Superconducting and excitonic quantum phase transitions in doped Dirac electronic systems

► Dirac fermions on a planar lattice with superconducting and excitonic interactions. ► Half-filling: Cooper pairs and excitons coexist if the interactions are equal. ► For excitonic interaction strength only: A critical chemical potential is obtained. ► For superconducting interaction strength only: The gap displays a dome-shaped curve. ► Both interactions: Superconductivity tends to suppress the excitons at doping.