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## Summary:

- Relation between Wannier function and linear combination of atomic orbitals (LCAO) in tight-binding model

What is the relation between Wannier function and LCAO in tight-binding (TB) model? I know in TB we use LCAO but why we have an alternative approch using Wannier function? For example as said in this lecture note:

But I don't understand why we use wannier function? Or in general why we use a Fourier transform of a function?An alternative approach to the tight-binding approximation is through Wannier functions. These

are defined as the Fourier transformation of the Bloch wave functions