Chaos-based potentials in the one-dimensional tight-binding model probed by the inverse participation ratio

@article{Oliveira2017ChaosbasedPI,
  title={Chaos-based potentials in the one-dimensional tight-binding model probed by the inverse participation ratio},
  author={Weslley Florentino de Oliveira and Giancarlo Queiroz Pellegrino},
  journal={Computational and Applied Mathematics},
  year={2017},
  volume={37},
  pages={3995-4006}
}
Chaos-based potentials are defined and implemented in the one-dimensional tight-binding model as a way of simulating disorder-controlled crystalline lattices. In this setting, disorder is handled with the aid of the chaoticity parameter. The inverse participation ratio (IPR) probes the response of the system to three different such potentials and shows consistent agreement with results given by the Lyapunov exponent $$\mathrm{Ly}$$Ly: the greater $$\mathrm{Ly}(r)$$Ly(r) for the chaotic sequence… 

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