General Periodic Anderson Hamiltonians and their application to Infinite-layer Nickelates

We study generalized Periodic Anderson Models(PAMs) in two and three spatial dimensions using the functional Renormalization Group(fRG). In two dimensions, we replicate the emergence of d-type superconductivity established in Wu et.al.[1] in a half-filled PAM and further explore the superconducting and magnetic correlations upon doping the system. Continuing this study into three dimensions, we show that d_x²-y² superconductivity arises in a series of 3D ab-initio models of the Nickelates (RNiO₂). We study this first by looking into a three dimensional Hubbard model with weak z-hopping and then by exploring a PAM-Hubbard model including the R − d_z² orbital and the interstitial-s as hybridizing conducting bands.

Reference:

[1] W. Wu and A.-M.-S. Tremblay, Physical Review X 5, 011019 (2015)