Wannier function

  The Wannier functions are a complete set of orthogonal functions used in solid-state physics. They were introduced by Gregory Wannier.

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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. Wannier functions have found widespread use, for example, in the analysis of binding forces acting on electrons; they have proven to be in general localized, at least for insulators, in 2006^[1]. Specifically, these functions are also used in the analysis of excitons.

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