504 publications from this institution
Density functional theory in the local approximation is used to study the radial dependency of the vibrational frequencies of single‐wall carbon nanotubes in the G band (1500–1600 cm−1) . In metallic nanotubes, the longitudinal A1 mode is found to be significantly softer than in insulating tubes or graphite. The mechanism that leads to the mode softening is reminiscent of the driving force inducing Peierls distortions, but the energy gained by opening the gap is not sufficient for a static lattice distortion. Instead, the corresponding vibrational frequency is lowered.
No abstract is provided for this article.
We present an implementation of the optimised effective potential (OEP) scheme for the exact-exchange (EXX) and random phase approximation (RPA) energy functionals and apply these methods to a range of bulk materials. We calculate the Kohn-Sham (KS) potentials and the corresponding band gaps and compare them to the potentials obtained by standard local density approximation (LDA) calculations. The KS gaps increase upon going from the LDA to the OEP in the RPA and finally to the OEP for EXX. This can be explained by the different depth of the potentials in the bonding and interstitial regions. To obtain the true quasi-particle gaps the derivative discontinuities or $G_0W_0$ corrections need to be added to the RPA-OEP KS gaps. The predicted $G_0W_0$@RPA-OEP quasi-particle gaps are about 5% too large compared to the experimental values. However, compared to $G_0W_0$ calculations based on local or semi-local functionals, where the errors vary between different materials, we obtain a rather consistent description among all the materials.
The random phase approximation (RPA) to the correlation energy is among the most promising methods to obtain accurate correlation energy differences from diagrammatic perturbation theory at modest computational cost. We show here that a cubic system size scaling can be readily obtained, which dramatically reduces the computation time by one to two orders of magnitude for large systems. Furthermore, the scaling with respect to the number of $k$ points used to sample the Brillouin zone can be reduced to linear order. In combination, this allows accurate and very well-converged single-point RPA calculations, with a time complexity that is roughly on par or better than for self-consistent Hartree-Fock and hybrid-functional calculations. The present implementation enables new applications. Here, we apply the RPA to determine the energy difference between diamond Si and $\ensuremath{\beta}$-tin Si, the energetics of the Si self-interstitial defect and the Si vacancy, the latter with up to 256 atom supercells. We show that the RPA predicts Si interstitial and vacancy energies in excellent agreement with experiment. Si self-interstitial diffusion barriers are also in good agreement with experiment, as opposed to previous calculations based on hybrid functionals or range-separated RPA variants.
For ab initio electronic structure calculations, the random-phase approximation to the correlation energy is supposed to be a suitable complement to the exact exchange energy. We show that lattice constants, atomization energies of solids, and adsorption energies on metal surfaces evaluated using this approximation are in very good agreement with experiment. Since the method is fairly efficient and handles ionic, metallic, and van der Waals bonded systems equally well, it is a very promising choice to improve upon density functional theory calculations, without resorting to more demanding diffusion Monte Carlo or quantum chemical methods.
No abstract is provided for this article.
No abstract is provided for this article.
First-principles molecular dynamics simulations of liquid selenium for three different densities at the temperatures 1770 and 1870 K are presented. Whereas the densities for 1770 K have been chosen to correspond to pressures at which recent x-ray diffraction experiments were performed, the densities for 1870 K are related to pressures close to the critical point in the p-T phase diagram. For the lower temperature, close agreement with the most recent x-ray data is found in structure factors and pair distribution functions. For the higher temperature, the structure factors get large at low wavelengths close to the critical point. This indicates a highly compressible liquid as would be expected within the critical regime.