Unconventional superconductors represent one of the most intriguing quantum states of matter. In particular, multiorbital systems have the potential to host exotic non-unitary superconducting states. While the microscopic origin of non-unitarity is not yet fully solved, competing interactions are suggested to play a crucial role in stabilizing such states. The interplay between charge order and superconductivity has been a recurring theme in unconventionally superconducting systems, ranging from cuprate-based superconductors to dichalcogenide systems and even to twisted van der Waals materials. Here, we demonstrate that the existence of competing interactions gives rise to a non-unitary superconducting state. We show that the non-unitarity stems from a competing charge-ordered state whose interplay with superconductivity promotes a non-trivial multiorbital order. We establish this mechanism both from a Ginzburg-Landau perspective, and also from a fully microscopic selfconsistent solution of a multiorbital Dirac material. Our results put forward competing interactions as a powerful mechanism for driving non-unitary multiorbital superconductivity.
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