Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic discussion of CePt${}_3$Si

Abstract

The influence of antiferromagnetic order on the superconductivity in the non-centrosymmetric heavy fermion compound CePt${}_3$Si and related materials is discussed. Based on our RPA analysis for the extended Hubbard model two phases could be stabilized by a spin fluctuation induced pairing, with either dominantly p-wave or d-wave symmetry. The antiferromagnetic order plays an essential role for the low-energy physics, in particular, for the appearance of line nodes in the gap and the enhancement of spin susceptibility below $T_{\mathrm{c}}$. Various properties and possible phase diagrams under pressure are analyzed. The present experimental situation suggests that the p-wave phase is most likely realized in CePt${}_3$Si.

To appear in J. Phys. Soc. Jpn. Vol.76 (2007) No.4

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