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Strongly interacting electrons in layered materials give rise to a plethoraof emergent phenomena, such as unconventional superconductivity. heavyfermions, and spin textures with non-trivial topology. Similar effects can alsobe observed in bulk materials, but the advantage of two dimensional (2D)systems is the combination of local accessibility by microscopic techniques andtuneability. In stacks of 2D materials, for example, the twist angle can beemployed to tune their properties. However, while material choice and twistangle are global parameters, the full complexity and potential of suchcorrelated 2D electronic lattices will only reveal itself when tuning theirparameters becomes possible on the level of individual lattice sites. Here, wediscover a lattice of strongly correlated electrons in a perfectly ordered 2Dsupramolecular network by driving this system through a cascade of quantumphase transitions using a movable atomically sharp electrostatic gate. As thegate field is increased, the molecular building blocks change from aKondo-screened to a paramagnetic phase one-by-one, enabling us to reconstructtheir complex interactions in detail. We anticipate that the supramolecularnature of the system will in future allow to engineer quantum correlations inarbitrary patterned structures.

Portrait of locally driven quantum phase transition cascades in a molecular monolayer