Basis Functions for Linear-Scaling First-Principles Calculations

Details Basis Functions for Linear-Scaling First-Principles Calculations Basis Functions for Linear-Scaling First-Principles Calculations

1996-09-20

arxiv.org/abs/mtrl-th/9609003v1

Physics

Condensed Matter

Materials Science

revtex file, with two encapsulated postscript figures, uses epsf.sty, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.55.13485

In the framework of a recently reported linear-scaling method for density-functional-pseudopotential calculations, we investigate the use of localized basis functions for such work. We propose a basis set in which each local orbital is represented in terms of an array of `blip functions'' on the points of a grid. We analyze the relation between blip-function basis sets and the plane-wave basis used in standard pseudopotential methods, derive criteria for the approximate equivalence of the two, and describe practical tests of these criteria. Techniques are presented for using blip-function basis sets in linear-scaling calculations, and numerical tests of these techniques are reported for Si crystal using both local and non-local pseudopotentials. We find rapid convergence of the total energy to the values given by standard plane-wave calculations as the radius of the linear-scaling localized orbitals is increased.

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