Inherent spin density wave instability by vortices in superconductors with strong Pauli effects

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A novel spin density wave (SDW) instability mechanism enhanced by vortices under fields is proposed to explain the high field and low temperature (HL) phase in CeCoIn₅. In the vortex state the strong Pauli effect and the nodal gap conspire to enhance the momentum resolved spectral weight exclusively along the nodal direction over the normal value, providing a favorable nesting condition for SDW with Q=(2kF, 2kF, 0.5) only under high field (H). Observed mysteries of the field-induced SDW confined within Hc₂ are understood consistently, such facts that Q is directed to the nodal direction independent of H, SDW diminishes under tilting field from the ab plane, and the SDW transition line in (H,T) has a positive slope.