{"paper":{"title":"Universal Transport Theory for Paired Fractional Quantum Hall States in the Quantum Point Contact Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A weak-strong duality maps strong quasiparticle tunneling to weak electron tunneling and yields stable scaling exponents that distinguish paired fractional quantum Hall states.","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"Eslam Ahmed, Hiroki Isobe, Kentaro Nomura, Ryoi Ohashi, Yukio Tanaka","submitted_at":"2026-01-13T18:26:51Z","abstract_excerpt":"Even-denominator fractional quantum Hall (FQH) states can be viewed as topological superconductors of composite fermions, supporting a charged chiral mode and $|\\mathcal{C}_{cf}|$ neutral Majorana modes set by the Chern number $\\mathcal{C}_{cf}$. Despite ongoing efforts, distinguishing the many competing paired phases remains an open problem. In this work, we propose a unified theory of charge transport across a quantum point contact (QPC) for general paired FQH states described by an $so(N)_1 \\times u(1)$ conformal field theory. We derive the boundary effective action for an arbitrary number "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We establish a weak-strong duality relating strong quasiparticle tunneling to weak electron tunneling. We calculate the scaling dimensions of the tunneling operators and demonstrate that while the weak-coupling fixed point is generally unstable, the strong-coupling fixed point is stable for physically relevant filling fractions and number of Majorana fermions. These transport exponents provide a distinct experimental fingerprint to identify the topological phases of even-denominator FQH states.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The paired FQH states are accurately described by an so(N)_1 × u(1) conformal field theory for arbitrary N = |C_cf|, and the non-perturbative instanton approximation remains valid across the relevant parameter range.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A conformal field theory treatment of paired fractional quantum Hall states in the quantum point contact geometry yields stable strong-coupling fixed points and distinct transport scaling exponents that serve as fingerprints for identifying the underlying topological order.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A weak-strong duality maps strong quasiparticle tunneling to weak electron tunneling and yields stable scaling exponents that distinguish paired fractional quantum Hall states.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"bc471088a53ae37687b12d7917e002a0a776f05b50ad2b06b85fb9d5c7bc0a87"},"source":{"id":"2601.08792","kind":"arxiv","version":2},"verdict":{"id":"ddd31ba9-b638-471b-bdd9-a06891500cd9","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T14:38:30.205904Z","strongest_claim":"We establish a weak-strong duality relating strong quasiparticle tunneling to weak electron tunneling. We calculate the scaling dimensions of the tunneling operators and demonstrate that while the weak-coupling fixed point is generally unstable, the strong-coupling fixed point is stable for physically relevant filling fractions and number of Majorana fermions. These transport exponents provide a distinct experimental fingerprint to identify the topological phases of even-denominator FQH states.","one_line_summary":"A conformal field theory treatment of paired fractional quantum Hall states in the quantum point contact geometry yields stable strong-coupling fixed points and distinct transport scaling exponents that serve as fingerprints for identifying the underlying topological order.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The paired FQH states are accurately described by an so(N)_1 × u(1) conformal field theory for arbitrary N = |C_cf|, and the non-perturbative instanton approximation remains valid across the relevant parameter range.","pith_extraction_headline":"A weak-strong duality maps strong quasiparticle tunneling to weak electron tunneling and yields stable scaling exponents that distinguish paired fractional quantum Hall states."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.08792/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":50,"sample":[{"doi":"","year":1991,"title":"G. Moore and N. Read, Nonabelions in the fractional quantum hall effect, Nuclear Physics B360, 362 (1991)","work_id":"4a36bcd9-11a2-4023-89bb-dd05c715cfaa","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2007,"title":"M. Levin, B. I. Halperin, and B. Rosenow, Particle-hole 9 symmetry and the pfaffian state, Phys. Rev. Lett.99, 236806 (2007)","work_id":"f91289fc-adbd-419a-af48-3ada336c2952","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2007,"title":"S.-S. Lee, S. Ryu, C. Nayak, and M. P. A. Fisher, Particle-hole symmetry and theν= 5 2 quantum hall state, Phys. Rev. Lett.99, 236807 (2007)","work_id":"e0d1a971-7493-4258-80bd-8d4f4a1ac0ee","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"D. T. Son, Is the composite fermion a dirac particle?, Phys. Rev. X5, 031027 (2015)","work_id":"f5bac3c4-5e1a-4a6e-ac4c-b287adb71598","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1983,"title":"B. I. Halperin, Theory of the quantized hall conductance, helv. phys. acta56, 75 (1983)","work_id":"3034f910-b1a1-4485-b042-c75a22c47984","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":50,"snapshot_sha256":"8f1a694b3a939939d3b9a5b6095b2470554faa645d86a933e3ada687fd477e45","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"}