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We propose from first-principles calculations that spin-orbit-free materialsin the $RE_8\mathrm{Co}X_3$ group ($RE$ = rare earth elements, $X$ = Al, Ga, orIn) are ideal spinless Dirac semimetals whose Fermi surfaces are fourfolddegenerate band-crossing points (without including spin degeneracy). Despitethe lack of space inversion symmetry in these materials, Dirac points areformed on the rotation-symmetry axis due to accidental degeneracies of twobands corresponding to different 2-dimensional irreducible representations of$C_{6v}$ group. The surface states have two midgap bands emanating from theprojection in the surface Brillouin zone of the bulk Dirac points, inaccordance with nontrivial Zak phases for each glide sector. We alsoinvestigate, through first-principles calculations and effective modelanalysis, various phase transitions caused by lattice distortion or elementalsubstitutions from the Dirac semimetal phase to distinct topologicalsemimetallic phases such as nonmagnetic linked-nodal-line and Weyl semimetals(characterized by the second Stiefel-Whitney class) and ferromagnetic Weylsemimetals.

Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr$_8$CoGa$_3$ Family