2D topological matter from a boundary Green's functions perspective: Faddeev-LeVerrier algorithm implementation

Since the breakthrough of twistronics a plethora topological phenomena in correlated systems has appeared. These devices can be typically analyzed terms lattice models using Green's function techniques. In this work we introduce general method to obtain boundary such taking advantage numerical Faddeev-LeVerrier algorithm circumvent some analytical constraints previous works. We illustrate our formalism analyzing edge features Chern insulator, Kitaev square model for superconductor and Checkerboard hosting flat bands. The efficiency accuracy is demonstrated by comparison recursive calculations.