*Theory of Condensed Matter, Cavendish Laboratory, Madingley
Road, Cambridge, CB3 0HE, U.K.*

We present a novel real space formalism for ab initio electronic structure calculations. We use localized non-orthogonal functions that are expressed in terms of a basis set that is equivalent to a plane-wave basis. As a result, advantages of the plane-wave approach also apply to our method: its applicability to any lattice symmetry, and systematic basis set improvement via the kinetic energy cut-off parameter. The localization of our functions enables the use of fast Fourier transforms over small regions of the simulation cell to calculate the total energy with efficiency and accuracy. With just one further variational approximation, namely the truncation of the density matrix, the calculation may be performed with a cost that scales linearly with system size for insulating systems.

PACS numbers: 71.15.-m; 31.15.-p; 31.15.Ar

Keywords: Electronic structure; Density functional theory; Linear-scaling; FFT; Systematic basis set

Last updated: 29 August 2002

Peter Haynes