{"paper":{"title":"Integer quantum Hall transition in a $\\textit{fraction}$ of a Landau level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","quant-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Matteo Ippoliti, R. N. Bhatt, Scott D. Geraedts","submitted_at":"2017-11-13T16:32:27Z","abstract_excerpt":"We investigate the quantum Hall problem in the lowest Landau level in two dimensions, in the presence of an arbitrary number of $\\delta$-function potentials arranged in different geometric configurations. When the number of delta functions $N_\\delta$ is smaller than the number of flux quanta through the system ($N_\\phi$), there is a manifold of $(N_\\phi-N_\\delta)$ degenerate states at the original Landau level energy. We prove that the total Chern number of this set of states is +1 regardless of the number or position of the $\\delta$ functions. Furthermore, we find numerically that, upon the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04688","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"}