Exponential decay properties of Wannier functions and related quantities
Materials Science
2009-11-07 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/0102016,
title = {Exponential decay properties of Wannier functions and related quantities},
author = {Lixin He and David Vanderbilt},
journal= {arXiv preprint arXiv:cond-mat/0102016},
year = {2009}
}
Comments
4 pages, with 3 postscript figures embedded. Uses REVTEX and epsf macros. Also available at http://www.physics.rutgers.edu/~dhv/preprints/lh_wann/index.html