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We show how few-particle Green's functions can be calculated efficiently formodels with nearest-neighbor hopping, for infinite lattices in any dimension.As an example, for one dimensional spinless fermions with both nearest-neighborand second nearest-neighbor interactions, we investigate the ground states forup to 5 fermions. This allows us not only to find the stability region ofvarious bound complexes, but also to infer the phase diagram at small butfinite concentrations.

Few-particle Green's functions for strongly correlated systems on infinite lattices