Orthogonalization Procedures and the Localization of Wannier Functions
Abstract
The method of "symmetric orthonormalization" is shown to have a leastsquares property: it constructs those unique orthonormal functions which minimize the sum of squared distances (in Hilbert space) between each initial function and a corresponding function of the orthonormal set. The localization of Wannier functions is a consequence of this property, since they can be obtained from localized atomic orbitals by symmetric orthonormalization. The theorem further implies an optimal resemblance of Wannier functions to atomic orbitals.
 Publication:

Physical Review
 Pub Date:
 January 1957
 DOI:
 10.1103/PhysRev.105.102
 Bibcode:
 1957PhRv..105..102C