The accurate ab initio description of effective masses is of key interest in the design of materials with high mobility. However, up to now, they have been calculated using finite-difference estimation of density functional theory (DFT) electronic band curvatures. To eliminate the numerical noise inherent to finite-difference and obtain an approach that is more suitable for material design using high throughput computing, we develop a method allowing to obtain the curvature of DFT bands using Density-Functional Perturbation Theory (DFPT), taking a change of wavevector as a perturbation. Also, preliminary work on the inclusion of G$_0$W$_0$ corrections to DFT bands in our method will be presented.
Laflamme Janssen, J., & Gonze, X. (2014). Accurate effective masses from first principles. 19th European Theoretical Spectroscopy Facility Workshop on Electronic Excitations, Zaragoza, Spain. https://hdl.handle.net/2078.5/192411