{"paper":{"title":"Electron states for gapped pseudospin-1 fermions in the field of charged impurity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D. O. Oriekhov, E. V. Gorbar, V. P. Gusynin","submitted_at":"2018-12-28T12:55:44Z","abstract_excerpt":"The electron states of gapped pseudospin-1 fermions of the $\\alpha-{\\cal T}_3$ lattice in the Coulomb field of a charged impurity are studied. The free $\\alpha-{\\cal T}_3$ model has three dispersive bands with two energy gaps between them depending on the parameter $\\Theta$ which controls the coupling of atoms of honeycomb lattice with atoms in the center of each hexagon, thus, interpolating between graphene $\\Theta=0$ and the dice model $\\Theta=\\pi/4$. The middle band becomes flat one with zero energy in the dice model. The bound electron states are found in the two cases: the centrally symme"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10979","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}