  The phase diagrams of quasi two-dimensional organic superconductors display a
plethora of fundamental phenomena associated with strong electron correlations,
such as unconventional superconductivity, metal-insulator transitions,
frustrated magnetism and spin liquid behavior. We analyze a minimal model for
these compounds, the Hubbard model on an anisotropic triangular lattice, using
cutting-edge quantum embedding methods respecting the lattice symmetry. We
demonstrate the existence of unconventional superconductivity by directly
entering the symmetry-broken phase. We show that the crossover from the Fermi
liquid metal to the Mott insulator is associated with the formation of a
pseudogap. The predicted momentum-selective destruction of the Fermi surface
into hot and cold regions provides motivation for further spectroscopic
studies. Our results are in remarkable agreement with experimental phase
diagrams of $\kappa$-BEDT organics.
