Materials screening from noninteracting models

Properly accounting for interactions is one of the chief bottlenecks in understanding material properties, owing to the exponential expansion of the Hilbert space. Mean-field techniques allow for re-contraction of the state space while potentially preserving much of the intricacies of the interacting phase diagram. We establish and verify a correspondence between different interaction channels in the mean-field basis, allowing us to make predictions of one property based on measurements or calculations of another unrelated property. We focus specifically on predicting Tc from the exchange interaction, which is not the pairing glue. Our results provide a basis for high-throughput screening of materials by desired properties, say Tc, directly from the noninteracting model and without the need for self-consistent mean-field calculations.