{"paper":{"title":"Renormalization group analysis for bosonization coefficients in half-odd-integer Kitaev spin chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Renormalization group analysis shows symmetry-breaking effects in bosonization formulas for half-odd-integer Kitaev spin chains scale as 1/S in the large-S limit.","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Chao Xu, Jianxun Li, Wang Yang","submitted_at":"2026-05-05T09:52:27Z","abstract_excerpt":"Based on a renormalization group (RG) analysis, we study the bosonization formulas in spin-$S$ Kitaev-Gamma and Kitaev-Heisenberg-Gamma chains in the $(K<0,\\Gamma>0,J>0)$ parameter region, where $S$ is a half-odd integer. We find that the effects associated with the breaking of emergent continuous symmetries in bosonization formulas scale as $1/S$ in the large-$S$ limit, which is in qualitative agreement with DMRG numerical results for Kitaev-Gamma chains. In Kitaev-Heisenberg-Gamma chains, symmetry analysis reveals ten independent bosonization coefficients, five of which are predicted by the "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the effects associated with the breaking of emergent continuous symmetries in bosonization formulas scale as 1/S in the large-S limit, which is in qualitative agreement with DMRG numerical results for Kitaev-Gamma chains. In Kitaev-Heisenberg-Gamma chains, symmetry analysis reveals ten independent bosonization coefficients, five of which are predicted by the RG analysis to have no dependence on the Heisenberg coupling up to linear order.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The renormalization group analysis accurately captures the leading effects of emergent symmetry breaking in the bosonized theory for the chosen parameter region (K < 0, Gamma > 0, J > 0) and half-odd-integer S without higher-order corrections dominating.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"RG analysis finds that symmetry-breaking effects in bosonization coefficients scale as 1/S for large half-odd-integer S and identifies five coefficients independent of Heisenberg coupling to linear order.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Renormalization group analysis shows symmetry-breaking effects in bosonization formulas for half-odd-integer Kitaev spin chains scale as 1/S in the large-S limit.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"db75537b2a4faef9507ac20939cfd0f136a4e9beba8a809fb8f0ed12130cef6c"},"source":{"id":"2605.03582","kind":"arxiv","version":2},"verdict":{"id":"1529788e-5e1e-4431-aec1-f8e98f3208dd","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T13:39:56.269779Z","strongest_claim":"the effects associated with the breaking of emergent continuous symmetries in bosonization formulas scale as 1/S in the large-S limit, which is in qualitative agreement with DMRG numerical results for Kitaev-Gamma chains. In Kitaev-Heisenberg-Gamma chains, symmetry analysis reveals ten independent bosonization coefficients, five of which are predicted by the RG analysis to have no dependence on the Heisenberg coupling up to linear order.","one_line_summary":"RG analysis finds that symmetry-breaking effects in bosonization coefficients scale as 1/S for large half-odd-integer S and identifies five coefficients independent of Heisenberg coupling to linear order.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The renormalization group analysis accurately captures the leading effects of emergent symmetry breaking in the bosonized theory for the chosen parameter region (K < 0, Gamma > 0, J > 0) and half-odd-integer S without higher-order corrections dominating.","pith_extraction_headline":"Renormalization group analysis shows symmetry-breaking effects in bosonization formulas for half-odd-integer Kitaev spin chains scale as 1/S in the large-S limit."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.03582/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-20T01:01:21.126141Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T15:12:51.373759Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"20caec1e1d398820ef1c4ad4d58d329d5fc81362ceacdc7733b4c04362466e59"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","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"}