“…In the case of solid-state multiorbital models, the U-term penalizes spatial charge fluctuations (local occupancies different from the average filling), while the J-term favors high-spin configurations and, to a lesser degree, high orbital angular momentum [1][2][3]. This competition results in an extremely rich scenario of intriguing quantum phases, such as orbital-selective Mott phases (where some bands undergo Mott localization, while others remain metallic) [4][5][6][7], orbital-selective superconductors [8] and the so-called "Hund's metal" [2,[9][10][11][12]. These regimes, besides their conceptual interest, have been invoked to understand the properties of different materials, among which iron-based superconductors [13,14] and ruthenates [15].…”