Spin Resonance and Magnetic Order in an Unconventional Superconductor

Unconventional superconductivity in many materials is believed to be mediated by magnetic fluctuations. It is an open question how magnetic order can emerge from a superconducting condensate and how it competes with the magnetic spin resonance in unconventional superconductors. Here we study a model d-wave superconductor that develops spin-density wave order, and find that the spin resonance is unaffected by the onset of static magnetic order. This result suggests a scenario, in which the resonance in Nd_0.05Ce_0.95CoIn₅ is a longitudinal mode with fluctuating moments along the ordered magnetic moments.