Edge and corner superconductivity in a two-dimensional topological model

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess non-trivial topological band structure. For this model, characterized by single parameter, hopping ratio $0 \leq r\leq 1$, inhomogeneous superconducting phases induced an attractive $U$ Hubbard interaction are studied using mean field theory. show, analytically and numerical diagonalization, that in lattices with open boundaries, enhanced order on corners or edges can appear, depending filling. finite samples at half filling, corner site transition temperature be much larger than bulk. A novel proximity effect thus arises for $T_{c,bulk} < T<T_{c,corner}$, creates nonzero tail show such tails should observable range $r$ values.