{"paper":{"title":"Spin responses of a disordered helical superconducting edge under Zeeman field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling.","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Mir Vahid Hosseini, Zeinab Bakhshipour","submitted_at":"2025-11-06T10:51:53Z","abstract_excerpt":"We investigate analytically and numerically the effects of disorder on the helical edge of the 2D topological insulator in the presence of the Zeeman field and superconductivity. Employing bosonization and a renormalization-group analysis, we study how impurity potentials modify charge- and spin-density wave correlations as well as superconducting pair correlations. Our results reveal that the Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the re"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the relevant regime for disorder; disorder induces logarithmic suppression of transverse density-wave correlations while introducing positive logarithmic corrections that enhance superconducting pair correlations and contribute to their stability, directly modifying the scaling of spin conductance.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"Bosonization combined with renormalization-group flow remains quantitatively reliable for the disordered helical edge once the Zeeman field and superconducting pairing terms are included, without additional relevant operators or strong-coupling fixed points that would invalidate the perturbative analysis.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Zeeman field tunes the competition between superconductivity and disorder effects in helical edges, with disorder causing logarithmic suppression of density-wave correlations and enhancement of superconducting ones that alters spin conductance scaling.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f1f2e28bf3b04c51fc0b1be2bb69a95823948e172722b744f1be14ec11353423"},"source":{"id":"2511.04263","kind":"arxiv","version":4},"verdict":{"id":"4757811c-433d-492d-a42a-e9e97ff017e1","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T01:10:42.078868Z","strongest_claim":"The Zeeman field controls the competition: in the attractive regime, it amplifies the superconducting gap, while in the repulsive regime, it stabilizes impurity effects by keeping the system longer in the relevant regime for disorder; disorder induces logarithmic suppression of transverse density-wave correlations while introducing positive logarithmic corrections that enhance superconducting pair correlations and contribute to their stability, directly modifying the scaling of spin conductance.","one_line_summary":"Zeeman field tunes the competition between superconductivity and disorder effects in helical edges, with disorder causing logarithmic suppression of density-wave correlations and enhancement of superconducting ones that alters spin conductance scaling.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"Bosonization combined with renormalization-group flow remains quantitatively reliable for the disordered helical edge once the Zeeman field and superconducting pairing terms are included, without additional relevant operators or strong-coupling fixed points that would invalidate the perturbative analysis.","pith_extraction_headline":"The Zeeman field steers whether disorder or superconductivity wins on a helical topological edge, with disorder adding logarithmic boosts to pairing while changing spin conductance scaling."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2511.04263/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"f841f41af5ce18a0deb7c4e2c4ec877649224cf13b9b04fe2f27668a0ac834f2"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}