Wanniertype
Wannier-type functions, also known as Wannier functions, are a set of localized basis functions used in solid-state physics and quantum chemistry to describe the electronic structure of materials. They were introduced by Gregory Wannier in 1937 as a way to understand the electronic properties of crystals. Unlike plane waves, which are delocalized and extend throughout the entire crystal, Wannier functions are localized in real space, making them particularly useful for studying the behavior of electrons in specific regions of a material.
Wannier functions are constructed from Bloch functions, which are the eigenfunctions of a single electron in
One of the key advantages of Wannier functions is their ability to provide insights into the spatial
In summary, Wannier-type functions are a valuable tool in the study of electronic properties of materials. Their