{"paper":{"title":"Finite-frequency anomaly-induced electromechanical response of Dirac fermions in deformed graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Mechanical deformations in graphene generate transverse electric currents via the parity-odd response of massive Dirac cones.","cross_cats":["cond-mat.dis-nn","cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Ara Sedrakyan","submitted_at":"2026-05-17T19:52:10Z","abstract_excerpt":"A deformation of a graphene sheet changes more than the positions of the atoms. In the low-energy Dirac theory it also produces geometric electron-phonon vertices. One of these vertices acts as an emergent phonon gauge field, $\\calA_\\mu$, which couples to the same Dirac current as the electromagnetic vector potential. This shared current vertex gives a direct route from mechanics to electronics: a moving deformation can generate a transverse electric current, and a deformation pattern with emergent phonon flux can bind electric charge. We show that the coefficient of this mixed electromechanic"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that the coefficient of this mixed electromechanical response is the parity-odd current-current correlator of a massive Dirac cone. For an insulating cone the coefficient is the one-cone Chern-Simons value, while for a doped cone in the local regime it is reduced by the Berry curvature factor m/|μ|.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The low-energy Dirac theory remains valid and the deformation-induced geometric vertices can be represented as an emergent phonon gauge field A_μ that couples to the Dirac current identically to the electromagnetic vector potential.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The coefficient of the anomaly-induced electromechanical response in deformed graphene equals the parity-odd current-current correlator of a massive Dirac cone, taking the one-cone Chern-Simons value for insulators and reduced by the Berry curvature factor m/|μ| for doped cones in the local regime.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Mechanical deformations in graphene generate transverse electric currents via the parity-odd response of massive Dirac cones.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"32b7951b78440568eb6fd14547f2b57a2bd9ef8a20c40d1232feefd5ed20d7e8"},"source":{"id":"2605.17632","kind":"arxiv","version":1},"verdict":{"id":"983ab5e5-b056-4c46-a614-d5339ee9a6f7","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:18:16.077901Z","strongest_claim":"We show that the coefficient of this mixed electromechanical response is the parity-odd current-current correlator of a massive Dirac cone. For an insulating cone the coefficient is the one-cone Chern-Simons value, while for a doped cone in the local regime it is reduced by the Berry curvature factor m/|μ|.","one_line_summary":"The coefficient of the anomaly-induced electromechanical response in deformed graphene equals the parity-odd current-current correlator of a massive Dirac cone, taking the one-cone Chern-Simons value for insulators and reduced by the Berry curvature factor m/|μ| for doped cones in the local regime.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The low-energy Dirac theory remains valid and the deformation-induced geometric vertices can be represented as an emergent phonon gauge field A_μ that couples to the Dirac current identically to the electromagnetic vector potential.","pith_extraction_headline":"Mechanical deformations in graphene generate transverse electric currents via the parity-odd response of massive Dirac cones."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17632/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"cited_work_retraction","ran_at":"2026-05-19T22:52:43.785822Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T22:31:19.514430Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:31:02.228693Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.558329Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:21:57.481765Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"d992fed536f88fa06bfab910c8b760bca77094bdab31f0fd576fc22d8c08c321"},"references":{"count":44,"sample":[{"doi":"","year":null,"title":"Thus the effect is strongest for fast, short-wavelength rip- ples while remaining within the small-slope regime","work_id":"e2e71055-ee95-4839-a38a-7ba5d262a186","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1986,"title":"Dy- namics of Dirac and Weyl fermions on a two-dimensional surface,","work_id":"0fedad18-d2e1-40b1-add8-abcaca2c12ed","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1987,"title":"Dirac and Weyl fermions coupled to two-dimensional surfaces: Determinants,","work_id":"35a5dbe1-8e82-4c17-9372-237afbf84412","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2011,"title":"Optical con- ductivity of graphene in the presence of random lattice deformations,","work_id":"d11128f5-889a-40a6-9b21-94954e2a13ff","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2021,"title":"Deformation of a graphene sheet: Interaction of fermions with phonons,","work_id":"abc82d00-8470-4c57-80db-22dbbd249f3d","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":44,"snapshot_sha256":"d8acdd02ff25021d4ce0b6e98bf485c383b5268bb797020cf1b82b38fd442e5d","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9f77408a82232722f05950b8e3c743b9d4659b75c9543464b7c272a7143a7ddd"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}