Theory of Rare-earth Infinite Layer Nickelates

The recent discovery of superconductivity in oxygen-reduced monovalent nickelates has raised a new platform for the study of unconventional superconductivity, with similarities and differences with the cuprate high temperature superconductors. In this paper we discuss general trends of the infinite-layer nickelate RNiO$_2$ with rare-earth R spanning across the lanthanide series. We determine that the role of oxygen charge transfer diminishes when traversing from La to Lu, with a prominent role played by rare-earth 5d electrons near the Fermi level. A decrease in lattice volume indicates that the magnetic exchange additionally grows, which may be favorable for superconductivity. However compensation effects from the itinerant 5d electrons present a closer analogy to Kondo lattices, indicating a more complex interplay between charge transfer, bandwidth renormalization, compensation, and magnetic exchange.