Superconductivity and Antiferromagnetism in NdNiO2 and CaCuO2: a cluster DMFT study

We perform a comparative 2x2 real space cluster dynamical mean field theory (DMFT) study on minimal models (obtained by downfolding DFT band calculations) for NdNiO2 and CaCuO2 using a Nambu formalism that allows for both superconducting and antiferromagnetic order. We produce a phase diagram in temperature and doping. The effect of the spectator bands characteristic of the nickelate material is determined. The models have some similarities, including antiferromagnetic states and a superconducting dome that emerges upon hole doping with a small coexistence region, and some differences, including a doping shift due to spectator bands and additional quantitative differences relating to the differences in interaction strengths. A comparison to the experimental phase diagrams is presented. The implications of the predicted wide region of antiferromagnetism are discussed.