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The novel nickelate superconductors of infinite-layer type featurechallenging electronic pecularities in the normal-state phase diagram withdoping. Distinct many-body behavior and different dispersion regimes of theentangled $\{$Ni-$d_{z^2}$, Ni-$d_{x^2-y^2}$$\}$ orbital sector give rise tohighly rich physics, which is here studied for the case of the NdNiO$_2$system. An analysis based on advanced realistic dynamical mean-field theoryunveils that the superconducting hole-doped region is the meeting place of a(self-)doped Mott insulator from the underdoped side, and a bad Hund metal fromthe overdoped side. Fermi-level crossing of the Ni-$d_{z^2}$ flat-band tiesboth regimes together to form a singular arena for unconventionalsuperconductivity. We furthermore shed light on the intriguing problem ofelusive magnetism in infinite-layer nickelates. Antiferromagnetic (AFM) orderwith small Ni moments is shown to be a vital competitor at low temperature. Atstoichiometry, C-AFM order with ferromagnetic spin-alignment along the $c$-axisbenefits from a conceivable coexistence with Kondo(-lattice) screening.

Doping-dependent character and possible magnetic ordering of NdNiO$_2$