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We study the effects of magnetization on the properties of the dopedtopological insulator with nematic superconductivity. We found that thedirection of the in-plane magnetization fixes the direction of the nematicityin the system. The chiral state is more favorable than the nematic state forlarge values of out-of-plane magnetization. Overall, the critical temperatureof the nematic state is resilient against magnetization. We explore thespectrum of the system with the pinned direction of the nematic order parameter$\Delta_{y}$ in details. Without magnetization, there is a full gap in thespectrum. At strong enough out-of-plane $m_z$ or orthogonal in-plane $m_x$magnetization, the spectrum is closed at the nodal points that are split by themagnetization. Flat Majorana surface states connect such split bulk nodalpoints. Parallel magnetization $m_y$ lifts nodal points and opens a full gap inthe spectrum. We discuss relevant experiments and propose experimentalverifications of our theory.

Magnetization control of the nematicity direction and nodal points in a superconducting doped topological insulator