  Neutrino-nucleus scatterings in the detector could induce electron ionization
signatures due to the Migdal effect. We derive prospects for a future detection
of the Migdal effect via coherent elastic solar neutrino-nucleus scatterings in
liquid xenon detectors, and discuss the irreducible background that it
constitutes for the Migdal effect caused by light dark matter-nucleus
scatterings. Furthermore, we explore the ionization signal induced by some
neutrino electromagnetic and non-standard interactions on nuclei. In certain
scenarios, we find a distinct peak on the ionization spectrum of xenon around
0.1 keV, in clear contrast to the Standard Model expectation.
