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The recently proposed Multi-coupled Dark Energy (McDE) scenario -characterised by two distinct Cold Dark Matter (CDM) particle species withopposite couplings to a Dark Energy scalar field - introduces a number of novelfeatures in the small-scale dynamics of cosmic structures, most noticeably thesimultaneous existence of both attractive and repulsive fifth-forces. Suchsmall-scale features are expected to imprint possibly observable footprints onnonlinear cosmic structures, that might provide a direct way to test thescenario. In order to unveil such footprints, we have performed the first suiteof high-resolution N-body simulations of McDE cosmologies, covering thecoupling range $|\beta |\leq 1$. We find that for coupling values correspondingto fifth-forces weaker than standard gravity, the impact on structure formationis very mild, thereby showing a new type of screening mechanism for long-rangescalar interactions. On the contrary, for fifth-forces comparable to orstronger than standard gravity a number of effects appear in the statisticaland structural properties of CDM halos. Collapsed structures start to fragmentinto pairs of smaller objects that move on different trajectories, providing adirect evidence of the violation of the weak equivalence principle.Consequently, the relative abundance of halos of different masses issignificantly modified. For sufficiently large coupling values, the expectednumber of clusters is strongly suppressed, which might alleviate the presenttension between CMB- and cluster-based cosmological constraints. Finally, theinternal structure of halos is also modified, with a significant suppression ofthe inner overdensity, and a progressive segregation of the two CDM species.

Cold dark matter halos in Multi-coupled Dark Energy cosmologies: structural and statistical properties