Exponential Decay Properties of Wannier Functions and Related Quantities
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 powerlaw 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 nonorthonormal Wannierlike functions.
 Publication:

Physical Review Letters
 Pub Date:
 June 2001
 DOI:
 10.1103/PhysRevLett.86.5341
 arXiv:
 arXiv:condmat/0102016
 Bibcode:
 2001PhRvL..86.5341H
 Keywords:

 Condensed Matter  Materials Science
 EPrint:
 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