Domain wall magnetoresistance in disordered forromagnetic Weyl semimetal*

We study transport properties in magnetic junction of Weyl semimetals. The Weyl semimetal is a kind of topological quantum matter and can be realized by breaking time-reversal or inversion symmetry of Dirac semimetal. In the time-reversal broken type, say, ferromagnetic Weyl semimetals, the Weyl nodes (and the Fermi surface surrounding them) move in accordance with the magnetization. This results in the suppression of the transport through the interface, or, domain wall of two ferromagnetic Weyl semimetals with antiparallel magnetizations. We have numerically investigated the two-terminal conductance in the Weyl semimetals with domain walls, and found that a huge magnetoresistance effect arises in any type of (i.e., Bloch, Neel, and head-to-head) domain walls. We also show that the magnetoresistance is extremely robust against potential and magnetic disorders.