Abstract
The cyclically modulated Su-Schrieffer-Heeger (SSH) chain systems with long-range hoppings, including the nearest-neighbor, the next-nearest-neighbor and the third-nearest-neighbor hoppings, have been proposed and investigated in this letter. The topological nontrivial phases characterized by Chern number have been obtained, showing a rich phase diagram in the two-dimensional space of the momentum and the modulation parameter. A similar shape of phase diagram but with different Chern numbers as Haldane model with long-range hoppings has been shown, and higher Chern numbers have been obtained and verified, indicating that more edge states can be obtained in such system.
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