The Wannier functions for different lattice sites in a crystal are orthogonal, allowing a convenient basis for the expansion of electron states in certain regimes. Although it is unproven that the Wannier functions are, in general, localized they have found widespread use, for example, in the analysis of binding forces acting on electrons. Specifically, these functions are also used in the analysis of excitons.
The Wannierfunctions are a complete set of orthogonal functions used in solid-state physics.
The Wannierfunctions for different lattice sites in a crystal are orthogonal, allowing a convenient basis for the expansion of electron states in certain regimes.
Although it is unproven that the Wannierfunctions are, in general, localized they have found widespread use, for example, in the analysis of binding forces acting on electrons.
Wannierfunctions provide a means of obtaining maximally localised representations of the electron states in solids.
The location of the function is represented by the coordinates of its centre and the degree to which the state is localised is measured by a spread parameter.
The Wannierfunctions have been used to study the details of the bonding in the silicon carbon alloys.