Magnetic properties in non-centrosymmetric superconductors with and without antiferromagnetic order

The paramagnetic properties in non-centrosymmetric superconductors with and without antiferromagnetic (AFM) order are investigated with focus on the heavy Fermion superconductors, CePt3Si, CeRhSi3, and CeIrSi3. First, we investigate the spin susceptibility in the linear response regime and elucidate the role of AFM order. The spin susceptibility at T = 0 is independent of the pairing symmetry and increases in the AFM state. Second, the non-linear response to the magnetic field are investigated on the basis of an effective model for CePt3Si which may be also applicable to CeRhSi3 and CeIrSi3. The role of antisymmetric spin-orbit coupling (ASOC), helical superconductivity, anisotropic Fermi surfaces and AFM order are examined in the dominantly s-, p-, and d-wave states. We emphasize the qualitatively important role of the mixing of superconducting (SC) order parameters in the p-wave state which enhances the spin susceptibility and suppresses paramagnetic depairing effect in a significant way. Therefore, the dominantly p-wave superconductivity admixed with the s-wave order parameter is consistent with. the paramagnetic properties of CePt3Si at ambient pressure. We propose some experiments which can elucidate the novel pairing states in CePt3Si as well as CeRhSi3 and CeIrSi3.