Spin-Orbit Ordering, Momentum Space Coexistence, and Cuprate Superconductivity

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Motivated by the energetic advantage of achieving coherent enhancement of effective spin-dependent interactions through approximate nesting, we propose specific forms of spin ordering, whose form varies over the Fermi surface, for the cuprate superconductors. Competing "spin-orbit" orderings involving order parameters in spatial dₓ₂₋y₂ and dxy waves at commensurate and incommensurate wavevectors, phase separated in momentum space, support behavior suggestive of observed phenomena. The dxy spin-orbit fluctuation induces an effective interaction that favors dₓ₂₋y₂-wave pairing, as required for the observed superconductivity. Anisotropic spin susceptibility is a crucial prediction of our mechanism.