Correlated states of electrons give rise to quantum matter, such as ordered magnets, spin liquids, superconductors, and topological materials. In lower dimensions, correlations assume a still pronounced importance. The exciting phenomena hosted and technological applications promised by these states of matter have further inspired the scientific community to engineer hybrids where different ingredients for correlations are provided by separate materials coupled together. Thus, such low-dimensional hybrid nanostructures have enabled engineering novel states of matter with intriguing physics, often not admitted by any single platform.