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We report a determinant quantum Monte Carlo study of a two-band model,inspired by infinite-layer nickelates, focusing on the influence of interlayerhybridization between $3d_{x^2-y^2}$ orbitals derived from Ni (or Ni and O) inone layer and rare-earth ($R$) 5d orbitals in the other layer, hereafter the NIand $R$ layers, respectively. For a filling with one electron shared betweenthe two layers on average, interlayer hybridization leads to "self-doped" holesin the Ni layer and the absence of antiferromagnetic ordering, but rather theappearance of spin-density and charge-density stripe-like states. As theinterlayer hybridization increases, both the Ni and $R$ layers developantiferromagnetic correlations, even though either layer individually remainsaway from half-filling. For hybridization within an intermediate range, roughlycomparable to the intralayer nearest-neighbor hopping $t_{\text{Ni}}$, themodel develops signatures of Kondo-like physics.

The Emergence of Antiferromagnetic Correlations and Kondo-like Features in a Two-Band Model for Infinite-Layer Nickelates