%0 Journal Article
%T Exponential decay properties of Wannier functions and related quantities
%A Lixin He
%A David Vanderbilt
%J Physics
%D 2001
%I arXiv
%R 10.1103/PhysRevLett.86.5341
%X The spatial decay properties of Wannier functions and related quantities have been investigated using analytical and numerical methods. We find that the form of the decay is a power law times an exponential, with a particular power-law exponent that is universal for each kind of quantity. In one dimension we find an exponent of -3/4 for Wannier functions, -1/2 for the density matrix and for energy matrix elements, and -1/2 or -3/2 for different constructions of non-orthonormal Wannier-like functions.
%U http://arxiv.org/abs/cond-mat/0102016v1