Nonlinearity-induced transition in the nonlinear Su-Schrieffer-Heeger model and a nonlinear higher-order topological system

@article{Ezawa2021NonlinearityinducedTI,
  title={Nonlinearity-induced transition in the nonlinear Su-Schrieffer-Heeger model and a nonlinear higher-order topological system},
  author={Motohiko Ezawa},
  journal={Physical Review B},
  year={2021}
}
  • M. Ezawa
  • Published 13 October 2021
  • Physics
  • Physical Review B
We study the topological physics in nonlinear Schrödinger systems on lattices. We employ the quench dynamics to explore the phase diagram, where a pulse is given to a lattice point and we analyze its time evolution. There are two system parameters λ and ξ, where λ controls the hoppings between the neighboring links and ξ controls the nonlinearity. The dynamics crucially depends on these system parameters. Based on analytical and numerical studies, we derive the phase diagram of the nonlinear Su… 
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