Antiferromagnetic order in Pauli-limited unconventional superconductors.

@article{Kato2011AntiferromagneticOI,
  title={Antiferromagnetic order in Pauli-limited unconventional superconductors.},
  author={Yasuyuki Kato and Cristian D. Batista and Ilya Vekhter},
  journal={Physical review letters},
  year={2011},
  volume={107 9},
  pages={
          096401
        }
}
We develop a theory of the coexistence of superconductivity (SC) and antiferromagnetism (AFM) in CeCoIn(5). We show that in Pauli-limited nodal superconductors the nesting of the quasiparticle pockets induced by Zeeman pair breaking leads to incommensurate AFM with the magnetic moment normal to the field. We compute the phase diagram and find a first order transition to the normal state at low temperatures, the absence of normal state AFM, and the coexistence of SC and AFM at high fields, in… 
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TLDR
The recent progress in the study of such exotic magnetic phases in unconventional superconductors is described, and the many open questions in this field are articulated.
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