{"paper":{"title":"Quantized Transport in Floquet Topological Insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Floquet topological systems show quantized longitudinal and Hall conductances set by the winding invariant once all sideband contributions are summed.","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Abhishek Dhar, Manas Kulkarni, Rekha Kumari","submitted_at":"2026-05-13T06:39:56Z","abstract_excerpt":"We study quantum transport in a periodically driven (Floquet) topological system coupled to static fermionic reservoirs. Using the Floquet nonequilibrium Green's-function (NEGF) formalism we show, from exact numerics for a strip geometry, that the two-terminal (longitudinal) conductance is quantized as $|W_{\\varepsilon}|\\,e^2/h$, while the Hall (transverse) conductance is quantized as $W_{\\varepsilon}\\,e^2/h$, where $W_{\\varepsilon}$ is the Floquet winding invariant associated with the quasienergy gap at $\\varepsilon = 0$ or $\\varepsilon = \\Omega/2$. Quantization is achieved only after summing"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Using the Floquet nonequilibrium Green's-function (NEGF) formalism we show, from exact numerics for a strip geometry, that the two-terminal (longitudinal) conductance is quantized as |W_ε| e²/h, while the Hall (transverse) conductance is quantized as W_ε e²/h, where W_ε is the Floquet winding invariant associated with the quasienergy gap at ε = 0 or ε = Ω/2.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"Quantization holds only after summing over the contribution of all Floquet sidebands; the analytic proof is restricted to the weak-coupling limit to the reservoirs.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"In Floquet topological systems the two-terminal conductance quantizes to |W_ε| e²/h and the Hall conductance to W_ε e²/h after summing all Floquet sidebands, where W_ε is the winding invariant of the quasienergy gap.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Floquet topological systems show quantized longitudinal and Hall conductances set by the winding invariant once all sideband contributions are summed.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a3ddd2cf065855350b24ef2f24ca867ffe3f85f110ad3cec79cedf0520242c4e"},"source":{"id":"2605.13066","kind":"arxiv","version":1},"verdict":{"id":"cc266710-5138-4cd1-b74f-13d139ad9b21","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T02:20:48.064348Z","strongest_claim":"Using the Floquet nonequilibrium Green's-function (NEGF) formalism we show, from exact numerics for a strip geometry, that the two-terminal (longitudinal) conductance is quantized as |W_ε| e²/h, while the Hall (transverse) conductance is quantized as W_ε e²/h, where W_ε is the Floquet winding invariant associated with the quasienergy gap at ε = 0 or ε = Ω/2.","one_line_summary":"In Floquet topological systems the two-terminal conductance quantizes to |W_ε| e²/h and the Hall conductance to W_ε e²/h after summing all Floquet sidebands, where W_ε is the winding invariant of the quasienergy gap.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"Quantization holds only after summing over the contribution of all Floquet sidebands; the analytic proof is restricted to the weak-coupling limit to the reservoirs.","pith_extraction_headline":"Floquet topological systems show quantized longitudinal and Hall conductances set by the winding invariant once all sideband contributions are summed."},"references":{"count":69,"sample":[{"doi":"","year":null,"title":"We show that, in certain parameter regimes, the sum rule is even satisfied on including a small number of Floquet sidebands","work_id":"3fcd9d5a-64ca-45e4-81fa-0781a11bd62d","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"We show, again for the strip geometry, that the spatially resolved bond currents (summed over the Floquet sidebands) can be used to compute, in ad- dition to the two-terminal conductance, also the Hal","work_id":"e774a25b-64dc-4354-8243-f107c28d8bbf","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"This result is valid both for the strip and cylindrical geometries","work_id":"96de6d19-a670-466c-b906-755a5f22a03a","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"In the cylindrical geometry and in the weak cou- pling limit, we provide a microscopic interpretation of the Floquet sum rule and an analytic proof of the Hall conductance quantization. We show that s","work_id":"71e5d954-9909-4058-bf9a-7cdd0e2ceb3b","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Floquet sum rules","work_id":"7a02eab6-40e6-418e-a012-6cfaf573aa10","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":69,"snapshot_sha256":"f646d87bfc77298f1c63c0a9d6acf2b817ab5c1f40ecc267a4135d7ab3d216be","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"}