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We present results for the ground-state energy, magnetic order parameter and plaquette valence-bond crystal (PVBC) susceptibility. We find a paramagnetic PVBC phase for $\\kappa_{c_1}<\\kappa<\\kappa_{c_2}$, where $\\kappa_{c_1} \\approx 0.207 \\pm 0.003$ and $\\kappa_{c_2} \\approx 0.385 \\pm 0.010$. The transition at $\\kappa_{c_1}$ to the N\\'{e}el phase seems to be a continuous deconfined transition ("},"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":"1201.3512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-01-17T13:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"b43fa3ba324c9b2b936f3d9cb0c8bfd6f7bf2947d1b526f232631cbe32a394ac","abstract_canon_sha256":"ceb2a108a7f643aa7186af321df0251137dfe31d90dbbb75aae368d97220eb99"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:46.583990Z","signature_b64":"EdMwhfZQvOH/hhJK+faJOoQhQJOJ4hl5A2adaj5BcXkxKRJzRjYRXfTN53W/DJ4vj0CxuNIdN6e8C5vITj7QDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13e57d41ff5152e2f89cbe617abedb369fe3570bd8175203dc21bfe0e88bd3e7","last_reissued_at":"2026-05-18T03:55:46.583560Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:46.583560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The frustrated Heisenberg antiferromagnet on the honeycomb lattice: $J_{1}$--$J_{2}$ model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"C. E. Campbell, D. J. J. Farnell, P. H. Y. Li, R. F. Bishop","submitted_at":"2012-01-17T13:46:20Z","abstract_excerpt":"We study the ground-state (gs) phase diagram of the frustrated spin-1/2 $J_{1}$--$J_{2}$ antiferromagnet with $J_{2}=\\kappa J_1>0$ ($J_{1}>0$) on the honeycomb lattice, using the coupled-cluster method. We present results for the ground-state energy, magnetic order parameter and plaquette valence-bond crystal (PVBC) susceptibility. We find a paramagnetic PVBC phase for $\\kappa_{c_1}<\\kappa<\\kappa_{c_2}$, where $\\kappa_{c_1} \\approx 0.207 \\pm 0.003$ and $\\kappa_{c_2} \\approx 0.385 \\pm 0.010$. 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