Many Barbarians in DnD also have ties to various forms of spirituality, while they themselves don't use magic, they do channel primal sources of energy in their altered state, not unlike a Shaman trying to channel energy or spirits while in their altered state. This can be seen in some of their subclass options, we have animal spirit totems to empower you, ancestor spirit summoning, channeling the energy of storms, and literally transforming to take on the aspects of a predator to aid you in battle. Then you have Zealot, and that's an entire thing all on it's own and I have many question about the motivations of deity that sponsors a Barbarian instead of a Paladin.