Quantum materials can realise exotic states of matter, such as superconductivity and topological phases. These two promise to have manifold applications in microelectronics or quantum computing. The simplest quantum materials are electronic band insulators. Dr Schindler will start out his talk by explaining how they can be classified in terms of symmetry and topology. in the second part of the talk, he will describe some results incorporating electronic interactions into the framework to twisted bilayer graphene, a material currently under intense investigation for its unconventional superconductivity.

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