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We report superconductivity and magnetism in a new family of topologicalsemimetals, the ternary half Heusler compounds $R$PdBi ($R$ : rare earth). Inthis series, tuning of the rare earth $f$-electron component allows forsimultaneous control of both lattice density via lanthanide contraction, aswell as the strength of magnetic interaction via de Gennes scaling, allowingfor a unique tuning of both the normal state band inversion strength,superconducting pairing and magnetically ordered ground states.Antiferromagnetism with ordering vector (0.5,0.5,0.5) occurs below a Ne\'eeltemperature that scales with de Gennes factor $dG$, while a superconductingtransition is simultaneously linearly suppressed. With superconductivityappearing in a system with non-centrosymmetric crystallographic symmetry, thepossibility of spin-triplet Cooper pairing with non-trivial topology analogousto that predicted for the normal state electronic structure provides a uniqueand rich opportunity to realize both predicted and new exotic excitations intopological materials.

Topological $R$PdBi half-Heusler semimetals: a new family of non-centrosymmetric magnetic superconductors