{"paper":{"title":"Emergent Pair Density Wave Order Across a Lifshitz Transition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"In the Kondo-Heisenberg chain, pair-density-wave order emerges across a Lifshitz transition and produces a dispersion with two minima and four Fermi points.","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Adrian E. Feiguin, Elbio Dagotto, Luhang Yang","submitted_at":"2025-03-25T15:26:37Z","abstract_excerpt":"We numerically investigate the telltale signs of pair-density-wave order (PDW) in the Kondo-Heisenberg chain by focusing on the momentum resolved spectrum in different parameter regimes. Density matrix renormalization group calculations reveal that this phase is characterized by a dispersion with two minima and four Fermi points, indicating the emergence of an effective next-nearest-neighbor hopping that arises as a second-order effect to avoid magnetic frustration. The pairs appear in the spectrum as in-gap bound states with weight concentrated in the hole pockets. The low-energy physics can "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The PDW phase is characterized by a dispersion with two minima and four Fermi points, indicating the emergence of an effective next-nearest-neighbor hopping that arises as a second-order effect to avoid magnetic frustration. The pairs appear in the spectrum as in-gap bound states with weight concentrated in the hole pockets.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The observed in-gap bound states and the four-Fermi-point dispersion are interpreted as direct signatures of PDW order rather than other competing orders or finite-size artifacts; this interpretation is taken to justify the mapping onto a generalized t-J model.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"DMRG calculations on the Kondo-Heisenberg chain show PDW order emerging across a Lifshitz transition via effective next-nearest-neighbor hopping and in-gap bound states.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"In the Kondo-Heisenberg chain, pair-density-wave order emerges across a Lifshitz transition and produces a dispersion with two minima and four Fermi points.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b5e559f9786d3ab212fc66c681b580a4e8423a2ce5c524ee80348d2b74d15dad"},"source":{"id":"2503.19761","kind":"arxiv","version":4},"verdict":{"id":"64e66376-118f-4c77-bb96-7723d96ad347","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-22T22:29:06.043880Z","strongest_claim":"The PDW phase is characterized by a dispersion with two minima and four Fermi points, indicating the emergence of an effective next-nearest-neighbor hopping that arises as a second-order effect to avoid magnetic frustration. The pairs appear in the spectrum as in-gap bound states with weight concentrated in the hole pockets.","one_line_summary":"DMRG calculations on the Kondo-Heisenberg chain show PDW order emerging across a Lifshitz transition via effective next-nearest-neighbor hopping and in-gap bound states.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The observed in-gap bound states and the four-Fermi-point dispersion are interpreted as direct signatures of PDW order rather than other competing orders or finite-size artifacts; this interpretation is taken to justify the mapping onto a generalized t-J model.","pith_extraction_headline":"In the Kondo-Heisenberg chain, pair-density-wave order emerges across a Lifshitz transition and produces a dispersion with two minima and four Fermi points."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2503.19761/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":"14518b1918b456ac7fcbd2bb687332f0022862f423ef9c9d2ea61f3a77637776"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}