Crossed Andreev reflection in FSF Weyl semimetal junctions

We have investigated crossed Andreev reflection in a ferromagnet-superconductor-ferromagnet junction based on the time-reversal invariant Weyl semimetals. We demonstrate that this junction can provide a suitable platform for generating pure crossed Andreev reflection signals. For bipolar junction, n-doped left ferromagnet and p-doped right ferromagnet, pure co-tunneling can happen in the antiparallel configuration of the magnetizations of ferromagnets, while a pure crossed Andreev reflection is possible only in the parallel configuration. However, when both of the ferromagnetic leads have the same polarity, n-doped or p-doped, the situation is reversed. Furthermore, we find that we can tune the chemical potentials and magnetizations of the ferromagnets separately to on or off co-tunneling and crossed Andreev reflection signals. Moreover, we show that the pure crossed Andreev reflection signal can be enhanced by tuning the chemical potentials of two ferromagnetic leads. Our findings may be employed for generating entangled electron pairs in the condensed matter systems.