The polar decomposition of the spin-dependent hopping bond, into a unitary phase part and a Hermitian amplitude part, unifies even-parity altermagnets and odd-parity p-wave magnets and predicts a new non-commuting sector with an even-in-momentum transverse spin polarization.
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A spin-bond theory unifying non-relativistic spin splitting and emergent spin-orbit textures
The polar decomposition of the spin-dependent hopping bond, into a unitary phase part and a Hermitian amplitude part, unifies even-parity altermagnets and odd-parity p-wave magnets and predicts a new non-commuting sector with an even-in-momentum transverse spin polarization.