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Topological phases of generalized Su-Schrieffer-Heeger models

Topological phases of generalized Su-Schrieffer-Heeger models

We study the extended Su-Schrieffer-Heeger model with both nearest-neighbor and next-nearest-neighbor hopping strengths cyclically modulated and find the family of the model system exhibiting topologically nontrivial phases, which can be characterized by a nonzero Chern number defined in a two-dimensional space spanned by the momentum and a modulation parameter. It …