Topological d+s wave superconductors in a multi-orbital quadratic band touching system

We will discuss generic realization of topological superconductivity in three dimensional quadratic band touching system. Based on the interacting Luttinger model, we exhibit that the absence of particle-hole symmetry leads the system to favor the special d-wave superconductors with parasitic s-wave pairings ; uniaxial nematic phase with parasitic s-wave pairing (d_(3z^2-r^2)+ s) and time reversal symmetry broken phase with parasitic s-wave pairing (d_(3z^2-r^2,xy)+id_(x^2-y^2)+s). (d_(3z^2-r^2)+ s) phase possess nodal rings with winding number \pm 2 and corresponding drumhead-like surface states. (d_(3z^2-r^2,xy)+id_(x^2-y^2)+s) phase contain Bogoliubov Fermi-pockets with Chern number \pm 2 and corresponding zero-energy arc states. We will also argue possible applications of our theory to several materials including half-heusler compound YPtBi and relevant future experiments.