{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:CYHKWPQ7DG6IHKN5M223HQ52TO","short_pith_number":"pith:CYHKWPQ7","schema_version":"1.0","canonical_sha256":"160eab3e1f19bc83a9bd66b5b3c3ba9baf11f454305fdf8dba93311f430d85ca","source":{"kind":"arxiv","id":"1009.0210","version":2},"attestation_state":"computed","paper":{"title":"Effective models for gapped phases of strongly correlated quantum lattice models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"H-Y.Yang, K.P. Schmidt","submitted_at":"2010-09-01T15:58:57Z","abstract_excerpt":"We present a robust scheme to derive effective models non-perturbatively for quantum lattice models when at least one degree of freedom is gapped. A combination of graph theory and the method of continuous unitary transformations (gCUTs) is shown to efficiently capture all zero-temperature fluctuations in a controlled spatial range. The gCUT can be used either for effective quasi-particle descriptions or for effective low-energy descriptions in case of infinitely degenerate subspaces. We illustrate the method for 1d and 2d lattice models yielding convincing results in the thermodynamic limit. "},"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":"1009.0210","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-01T15:58:57Z","cross_cats_sorted":[],"title_canon_sha256":"7eae0b21907b853af79b11218400cd29c5d75a826256e731074bc964007697ed","abstract_canon_sha256":"bbecbc8d71071634b423008a6e0335c8cb59e3fd36086c854ffe991fad31206b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:07.202169Z","signature_b64":"VC1vi2+vkTIXJhZXXrqWpovg9CahLEPGG+oT9uwbCocuDLQl4/WBY2xl1l1owNN2rjuqf+tsJ5ABRT12/ALDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"160eab3e1f19bc83a9bd66b5b3c3ba9baf11f454305fdf8dba93311f430d85ca","last_reissued_at":"2026-05-18T04:24:07.201698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:07.201698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective models for gapped phases of strongly correlated quantum lattice models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"H-Y.Yang, K.P. Schmidt","submitted_at":"2010-09-01T15:58:57Z","abstract_excerpt":"We present a robust scheme to derive effective models non-perturbatively for quantum lattice models when at least one degree of freedom is gapped. A combination of graph theory and the method of continuous unitary transformations (gCUTs) is shown to efficiently capture all zero-temperature fluctuations in a controlled spatial range. The gCUT can be used either for effective quasi-particle descriptions or for effective low-energy descriptions in case of infinitely degenerate subspaces. We illustrate the method for 1d and 2d lattice models yielding convincing results in the thermodynamic limit. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0210","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":""},"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":"1009.0210","created_at":"2026-05-18T04:24:07.201773+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.0210v2","created_at":"2026-05-18T04:24:07.201773+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0210","created_at":"2026-05-18T04:24:07.201773+00:00"},{"alias_kind":"pith_short_12","alias_value":"CYHKWPQ7DG6I","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"CYHKWPQ7DG6IHKN5","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"CYHKWPQ7","created_at":"2026-05-18T12:26:06.534383+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/CYHKWPQ7DG6IHKN5M223HQ52TO","json":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO.json","graph_json":"https://pith.science/api/pith-number/CYHKWPQ7DG6IHKN5M223HQ52TO/graph.json","events_json":"https://pith.science/api/pith-number/CYHKWPQ7DG6IHKN5M223HQ52TO/events.json","paper":"https://pith.science/paper/CYHKWPQ7"},"agent_actions":{"view_html":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO","download_json":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO.json","view_paper":"https://pith.science/paper/CYHKWPQ7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.0210&json=true","fetch_graph":"https://pith.science/api/pith-number/CYHKWPQ7DG6IHKN5M223HQ52TO/graph.json","fetch_events":"https://pith.science/api/pith-number/CYHKWPQ7DG6IHKN5M223HQ52TO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO/action/storage_attestation","attest_author":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO/action/author_attestation","sign_citation":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO/action/citation_signature","submit_replication":"https://pith.science/pith/CYHKWPQ7DG6IHKN5M223HQ52TO/action/replication_record"}},"created_at":"2026-05-18T04:24:07.201773+00:00","updated_at":"2026-05-18T04:24:07.201773+00:00"}