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We obtain values for the transition points to the magnetically disordered quantum paramagnetic phase of J_2^{c1}=0.454J_1 and J_2^{c2}= 0.588 J_1. The spin gap is zero in the entire parameter region accessible by our approach, i.e. for J_2 \\le 0.49J_1 and J_2 > 0.58J_1. This finding is in favor of a gapless spin-liquid ground state in this parameter regime."},"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":"1409.0193","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-08-31T08:19:12Z","cross_cats_sorted":[],"title_canon_sha256":"6cb0f7ebcb8914ee3262d96d450d5a2949c69d80663e4e13882b8699d7a9a772","abstract_canon_sha256":"f770cda069190a6212d4056544cd1f7d234a372d9933d75227c086de86276fcf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:23.358545Z","signature_b64":"BJTaCX/FqJdMx8Wez8tLE4omV6f2WTW4AaCzUKAXOGx3UXul7hIqfE3rUNCEXxXfMvS6Vkz9HHTjCeT8X/DCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd9da7e266dd29a3bb0a597ad4b788b537b98451cd316c5f06e9a048e3af5628","last_reissued_at":"2026-05-18T02:29:23.358060Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:23.358060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The spin-1/2 square-lattice J_1-J_2 model: The spin-gap issue","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D.J.J. Farnell, J. Richter, R. Zinke","submitted_at":"2014-08-31T08:19:12Z","abstract_excerpt":"We use the coupled cluster method to high orders of approximation in order to calculate the ground-state energy, the ground-state magnetic order parameter, and the spin gap of the spin-1/2 J_1-J_2 model on the square lattice. We obtain values for the transition points to the magnetically disordered quantum paramagnetic phase of J_2^{c1}=0.454J_1 and J_2^{c2}= 0.588 J_1. The spin gap is zero in the entire parameter region accessible by our approach, i.e. for J_2 \\le 0.49J_1 and J_2 > 0.58J_1. 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