Abstract
This work studies a two-dimensional extension of the Su-Schrieffer-Heeger model on a square lattice. This model has been shown to be a higher order topological insulator, displaying not only edge modes but also corner modes. This work analyzes their main properties, and in particular, their robustness to the presence of disorder. Precise conditions for the existence of zero energy corner modes in the presence of disorder is obtained. Moreover, it is shown how this model can be exactly realised in acoustics using networks of waveguides.
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