A new generalized Kohn–Sham method for fundamental band-gaps in solids
Abstract
We developed a method for calculating the ground-state properties and fundamental band-gaps of solids, using a generalized Kohn–Sham approach combining a local density approximation () where ε∞ is the optical dielectric constant of the solid and
= 0.84 and A = 0.216 a0−1, predictions of the fundamental band-gap close to the experimental values are obtained for a variety of solids of different types. For most solids the range parameter γ is small (i.e. explicit exchange is needed only at long distances) so the predicted values for lattice constants and bulk moduli are similar to those based on conventional LDA calculations. Preliminary calculations on silicon give a general band structure in good agreement with experiment.
- This article is part of the themed collection: Time-dependent density-functional theory