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Among the potential applications of topological insulators, we investigatetheoretically the effect of coexistence of proximity-induced ferromagnetism andsuperconductivity on the surface states of 3-dimensional topological insulator,where the superconducting electron-hole excitations can be significantlyaffected by the magnetization of ferromagnetic order. We find that, Majoranamode energy, as a verified feature of TI F/S structure, along the interfacesensitively depends on the magnitude of magnetization $m_{zfs}$ in FS region,while its slope in perpendicular incidence presents steep and no change. Sincethe superconducting gap is renormalized by a factor $\eta(m_{zfs})$, henceAndreev reflection is more or less suppressed, and, in particular, resultingsubgap tunneling conductance is more sensitive to the magnitude ofmagnetizations in FS and F regions. Furthermore, an interesting scenariohappens at the antiparallel configuration of magnetizations $m_{zf}$ and$m_{zfs}$ resulting in magnetoresistance in N/F/FS junction, which can becontrolled and decreased by tuning the magnetization magnitude in FS region.

Novel Majorana mode and magnetoresistance in ferromagnetic superconducting topological insulator