Bravaislattice operator in crystals
Abstract
A Bravaislattice operator is defined in one band of a threedimensional solid. Its connection with the oneband radius vector is established. While the Bravaislattice operator has a discrete spectrum coinciding with the Bravais lattice, the oneband radius vector has, in general, a continuous spectrum and only in crystals with a center of inversion does the latter assume a discrete spectrum. The eigenfunctions of the Bravaislattice operator lead to a covariant phase definition of the Wannier functions.
 Publication:

Physical Review B
 Pub Date:
 January 1981
 DOI:
 10.1103/PhysRevB.23.561
 Bibcode:
 1981PhRvB..23..561R