Gm. Rignanese et al., SCALING HYPOTHESIS FOR CORRECTIONS TO TOTAL-ENERGY AND STRESS IN PLANE-WAVE-BASED AB-INITIO CALCULATIONS, Physical review. B, Condensed matter, 52(11), 1995, pp. 8160-8178
We present a technique aimed at preventing plane-wave-based total ener
gy and stress calculations from the effect of abrupt changes in basis
set size. This scheme relies on the interpolation of energy as a funct
ion of the number of plane waves and on a scaling hypothesis that allo
ws us to perform the interpolation for a unique reference volume. From
a theoretical point of view, the method is compared to those already
proposed in the literature, and its more rigorous derivation is emphas
ized. From a practical point of view, we illustrate the importance of
the correction on different materials (Si, BaTiO3, and He) correspondi
ng to different types of bonding, and to different k-point samplings a
nd cutoff energies. Then, we compare the different approaches for the
calculation of a(0), B-0, and B-0' in bulk silicon.