Solving a singular integral equation for the one-dimensional Coulomb problem

A Shutovskyi, V Sakhnyuk, V Muliar - Physica Scripta, 2023 - iopscience.iop.org
A new integral equation that describes the behavior of the momentum space wave function
for the one-dimensional Coulomb potential is proposed. The obtained result turned out to be …

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 …

Identifying Klein tunneling signatures in bearded Su-Schrieffer-Heeger lattices from bent flat bands

Y Betancur-Ocampo, G Monsivais - Physical Review B, 2024 - APS
Su-Schrieffer-Heeger (SSH) lattices have helped to understand key concepts of topological
insulators. In this paper, we study the transmission properties of pn junctions of bearded …

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 …

Identifying Klein tunneling signatures in bearded SSH lattices from bent flat bands

Y Betancur-Ocampo, G Monsivais - arXiv preprint arXiv:2312.10621, 2023 - arxiv.org
Su-Schrieffer-Heeger (SSH) lattices have helped to understand key concepts of topological
insulators. In this paper, we study the transmission properties of $ pn $ junctions of bearded …

Wave function collapses and 1/n energy spectrum induced by a Coulomb potential in a one-dimensional flat band system

YC Zhang - Chinese Physics B, 2022 - iopscience.iop.org
We investigate the bound state problem in a one-dimensional flat band system with a
Coulomb potential. It is found that, in the presence of a Coulomb potential of type I (with …

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 …