When a magnetar magnetosphere is trigged by crustal deformations, an electric field E parallel to the magnetic field line would appear via Alvfén waves in the charge starvation region. If electron-positron pair bunches pre-exist, e.g., via some possible plasma instabilities, in the magnetosphere, these pairs will undergo charge separation in the E and in the meantime emit coherent curvature radiation. Following the approach of Yang & Zhang (2018), we find that the superposed curvature radiation becomes narrower due to charge separation, with the width of spectrum depending on the separation between the electron and positron clumps. This mechanism can interpret the narrow spectra of FRBs, in particular, the Galactic FRB 200428 recently detected in association with a hard X-ray burst from the Galactic magnetar SGR J1935+2154.