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Unconventional flat band (FB) superconductivity, as observed in van der Waalsheterostructures, could open promising avenues towards high-T$_c$ materials. InFBs, pairings and superfluid weight scale linearly with the interactionparameter, such an unusual behaviour justifies and encourages strategies topromote FB engineering. Bipartite lattices (BLs) which naturally host FBs couldbe particularly interesting candidates. Within Bogoliubov de Gennes theory andin the framework of the attractive Hubbard model in BLs, a hidden symmetry ofthe quasi-particle eigenstates is revealed. As a consequence, we demonstrateuniversal relations for the pairings and the superfluid weight that areindependent of the characteristics of the hopping term. Remarkably, it is shownthat these general properties are insensitive to disorder as long as thebipartite character is protected.

Hidden symmetry of Bogoliubov de Gennes quasi-particle eigenstates and universal relations in flat band superconducting bipartite lattices