Fermi arcs around magnetic domain walls in a compensated ferrimagnetic Weyl semimetal Ti${}_2$MnAl

Fermi arcs are one of the characteristic features of Weyl semimetals, appearing as surface states that connect Weyl points with opposite chiralities. It has also been suggested that Fermi arcs can emerge in the bulk due to the interplay between magnetic textures and Weyl physics. We focus on Ti${}_2$MnAl which is an ideal magnetic Weyl semimetal with a compensated ferrimagnetic order. We systematically analyze domain wall-induced Fermi arcs in Ti${}_2$MnAl using an effective tight-binding model. By varying the strength of spin-orbit coupling, we confirmed that these domain wall-induced Fermi arcs emerge as a result of shifts in the positions of the Weyl points. Furthermore, we found that these domain wall-induced Fermi arcs in Ti${}_2$MnAl originate from the Chern number and represent a topologically robust state that is independent of the domain wall width.