  Recent studies have theoretically investigated the atomic excitation and
ionization induced by the dark matter (DM)-nucleus scattering, and it is found
that the suddenly recoiled atom is much more likely to excite or lose its
electrons than expected. Such phenomenon is called the "Migdal effect". In this
paper, we extend the established strategy to describe the Migdal effect in
isolated atoms to the case in semiconductors under the framework of
tight-binding (TB) approximation. Since the localized aspects of electrons are
respected in form of the Wannier functions (WFs), the extension of the existing
Migdal approach for isolated atoms is much more natural, while the extensive
nature of electrons in solids is reflected in the hopping integrals. We take
diamond target as a concrete proof of principle for the methodology, and
calculate relevant energy spectra and projected sensitivity of such diamond
detector. It turns out that our method as a preliminary attempt is practically
effective.
