Correlated States in Quantum Dot Clusters Coupled to a Common Superconductor
The study models quantum dot clusters linked to a superconductor by mapping them onto a particle-number-conserving representation. It reveals three interacting regimes: a trivial superconducting singlet phase, a strongly correlated regime related to an effective Heisenberg model, and a critical intermediate regime exhibiting dimension-dependent behavior. The work validates using neural network variational Monte Carlo methods for studying these complex superconducting nanostructures.