# Bound states in the continuum (BIC) protected by self-sustained potential barriers in a flat band system

@article{Zhang2022BoundSI, title={Bound states in the continuum (BIC) protected by self-sustained potential barriers in a flat band system}, author={Yi-Cai Zhang}, journal={Scientific Reports}, year={2022}, volume={12} }

In this work, we investigate the bound states in the continuum (BIC) of a one-dimensional spin-1 flat band system. It is found that, when the potential is sufficiently strong, there exists an effective attractive potential well surrounded by infinitely high self-sustained barriers. Consequently, there exist some BIC in the effective potential well. These bound states are protected by the infinitely high potential barriers, which could not decay into the continuum. Taking a long-ranged Coulomb…

## 4 Citations

Infinite bound states and 1/n energy spectrum induced by a Coulomb-like potential of type III in a flat band system

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In the previous work, the concept of critical region in a generalized Aubry-Andr´e model (Ganeshan-Pixley-Das Sarma’s model) has been set up. In this work we propose that the critical region can be…

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