MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Fully Self-Consistent Hartree-Fock Calculation of Jellium Slabs: Exact Treatment of Exchange Operator

Hongjun Luo, Wolfgang Hackbusch, Heinz-Jürgen Flad and Dietmar Kolb


We present Hartree-Fock surface energies, work functions and dipole barriers for a Jellium slab model at different electron densities and slab widths. The fully self-consistent calculations take into account the nonlocal exchange coupling of the momentum parallel to the surface with the perpendicular component of the orbitals.

Typical oscillations due to quantum size effects have been observed. Our results provide lower and upper bounds for the Hartree-Fock surface energy and work function of the semi-infinite jellium model which can serve as benchmarks for previously reported variational calculations performed with different types of non-self-consistent orbitals.

Furthermore we observed the expected characteristic band structures and electron densities, i.e., vanishing density of states at the Fermi energy and pronounced Friedel oscillations at jellium surfaces. In order to resolve the perpendicular components of the orbitals we have used a wavelet based interpolating scaling function basis.

71.10.Ca, 73.20.At, 31.15.Ne
Jellium slab, hartree-fock, surface energy, work function

Related publications

2008 Repository Open Access
Hongjun Luo, Heinz-Jürgen Flad, Wolfgang Hackbusch and Dietmar Kolb

Fully self-consistent Hartree-Fock calculation of jellium slabs : exact treatment of the exchange operator

In: Physical review / B, 78 (2008) 3, p. 035136