{"paper":{"title":"Zitterbewegung velocity in semiclassical electron dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The Zitterbewegung velocity from out-of-phase quantum geometric tensor components resolves the position-shift paradox.","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Dimitrie Culcer","submitted_at":"2026-05-14T18:08:03Z","abstract_excerpt":"Zitterbewegung plays a major role in electron dynamics in solids, yet is not captured in conventional semiclassical treatments. Here, starting from the quantum Liouville equation, I identify a new Zitterbewegung velocity, which involves the symmetric and antisymmetric components of the quantum geometric tensor oscillating out of phase. The Zitterbewegung velocity resolves the position-shift paradox, recovering the field-induced shift in an electron's position by integrating the semiclassical equations, and is directly related to the famous minimum conductivity of massless Dirac fermions."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The Zitterbewegung velocity resolves the position-shift paradox, recovering the field-induced shift in an electron's position by integrating the semiclassical equations, and is directly related to the famous minimum conductivity of massless Dirac fermions.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the symmetric and antisymmetric components of the quantum geometric tensor oscillate out of phase in a manner that produces a distinct, integrable velocity contribution when the quantum Liouville equation is projected onto semiclassical dynamics.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A new Zitterbewegung velocity is identified from the quantum Liouville equation using out-of-phase components of the quantum geometric tensor; it resolves the position-shift paradox upon integration of semiclassical equations and connects to the minimum conductivity of massless Dirac fermions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The Zitterbewegung velocity from out-of-phase quantum geometric tensor components resolves the position-shift paradox.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"bc5d0571b6af428302aa462e3822199c720fc8e966affb938d321af0ac458fd1"},"source":{"id":"2605.15292","kind":"arxiv","version":1},"verdict":{"id":"2a357a25-ae7e-43c1-b294-0a64fb31eb93","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T15:53:20.894737Z","strongest_claim":"The Zitterbewegung velocity resolves the position-shift paradox, recovering the field-induced shift in an electron's position by integrating the semiclassical equations, and is directly related to the famous minimum conductivity of massless Dirac fermions.","one_line_summary":"A new Zitterbewegung velocity is identified from the quantum Liouville equation using out-of-phase components of the quantum geometric tensor; it resolves the position-shift paradox upon integration of semiclassical equations and connects to the minimum conductivity of massless Dirac fermions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the symmetric and antisymmetric components of the quantum geometric tensor oscillate out of phase in a manner that produces a distinct, integrable velocity contribution when the quantum Liouville equation is projected onto semiclassical dynamics.","pith_extraction_headline":"The Zitterbewegung velocity from out-of-phase quantum geometric tensor components resolves the position-shift paradox."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15292/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T16:05:02.512718Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T16:01:18.176590Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T14:41:54.237690Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T13:33:22.785721Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"b44d990634a1ada0366338d2bd1425e71d681939921d3cbae3ef6dd6ace37c53"},"references":{"count":76,"sample":[{"doi":"","year":1966,"title":"R. 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