{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:F2Y4NOPQPRQOWLW46VV73VNFCS","short_pith_number":"pith:F2Y4NOPQ","schema_version":"1.0","canonical_sha256":"2eb1c6b9f07c60eb2edcf56bfdd5a51498cb5a8a0db5644e05847ef8ca83a039","source":{"kind":"arxiv","id":"2509.12311","version":2},"attestation_state":"computed","paper":{"title":"Antiferromagnetism and Stripe Channel Order in the $\\mathrm{SU}(N)$-Symmetric Two-Channel Kondo Lattice Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Elyasaf Y. Cohen, Fakher F. Assaad, Snir Gazit","submitted_at":"2025-09-15T18:00:01Z","abstract_excerpt":"We carry out large-scale, sign-problem-free determinant quantum Monte Carlo simulations of the square lattice $\\mathrm{SU}(N)$-symmetric two-channel Kondo lattice model at half-filling. We map out the zero-temperature phase diagram for $N = 2, 4, 6$, and $8$, as a function of the Kondo coupling strength. In the weak-coupling regime, we observe antiferromagnetic order of the localized moments. Remarkably, for $N \\geq 6$, sufficiently strong Kondo coupling induces spontaneous channel symmetry breaking, forming a stripe dimerization pattern with a wave vector $\\boldsymbol{k}=(\\pi,0)$ alternating "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2509.12311","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-09-15T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"7e69c30787eac1faf7b802bde72652b8311feec8b732e331ffb5c131506d3485","abstract_canon_sha256":"04054e9f31ea7d6c306435083752af0a4da69f298c97e18e2c3611f2ddb45801"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2eb1c6b9f07c60eb2edcf56bfdd5a51498cb5a8a0db5644e05847ef8ca83a039","last_reissued_at":"2026-07-30T00:08:10.798342Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T00:08:10.798342Z"},"graph_snapshot":{"paper":{"title":"Antiferromagnetism and Stripe Channel Order in the $\\mathrm{SU}(N)$-Symmetric Two-Channel Kondo Lattice Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Elyasaf Y. Cohen, Fakher F. Assaad, Snir Gazit","submitted_at":"2025-09-15T18:00:01Z","abstract_excerpt":"We carry out large-scale, sign-problem-free determinant quantum Monte Carlo simulations of the square lattice $\\mathrm{SU}(N)$-symmetric two-channel Kondo lattice model at half-filling. We map out the zero-temperature phase diagram for $N = 2, 4, 6$, and $8$, as a function of the Kondo coupling strength. In the weak-coupling regime, we observe antiferromagnetic order of the localized moments. Remarkably, for $N \\geq 6$, sufficiently strong Kondo coupling induces spontaneous channel symmetry breaking, forming a stripe dimerization pattern with a wave vector $\\boldsymbol{k}=(\\pi,0)$ alternating "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.12311","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.12311/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":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2509.12311","created_at":"2026-07-30T00:08:10.801933+00:00"},{"alias_kind":"arxiv_version","alias_value":"2509.12311v2","created_at":"2026-07-30T00:08:10.801933+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.12311","created_at":"2026-07-30T00:08:10.801933+00:00"},{"alias_kind":"pith_short_12","alias_value":"F2Y4NOPQPRQO","created_at":"2026-07-30T00:08:10.801933+00:00"},{"alias_kind":"pith_short_16","alias_value":"F2Y4NOPQPRQOWLW4","created_at":"2026-07-30T00:08:10.801933+00:00"},{"alias_kind":"pith_short_8","alias_value":"F2Y4NOPQ","created_at":"2026-07-30T00:08:10.801933+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS","json":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS.json","graph_json":"https://pith.science/api/pith-number/F2Y4NOPQPRQOWLW46VV73VNFCS/graph.json","events_json":"https://pith.science/api/pith-number/F2Y4NOPQPRQOWLW46VV73VNFCS/events.json","paper":"https://pith.science/paper/F2Y4NOPQ"},"agent_actions":{"view_html":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS","download_json":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS.json","view_paper":"https://pith.science/paper/F2Y4NOPQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2509.12311&json=true","fetch_graph":"https://pith.science/api/pith-number/F2Y4NOPQPRQOWLW46VV73VNFCS/graph.json","fetch_events":"https://pith.science/api/pith-number/F2Y4NOPQPRQOWLW46VV73VNFCS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS/action/storage_attestation","attest_author":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS/action/author_attestation","sign_citation":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS/action/citation_signature","submit_replication":"https://pith.science/pith/F2Y4NOPQPRQOWLW46VV73VNFCS/action/replication_record"}},"created_at":"2026-07-30T00:08:10.801933+00:00","updated_at":"2026-07-30T00:08:10.801933+00:00"}