The study examines centrosymmetric, collinear antiferromagnets known as altermagnets, whose two magnetic sublattices have opposite spins but no overall magnetization. In the bulk, inversion symmetry prevents the linear current-induced fields needed to select between opposite orientations of the Néel vector, the order describing the two sublattices. The researchers show that an interface can permit such a staggered response, with its form fixed by the surface's symmetry and orientation.

The framework also uses the spin-conductivity tensor to determine which surfaces can produce transverse spin currents through the spin-splitter effect. Together, these rules identify surface orientations in d-wave altermagnets that could serve as electrically switchable spin-current sources, while remaining valid when responses are averaged over statistically equivalent surface facets and equilibrium roughness.