High-throughput computational design of ${\mathrm{Mo}}_3{\mathrm{Al}}_{2}C$-like noncentrosymmetric superconductors with multifold degenerate fermions

Nonsymmorphic chiral superconductors, like ${\mathrm{Mo}}_3{\mathrm{Al}}_{2}C$, are promising candidates to explore parity mixing and multifold degenerate fermions. However, only ${\mathrm{Mo}}_3{\mathrm{Al}}_{2}C$ and $W_3{\mathrm{Al}}_{2}C$ in the ${\mathrm{Mo}}_3{\mathrm{Al}}_{2}C$ family have been identified up to now. We carry out a high-throughput materials screening procedure on ${\mathrm{Mo}}_3{\mathrm{Al}}_{2}C$-like crystals based on first principles calculations. We report 21 crystals in this family based on systematic stability evaluations and perform electron-phonon coupling strength calculations for all of them. Additionally, the band structures of these compounds indicate that almost all of these compounds can hold multiple fermions near the Fermi level. This study may contribute to the discovery of more novel NCSs with multiple degenerate fermions.