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Line nodes in the superconducting gap are known to be a source of Majoranaflat bands (MFBs) in time-reversal-invariant superconductors (SCs). Here, weextend this relation to all symmetry-protected line nodes where an additionalconstraint arising from a symmetry of the crystal destabilizes or hides theexistence of MFBs. By establishing a one-to-one correspondence between grouptheoretical and topological classifications, we are able to classify thepossible line-node-induced MFBs, including cases with (magnetic) non-symmorphicspace groups. Our theoretical analysis reveals a new type of MFB, i.e., MFBs inantiferromagnetic SCs.

Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors