{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"622b3524b9482c44a95434f89494e0c8313cd64d4e0f7b740a9da626ec6bf0ef","created":"2026-10-03T07:18:01Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"31315859c071f7a0ccbe95195389078e73b402c1bb74e2c8299625acf79dc7ff","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.triangular-kagome-spin-liquids.triangular-j1j2-phase","kind":"well-posed","literature_status":"contested","n":"1","parents":[],"plain":"Adding a weak second-neighbor coupling to the triangular-lattice Heisenberg model destroys its 120-degree magnetic order and produces a nonmagnetic phase. Whether this phase is a gapless Dirac spin liquid, a gapped spin liquid or a chiral state is unsettled.","posed_since":"","precise":"Model: H = J1 sum_<ij> S_i . S_j + J2 sum_<<ij>> S_i . S_j, $S = 1/2$, triangular lattice, roughly $0.07 < J2/J1 < 0.15$. Determine the phase ($U(1)$ Dirac spin liquid, $Z2$ spin liquid, chiral spin liquid or valence-bond order) and its boundaries. An answer gives the classification with spin and singlet gaps extrapolated to infinite size.","problem_ref":null,"references":"","settled_by":"Agreement of several unbiased methods (DMRG with flux insertion, PEPS, neural-network states) on extrapolated gaps and on the monopole and spinon spectrum.","status_note":"DMRG with flux insertion (Hu et al., PRL 2019) supports a Dirac spin liquid; other variational and tensor-network studies report gapped or ordered states.","title":"Nature of the spin liquid in the triangular $J1-J2$ Heisenberg model","topic_ref":"677def6cee2b4310dbf7fc819c31e2f8a08fa4d8676c34fd7ceecf8b863d1df4"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"a7e7d0f98ac69ffdc3de79388b11c41d8da925ce392b5b76c1838a453df0de18","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"fbd9cb211d9efc5599953810ce982862dabb783383485884ef4c6ce22fd822cc","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"OefVMpqsWaLdGoCNPysZUaELk7FD6mFk-thQPnVaDZyny6O3LKr7Ys4Un4lY--2RwK4Qage3fIEXqatD-QPJCQ"},"schema":"pubphys.envelope/1"},"record_hash":"a7e7d0f98ac69ffdc3de79388b11c41d8da925ce392b5b76c1838a453df0de18","leaf_index":1199}