From: David Vanderbilt <dhv@physics.rutgers.edu> Date: Thu, 1 Feb 2001 16:27:33 GMT (20kb)
Authors:
Lixin He,
David Vanderbilt (Department of Physics and Astronomy, Rutgers University)
Comments: 4 pages, with 3 postscript figures embedded. Uses REVTEX and epsf
macros. Also available at
this http URL
Subj-class: Materials Science
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.