{"paper":{"title":"STRUCTURING THE SET OF INCOMPRESSIBLE QUANTUM HALL FLUIDS","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat","authors_text":"E. Thiran, J. Froehlich, T. Kerler, U.M. Studer","submitted_at":"1995-05-31T14:54:24Z","abstract_excerpt":"A classification of incompressible quantum Hall fluids in terms of integral lattices and arithmetical invariants thereof is proposed. This classification enables us to characterize the plateau values of the Hall conductivity $\\sH$ in the interval $\\,(0,1]\\,$ (in units where $\\,e^2/h=1$) corresponding to ``stable'' incompressible quantum Hall fluids. A bijection, called shift map, between classes of stable incompressible quantum Hall fluids corresponding to plateaux of $\\sH$ in the intervals $\\,[1/(2\\mini p+1),1/(2\\mini p-1)\\mini)\\,$ and $\\,[1/(2\\mini q+1),1/(2\\mini q-1)\\mini)$, respectively, i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9505156","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"}