David Chalmers offers the beginnings of a theory about consciousness/experience as a fundamental component of the universe.
"I suggest that a theory of consciousness should take experience as fundamental. We know that a theory of consciousness requires the addition of something fundamental to our ontology, as everything in physical theory is compatible with the absence of consciousness. We might add some entirely new nonphysical feature from which experience can be derived, but it is hard to see what such a feature would be like. More likely, we will take experience itself as a fundamental feature of the world, alongside mass, charge, and space-time." Chalmers - The Character of Consciousness
Of course that doesn't mean that there isn't some sort of material-determinism still in play, but perhaps the properties of such a fundamental feature would not be subject to our standard model of physics.