| Popis: |
In a recent paper [Phys. Rev. B 99, 155124 (2019)], the spectrum of a regularized Coulomb charge was studied in gapped pseudospin-1 systems generated by an $\ensuremath{\alpha}\ensuremath{-}{\mathcal{T}}_{3}$ lattice. The electronic spectrum was studied as a function of the impurity strength $Z\ensuremath{\alpha}$. However, the results and conclusions on the behavior of the flatband states as a function of the impurity strength are incomplete. In this Comment, I argue that because of the dispersionless nature of the flatband, the states spread out under the influence of a charged impurity forming a continuous band of states. I support my arguments with explicit numerical calculations which show the emergence of a continuum of states. |
