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Strong dependence of the Josephson energy on the magnetization orientation inJosephson junctions with ferromagnetic interlayers and spin-orbit couplingopens a way to control magnetization by Josephson current or Josephson phase.Here we investigate the perspectives of magnetization control insuperconductor/ferromagnet/superconductor (S/F/S) Josephson junctions on thesurface of a 3D topological insulator hosting Dirac quasiparticles. Due to thespin-momentum locking of these Dirac quasiparticles a strong dependence of theJosephson current-phase relation on the magnetization orientation is realized.It is demonstrated that this can lead to splitting of the ferromagnet'seasy-axis in the voltage driven regime. We show that such a splitting can leadto stabilization of an unconventional four-fold degenerate ferromagnetic state.

Electrical control of magnetization in S/F/S junctions on a 3D topological insulator