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

YC Zhang - Physica Scripta, 2022 - iopscience.iop.org
In this work, we investigate the bound states in a one-dimensional spin-1 flat band system
with a Coulomb-like potential of type III, which has a unique non-vanishing matrix element in …

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

YC Zhang - Scientific Reports, 2022 - nature.com
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 …

Infinite bound states and hydrogen atom-like energy spectrum induced by a flat band

YC Zhang, GB Zhu - Journal of Physics B: Atomic, Molecular and …, 2022 - iopscience.iop.org
In this work, we investigate the bound-state problem in a one-dimensional spin-1 Dirac
Hamiltonian with a flat band. It is found that the flat band has significant effects on the bound …

Critical regions in a one-dimensional flat band lattice with a quasi-periodic potential

YC Zhang - Scientific Reports, 2024 - nature.com
In our previous work, the concept of critical region in a generalized Aubry–André model
(Ganeshan–Pixley–Das Sarma's model) has been established. In this work, we find that the …

Bound states and point interactions of the one-dimensional pseudospin-one Hamiltonian

AV Zolotaryuk, Y Zolotaryuk… - Journal of Physics A …, 2023 - iopscience.iop.org
The spectrum of a one-dimensional pseudospin-one Hamiltonian with a three-component
potential is studied for two configurations:(i) all the potential components are constants over …

Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential

YC Zhang - arXiv preprint arXiv:2205.12337, 2022 - arxiv.org
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 …