arXiv subjects
Publications and source records attributed to Richard J. Mathar.
Kohn-Sham orbitals of face-centered cubic lithium fluoride are calculated in prototypical local-density approximations to the exchange-correlation functional. The symmetry analysis of these Bloch functions in a LCAO basis on a path Gamma-X-W-K-Gamma-L-W through the Brillouin Zone is compiled into a list of errata to symmetry labels in the LiF literature, the bulk of which dates back to the 1970's.
We calculate the "head" element or the (0,0)-element of the wave-vector and frequency-dependent dielectric matrix of bulk crystals via first-principles, all-electron Kohn-Sham states in the integral of the irreducible polarizability in the random phase approximation. We approximate the macroscopic "head" element of the inverse matrix by its reciprocal value, and integrate over frequencies and momenta to obtain the electronic energy loss of protons at low velocities. Numerical evaluation for diamond targets predicts that the band gap causes a strong non-linear reduction of the electronic stopping power at ion velocities below 0.2 atomic units.