Nickelate High-Tc Superconductivity Dataset: Tc Scaling via Hybrid Hubbard–BCS Model and Monte Carlo Simulation

This dataset contains theoretical predictions and simulation results for high-temperature superconductivity in layered nickelates. The model combines a mean-field Hubbard–BdG framework with BCS and Allen-Dynes approximations, incorporating strain-induced scaling of the critical temperature (Tc). Using realistic parameters (t = 1.0 eV, U = 4.0 eV), the base Tc is 52 K with a superconducting gap Δ₀ ≈ 17 meV. Under epitaxial strain (α_S = 3.77), Tc reaches 212 K and Δ₀ increases to 69.3 meV. The dataset includes:- Tc and Δ₀ scaling table across α_S values from 1.00 to 3.77- Monte Carlo simulation results (5000 runs) with Tc distribution (mean: 148.9 K, σ: 29.8 K)- Experimental PLD protocol using LaAlO₃ substrates- Material parameters for LaNiO₃ and LaAlO₃ This work provides a reproducible and testable framework for high-Tc superconductivity in nickelates, with potential applications in energy transmission and quantum computing. The accompanying manuscript is included as a PDF.