Noncentrosymmetric superconductors have recently attracted much attention, since the lack of inversion symmetry mixes spin-singlet and -triplet pairing states, which may allow the realization of topological superconductivity. In this Letter, we study the electronic properties of the family of inversion-broken $\mathrm{Ce}T{X}_3$ heavy-fermion superconductors, finding topological nodal lines as well as Dirac and Weyl points, which are renormalized closer to the Fermi energy by correlations. We find that the Weyl nodal lines have a substantial effect on the Fermi surface spin structure of the normal state and lead to line nodes in the superconducting phase.

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• Pairing mechanisms
• Topological superconductors
• Heavy-fermion systems
• Noncentrosymmetric materials
• Unconventional superconductors
• Gutzwiller approximation