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The influence of antiferromagnetic order on the superconductivity in thenon-centrosymmetric heavy fermion compound CePt$_3$Si and related materials isdiscussed. Based on our RPA analysis for the extended Hubbard model two phasescould be stabilized by a spin fluctuation induced pairing, with eitherdominantly p-wave or d-wave symmetry. The antiferromagnetic order plays anessential role for the low-energy physics, in particular, for the appearance ofline nodes in the gap and the enhancement of spin susceptibility below $T_{\rmc}$. Various properties and possible phase diagrams under pressure areanalyzed. The present experimental situation suggests that the p-wave phase ismost likely realized in CePt$_3$Si.Comment: To appear in J. Phys. Soc. Jpn. Vol.76 (2007) No.

Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic Discussion of CePt3Si

Non-centrosymmetric Superconductivity and Antiferromagnetic Order: Microscopic Discussion of CePt₃Si