{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:QVRADE4ONWSH62AJAXO6VE7EID","short_pith_number":"pith:QVRADE4O","schema_version":"1.0","canonical_sha256":"856201938e6da47f680905ddea93e440d9623b064bb08fd27eb5596d5201af40","source":{"kind":"arxiv","id":"2105.01872","version":1},"attestation_state":"computed","paper":{"title":"$d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\\kappa$-(BEDT-TTF)$_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Hiroshi Kontani, Masahisa Tsuchiizu, Rina Tazai, Youichi Yamakawa","submitted_at":"2021-05-05T05:23:31Z","abstract_excerpt":"Unconventional symmetry breaking without spin order,such as the rotational symmetry breaking (=nematic or smectic) orders as well as the spontaneous loop-current orders, have been recently reported in cuprate superconductors and their related materials.They are theoretically represented by non-$A_{1g}$ symmetry breaking in self-energy, which we call the form factor $f_{k,q}$.In this paper, we analyze typical Hubbard models by applying the renormalization-group (RG) method, and find that various unconventional ordering emerges due to the quantum interference among spin fluctuations. Due to this"},"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":"2105.01872","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-05-05T05:23:31Z","cross_cats_sorted":[],"title_canon_sha256":"029910c90482500c91a13d7f52247ffd4ae9b8d041ccdd69b8a01389e731b4fb","abstract_canon_sha256":"4f60867eb3b15180a8c5a4d38fda36dc3e7c00c1d940d4f34579791ea78d7682"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:12:04.110152Z","signature_b64":"AkmYmMVPnFbCK2Gm5opnZn334NK9OV6uuTG0tvOkdtb8WdPIWFeYu+o28GrZ/7XRl6CSsMhNUYfiR3Q4kFyUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"856201938e6da47f680905ddea93e440d9623b064bb08fd27eb5596d5201af40","last_reissued_at":"2026-07-05T03:12:04.109738Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:12:04.109738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\\kappa$-(BEDT-TTF)$_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Hiroshi Kontani, Masahisa Tsuchiizu, Rina Tazai, Youichi Yamakawa","submitted_at":"2021-05-05T05:23:31Z","abstract_excerpt":"Unconventional symmetry breaking without spin order,such as the rotational symmetry breaking (=nematic or smectic) orders as well as the spontaneous loop-current orders, have been recently reported in cuprate superconductors and their related materials.They are theoretically represented by non-$A_{1g}$ symmetry breaking in self-energy, which we call the form factor $f_{k,q}$.In this paper, we analyze typical Hubbard models by applying the renormalization-group (RG) method, and find that various unconventional ordering emerges due to the quantum interference among spin fluctuations. Due to this"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.01872","kind":"arxiv","version":1},"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/2105.01872/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":"2105.01872","created_at":"2026-07-05T03:12:04.109794+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.01872v1","created_at":"2026-07-05T03:12:04.109794+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.01872","created_at":"2026-07-05T03:12:04.109794+00:00"},{"alias_kind":"pith_short_12","alias_value":"QVRADE4ONWSH","created_at":"2026-07-05T03:12:04.109794+00:00"},{"alias_kind":"pith_short_16","alias_value":"QVRADE4ONWSH62AJ","created_at":"2026-07-05T03:12:04.109794+00:00"},{"alias_kind":"pith_short_8","alias_value":"QVRADE4O","created_at":"2026-07-05T03:12:04.109794+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/QVRADE4ONWSH62AJAXO6VE7EID","json":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID.json","graph_json":"https://pith.science/api/pith-number/QVRADE4ONWSH62AJAXO6VE7EID/graph.json","events_json":"https://pith.science/api/pith-number/QVRADE4ONWSH62AJAXO6VE7EID/events.json","paper":"https://pith.science/paper/QVRADE4O"},"agent_actions":{"view_html":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID","download_json":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID.json","view_paper":"https://pith.science/paper/QVRADE4O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.01872&json=true","fetch_graph":"https://pith.science/api/pith-number/QVRADE4ONWSH62AJAXO6VE7EID/graph.json","fetch_events":"https://pith.science/api/pith-number/QVRADE4ONWSH62AJAXO6VE7EID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID/action/storage_attestation","attest_author":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID/action/author_attestation","sign_citation":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID/action/citation_signature","submit_replication":"https://pith.science/pith/QVRADE4ONWSH62AJAXO6VE7EID/action/replication_record"}},"created_at":"2026-07-05T03:12:04.109794+00:00","updated_at":"2026-07-05T03:12:04.109794+00:00"}