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One-dimensional topological edge modes are usually studied considering theinterface between two different semi infinite periodic crystals (PCs) withinverted band structure around the Dirac point. Here we consider the case wherethe two PCs are finite, constituting an open scattering system, and we studythe influence of the size of this finite structure on the interface mode byinspecting the complex resonances. First we show the complex resonancedistribution corresponding to the band inversion around the Dirac point.Perturbations from the Dirac point display the emergence of the localizedinterface mode. We also report on a remarkable robustness of the interface modeas the system size varies which persists even for the smallest possible size.

Finite size effects on topological interface states in one-dimensional scattering systems