Self-consistent study of correlated triangular lattice superconductor

We investigated the emergence of unconventional superconductivity and chiral order in a correlated triangular-lattice system motivated by recent observations on monolayer Sn/Si(111) [Nat. Phys. 19, 500 (2023)]. Using self-consistent Hartree-Fock-Bogoliubov calculations, we investigate how doping and interaction strength reshape the local density of states, quasiparticle-interference spectra, and time-reversal-symmetry-breaking signatures. By tuning the chemical potential across the Mott-to-superconducting crossover, we aim to track the evolution of quasiparticle coherence and pairing symmetry. These simulations will provide microscopic insight into the real-space spectroscopic features associated with potential chiral superconductivity in these experiments.