Symmetry-breaking-induced valley polarization and pure spin current in altermagnetic Co 2 MTe 4 monolayers

monolayer allows the generation and manipulation of a noncollinear spin current under an in-plane electric field. Notably, a pure spin current analogous to the spin Hall effect can be obtained when the electric field is applied along the bisector of the spin sublattice configuration. These findings reveal strong coupling between spin and valley degrees of freedom and provide an effective route for electric-field control of spin currents.