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By treating tensor elements as variational parameters, we obtain the ground states for different J2/J1 values, and investigate the staggered magnetic order parameters, the nearest-neighbor spin-spin correlations and the plaquette order parameters. In addition to the well-known N\\'eel-order and collinear-order at low and high J2/J1, we observe a plaquette order at intermediate J2/J1. A cont"},"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":"1108.3393","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-08-17T04:30:02Z","cross_cats_sorted":[],"title_canon_sha256":"5d33d40962abe24384041ddd05c3d05d60bdc6d2de825e764a48da59de4a2877","abstract_canon_sha256":"41b46c5d618a1551a3f4457439a803a887af0451872357dc987b7b8a0a6cb643"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:54.271000Z","signature_b64":"cR/Cce11qNvCH2czPwSAFVh6gb2H//9glEuJjfsU5rjhPyAOgWBRj3uSp5UbPWawFMfFVcHM9w6J85VnkDHqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a6bcab8a39c5a890e616f9803a9f30a04cfffd8094ef93e49484a2c90ba61af","last_reissued_at":"2026-05-18T00:56:54.270364Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:54.270364Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin-1/2 J1-J2 Heisenberg antiferromagnet on a square lattice: a plaquette renormalized tensor network study","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Ji-Feng Yu, Ying-Jer Kao","submitted_at":"2011-08-17T04:30:02Z","abstract_excerpt":"We apply the plaquette renormalization scheme of tensor network states [Phys. 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