Quantum Magnetic Phenomena: From QCD to Dirac semimetals

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Studies of relativistic matter in strong magnetic fields attracted a lot of attention in recent years. Such studies are primarily motivated by the phenomenology of compact stars, the evolution of the Early Universe, and the physics of relativistic heavy ion collisions. Additionally, the outcomes of such research result in deeper understanding of a large class of novel condensed matter materials (e.g., graphene and Dirac semimetals. I will review recent surprises, ideas, and the progress made in understanding physical properties of relativistic matter in strong magnetic fields.