Recent experiment reported the evidence of dispersing one-dimensional Majorana mode trapped by the crystalline domain walls in FeSe0.45Te0.55. Here, we perform the first-principles calculationsto show that iron atoms in the domain wall spontaneously form the ferromagnetic order in line withorientation of the wall. The ferromagnetism can impose a $pi$ phase difference between the domain-wall-separated surface superconducting regimes under the appropriate thickness and magnetization of the wall. Accordingly, the topological surface superconducting state of FeSe$_{0.45}$Te$_{0.55}$ can give rise to one-dimensional Majorana modes bounded by the wall. More importantly, we further propose a topological phase battery junction in the form of FeSe$_{0.45}$Te$_{0.55}$/ferromagnet/FeSe$_{0.45}$Te$_{0.55}$, which can be adopted to create and fuse the Majorana zero modes through controlling the thickness or magnetization of the interior ferromagnetic barrier. The braiding and readout of Majorana zero modes can easily be realized by the designed device. Such topological phase battery junction has the potential application in the superconducting topological quantum computation.
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