1,1,2) and the density at the nucleus (0), as well as total and exchange energies and chemical potentials for neutral and charged atoms. All those quantities show a better agreement with Hartree-Fock results than those obtained using gradient-corrected Thomas-Fermi functionals. The radial densities, 4r2(r), show two local maxima at positions close to those of the first two maxima of Hartree-Fock radial densities. This effect, which is absent in the self-consistent densities from the usual gradient-corrected Thomas-Fermi functions, can be interpreted, in our view as an incipient emergence of the shell effect.

Additional Information

Doi
http://dx.doi.org/10.1002/qua.560490309