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We find that the superfluid phase, existing in the regime of small ring exchange, undergoes a direct transition to a Z_2 quantum spin liquid phase at (K/J)_c ~ 22, which is related to the phase proposed by Balents, Girvin and Fisher [Phys. Rev. B, 65 224412 (2002)]. The quantum phase transition between the superfluid and the spin liquid phase has exponents z and \\nu falling in the 3D XY universality class, making"},"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":"1106.0761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-06-03T20:26:18Z","cross_cats_sorted":[],"title_canon_sha256":"0c9a81b7e505730b470533e69cea7a08913b66e477df7dcf876d15ee2314f239","abstract_canon_sha256":"273efcea7618ed80d186f29b5dd1937334c75e3003d2e99e0c5430dbf7d94ba2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:44.196484Z","signature_b64":"Vjwo7WBSWKUhSdTAgrW/Kh3N5ISQ5om60pa3hJ1VgkbnwX+ikuX5tG2Ij0lX0XKuOhISgM9mYU8vdrOsM6HhCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da95facd715fb93d29b883ff310eec0d2fbe04ff2fa276c30aaf08ce3fe14b56","last_reissued_at":"2026-05-18T02:21:44.196082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:44.196082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum spin liquid in a kagome lattice spin-1/2 XY model with four-site exchange","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Long Dang, Roger G. 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