Title: Strongly correlated physics in organic open-shell quantum systems

Abstract: Strongly correlated physics arises due to electron-electron scattering within partially-filled orbitals, and in this perspective, organic molecules in open-shell configuration are good candidates to exhibit many-body effects. With a focus on neutral organic radicals with a molecular orbital hosting a single unpaired electron (SOMO) we investigate many-body effects on electron transport in a single-molecule junction setup. Within a combination of density functional theory and many-body techniques, we perform numerical simulations for an effective model for which all the parameters, including the Coulomb tensor, are derived ab-initio. We demonstrate that the SOMO resonance is prone towards splitting, and identify a giant electronic scattering rate as the driving many-body mechanism, akin to a Mott metal-to-insulator transition. The nature of the splitting, and thus of the resulting gap, as well as the spatial distribution of the SOMO and its coupling to the electrodes, have dramatic effects on the transport properties of the junction. We argue that the phenomenon and the underlying microscopic mechanism are general, and apply to a wide family of open-shell molecular systems.