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Topological Dirac semimetals (DSMs) exhibit nodal points through which energybands disperse linearly in three-dimensional (3D) momentum space, a 3D analogueof graphene. The first experimentally confirmed DSMs with a pair of Diracpoints (DPs), Na$_{3}$Bi and Cd$_{3}$As$_{2}$, show topological surface Fermiarc states and exotic magneto-transport properties, boosting the interest inthe search for stable and nontoxic DSM materials. Here, based on the {\itab-initio} band structure calculations we predict a family of palladium andplatinum oxides as robust 3D DSMs. The novel topological properties of thesecompounds are distinct from all other previously reported DSMs, they arerendered by the multiple number of DPs in the compounds. We show that alongthree unit axes of the cubic lattice there exist three pairs of DPs, which arelinked by Fermi arcs on the surface. The Fermi arcs display a Lifshitztransition from a heart- to a diamond-shape upon varying the chemicalpotential. Corresponding oxides are already available as high-quality singlecrystals, which is an excellent precondition for the verification of ourprediction by photoemission and magneto-transport experiments. Our findings notonly predict a number of much robust 3D DSM candidates but also extend DSMs totransition metal oxides, a versatile family of materials, which opens the doorto investigate the interplay between DSMs and electronic correlations that isnot possible in the previously discovered DSM materials.

Heart and diamond Fermi arcs in Pd and Pt oxide topological Dirac semimetals