Spin-textured altermagnets

Altermagnets combine antiferromagnetic order with crystal symmetries that generate momentum-dependent spin splitting without net magnetization. We develop a gauge-covariant continuum theory of electron transport in spin-textured altermagnets, where smooth spatial variations of the Néel vector act as emergent SU(2) gauge fields coupling to charge and spin currents. This framework unifies real-space textures and momentum-space spin splitting within a single microscopic formalism. Applying it to generic two-dimensional altermagnets, we derive the corresponding low-energy Hamiltonian and identify texture-induced anisotropic transport and symmetry-controlled current responses. The results establish a foundation for describing transport in spatially modulated altermagnetic phases and suggest routes to control spin and charge flow via engineered Néel textures.