{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:EXXQKEZXVQ7QMT6DIL343Z25JA","short_pith_number":"pith:EXXQKEZX","schema_version":"1.0","canonical_sha256":"25ef051337ac3f064fc342f7cde75d4826a2116b3312f2c976c0073824316c30","source":{"kind":"arxiv","id":"2004.04870","version":1},"attestation_state":"computed","paper":{"title":"Topological Phase Transitions in a Hybridized Three-Dimensional Topological Insulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Feng Liu, Lizhe Liu, Su Kong Chong, Taylor D. Sparks, Vikram V. Deshpande","submitted_at":"2020-04-10T01:17:06Z","abstract_excerpt":"As the thickness of a three-dimensional (3D) topological insulator (TI) becomes comparable to the penetration depth of the surface states, quantum tunneling between surfaces turns their gapless Dirac electronic structure into a gapped surface state. Analytical formulation suggests that the hybridization gap scales exponentially with decrease in number of layers while the system oscillates between topologically trivial and non-trivial insulators. This work explores the transport properties of a 3D TI in the inter-surface hybridization regime. By experimentally probing the hybridization gap as a"},"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":"2004.04870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2020-04-10T01:17:06Z","cross_cats_sorted":[],"title_canon_sha256":"cb637aba527481d6c0ec8bfb54ab60a87cd7d7fd7089a259056269fc6932eb52","abstract_canon_sha256":"7dc88e5c3b1e27caafab4772e3cd2fd534b70cd1347624b6787d7f1a1dc59c8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:54:15.067838Z","signature_b64":"QA1mm3a3/NaeF/HR6IKx8qf08mesZzbaMH+dZB19akEF3ECjacxh/heXes5s86jUFxQQKeEIXlSRJbmYZjGkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25ef051337ac3f064fc342f7cde75d4826a2116b3312f2c976c0073824316c30","last_reissued_at":"2026-07-05T00:54:15.067450Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:54:15.067450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Phase Transitions in a Hybridized Three-Dimensional Topological Insulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Feng Liu, Lizhe Liu, Su Kong Chong, Taylor D. Sparks, Vikram V. Deshpande","submitted_at":"2020-04-10T01:17:06Z","abstract_excerpt":"As the thickness of a three-dimensional (3D) topological insulator (TI) becomes comparable to the penetration depth of the surface states, quantum tunneling between surfaces turns their gapless Dirac electronic structure into a gapped surface state. Analytical formulation suggests that the hybridization gap scales exponentially with decrease in number of layers while the system oscillates between topologically trivial and non-trivial insulators. This work explores the transport properties of a 3D TI in the inter-surface hybridization regime. By experimentally probing the hybridization gap as a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.04870","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/2004.04870/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":"2004.04870","created_at":"2026-07-05T00:54:15.067513+00:00"},{"alias_kind":"arxiv_version","alias_value":"2004.04870v1","created_at":"2026-07-05T00:54:15.067513+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2004.04870","created_at":"2026-07-05T00:54:15.067513+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXXQKEZXVQ7Q","created_at":"2026-07-05T00:54:15.067513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXXQKEZXVQ7QMT6D","created_at":"2026-07-05T00:54:15.067513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXXQKEZX","created_at":"2026-07-05T00:54:15.067513+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/EXXQKEZXVQ7QMT6DIL343Z25JA","json":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA.json","graph_json":"https://pith.science/api/pith-number/EXXQKEZXVQ7QMT6DIL343Z25JA/graph.json","events_json":"https://pith.science/api/pith-number/EXXQKEZXVQ7QMT6DIL343Z25JA/events.json","paper":"https://pith.science/paper/EXXQKEZX"},"agent_actions":{"view_html":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA","download_json":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA.json","view_paper":"https://pith.science/paper/EXXQKEZX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2004.04870&json=true","fetch_graph":"https://pith.science/api/pith-number/EXXQKEZXVQ7QMT6DIL343Z25JA/graph.json","fetch_events":"https://pith.science/api/pith-number/EXXQKEZXVQ7QMT6DIL343Z25JA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA/action/storage_attestation","attest_author":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA/action/author_attestation","sign_citation":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA/action/citation_signature","submit_replication":"https://pith.science/pith/EXXQKEZXVQ7QMT6DIL343Z25JA/action/replication_record"}},"created_at":"2026-07-05T00:54:15.067513+00:00","updated_at":"2026-07-05T00:54:15.067513+00:00"}