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Fast radio bursts (FRBs) at cosmological distances still hold concealedphysical origins. Previously Liu (2018) proposes a scenario that the collisionbetween a neutron star (NS) and a white dwarf (WD) can be one of theprogenitors of non-repeating FRBs and notices that the repeating FRBs can alsobe explained if a magnetar formed after such NS-WD merger. In this paper, weinvestigate this channel of magnetar formation in more detail. We propose thatthe NS-WD post-merger, after cooling and angular momentum redistribution, maycollapse to either a black hole or a new NS or even remains as a hybrid WDNS,depending on the total mass of the NS and WD. In particular, the newly formedNS can be a magnetar if the core of the WD collapsed into the NS while largequantities of degenerate electrons of the WD compressed to the outer layers ofthe new NS. A strong magnetic field can be formed by the electrons and positivecharges with different angular velocities induced by the differential rotationof the newborn magnetar. Such a magnetar can power the repeating FRBs by themagnetic reconnections due to the crustal movements or starquakes.

The remnant of neutron star-white dwarf merger and the repeating fast radio bursts