Spin orientation by electric current in altermagnets

Abstract: It is shown that the flow of electric current in an altermagnet results in the formation of a homogeneous electron spin orientation in the sample. The spin of the conduction electrons generated in altermagnets with $d$-wave spin-momentum couplings, is quadratic in the current magnitude, varies as the second angular harmonic under variation of the current direction and does not require broken inversion symmetry. The effect is thus distinct from conventional current induced spin polarization phenomena which are linear in the current, vary as a first angular harmonic under variation of current direction and require broken inversion symmetry. The current-induced spin orientation in altermagnets is obtained using the kinetic theory for distribution functions in the spin-splitted subbands. It is shown that an application of external magnetic field significantly enhances the electron spin.