Superconductivity, superfluidity and quantum geometry in twisted multilayer systems

Designer 2D materials where the constituent layers are not aligned may result in band structures with dispersionless, "flat" bands. Twisted bilayer graphene has been found to show correlated phases as well superconductivity related such flat In parallel, theory work discovered that and superfluidity is determined by quantum geometry topology of structure. These recent key developments merging a flourishing research topic: understanding possible connection ramifications on induced moir\'e multilayer other systems. This article presents an introduction how governs platforms including, beyond, graphene. We explain new type TBG could affect superconductivity, pinpoint geometric contribution its Beretzinskii-Kosterlitz-Thouless (BKT) critical temperature, mention beyond TBG. Ultracold gases introduced complementary platform for effects comparison made materials. An outlook sketches prospects twisted systems providing route room temperature superconductivity.