  The theoretical framework of the neutrino electron excitation at low energies
including the screening effect in semiconductor detectors is developed for the
first time, both in the Standard Model and in the presence of the neutrino
magnetic moment. We explore the contribution of the screening effect of
semiconductors to the neutrino electron excitation based on the linear response
theory and calculate the corresponding numerical results. We show that
excitation rates from the neutrino magnetic moment are dramatically enhanced
{by} the screening effect and the sensitivity can be significantly improved to
the level of $10^{-13}\,\mu_{\rm B}$, much better than the current {laboratory
and astrophysical} limits.
