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The non-centrosymmetric superconductors Li2Pd3B and Li2Pt3B show differentsuperconducting properties despite having the same crystal symmetry. Motivatedby experimental results, we investigate the spin susceptibility ofnon-centrosymmetric superconductors accompanied by the topological transitionof Fermi surfaces due to antisymmetric spin-orbit coupling, which is indicatedby the first-principles band structure calculation for Li2Pt3B. We study threetypes of topological transition, namely, (A) the disappearance of the Fermisurface, (B) crossing the Dirac point, and (C) crossing the saddle pointvan-Hove singularity. The spin susceptibility in the superconducting state isincreased by the topological transitions (A) and (C), while it is decreased by(B). We discuss the unusual magnetic properties observed in Li2Pt3B on thebasis of these results.

Spin Susceptibility in Non-centrosymmetric Superconductors with Topological Transition of Fermi Surfaces