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Contracted Plane Wave satisfying periodic gauge

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abstract

We introduce the contracted plane waves (CPWs), which satisfy the periodic gauge in the Brillouin-zone torus as in the case of usual Wannier functions. CPWs are very simply given as the sum of plane waves. We will be able to use CPWs instead of the Wannier functions for the interpolation of physical quantities given as the function of wave vectors in BZ. Furthermore, it will be easy to complement the set of Gaussian bases by CPWs.

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