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Pairing and superconductivity in quasi-one-dimensional flat-band systems: Creutz and sawtooth lattices

Pairing and superconductivity in quasi-one-dimensional flat-band systems: Creutz and sawtooth lattices

We study the pairing and superconducting properties of the attractive Hubbard model in two quasi one-dimensional topological lattices: the Creutz and sawtooth lattices. They share two peculiar properties: each of their band structures exhibits a flat band with a non-trivial winding number. The difference, however, is that only the Creutz …