{"paper":{"title":"Graphene with vacancies: supernumerary zero modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"Ferdinand Evers, Gemma C. Solomon, Johannes Schindler, Norman Weik, Soumya Bera","submitted_at":"2016-03-01T10:13:03Z","abstract_excerpt":"The density of states, $\\varrho(E)$, of graphene is investigated within the tight binding (H\\\"uckel) approximation in the presence of vacancies. They induce a non-vanishing density of zero modes, $n_\\text{zm}$, that act as midgap states: $\\varrho(E)=n_\\text{zm}\\delta(E) + \\text{smooth}$. As is well known, the actual number of zero modes per sample can in principle exceed the sublattice imbalance: $N_\\text{zm}\\geq |N_\\text{A}-N_\\text{B}|$, where $N_\\text{A}$, $N_\\text{B}$ denote the number of carbon atoms in each sublattice. In this work, we establish a stronger relation that is valid in the th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00212","kind":"arxiv","version":3},"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"}