Superconductivity and Bound States in Topological Models

We investigate superconductivity in topological structures, such as the two-dimensional Su-Schrieffer-Heeger (SSH) model. Depending on the doping concentration, we find regimes of bulk, edge, and corner superconductivity. We examine the pair correlations and the local density of states. In generalized 2D SSH models, hopping pattern variations are shown to induce distinct pairing patterns. Bound states in the bulk are identified and analyzed within the Bogoliubov-de Gennes formalism.