Enhanced superconductivity via layer differentiation in the trilayer Hubbard model

The multilayer cuprates host the highest superconducting transition temperature while their underlying physical mechanism remains unclear. By employing large-scale dynamical cluster quantum Monte Carlo simulations, the authors show here that the trilayer Hubbard model, with a realistic doping distribution within three layers, exhibits a higher ${T}_{c}$ than the single-layer model. This work also provides strong numerical evidence on the possibility of $d$-wave superconductivity solely hosted in the inner layer.