Exclusion of competing many-body instabilities

Determine whether competing many-body instabilities, including insulating phases, prevent the predicted high-temperature superconducting states of the two-dimensional bilayer mixed-dimensional systems from forming.

Background

The calculated critical temperatures are obtained within a framework focused on superconducting order, but doped systems of repulsively interacting fermions may support competing ordered phases. The paper specifically identifies insulating and superconducting instabilities as possible competitors and notes that their competition must be analyzed before the predicted superconducting states can be regarded as physically realized. The authors indicate that an extension of the matrix-product-state-plus-mean-field framework could address this issue.

References

And what entropies per particle $S/N$ do our calculated $T_c$-values actually correspond to, given that $S/N$ is the actual figure of merit that determines which correlated phases can be reached by atomic lattices gases in practice?

— Predicting critical temperature in quantum simulators for high-$T_c$ superconductivity: the matrix product state plus mean field approach  (2608.18861 - Köhler et al., 19 Aug 2026) in Section 4, Discussion