Model of two-dimensional topological insulators with Su-Schrieffer-Heeger electron-lattice coupling

We present a model of two-dimensional topological insulators, in which electronic states coupled to lattice distortions through the Su-Schrieffer-Heeger mechanism have non-trivial topological properties. Electronic properties of various twin and antiphase boundaries are calculated for the model and compared with the predictions based on topological arguments.