{"paper":{"title":"Ground-State Phase Diagram of (1/2,1/2,1) Mixed Diamond Chains with Single-Site Anisotropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Anisotropy inversion stabilizes Ising-like Néel order for easy-plane D>0 and XY-like liquid for easy-axis D<0 in (1/2,1/2,1) diamond chains.","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Kazuo Hida","submitted_at":"2026-01-28T07:47:04Z","abstract_excerpt":"The ground-state phases of mixed diamond chains with ($S, \\tau^{(1)}, \\tau^{(2)})=(1/2,1/2,1)$, where $S$ is the magnitude of vertex spins, and $\\tau^{(1)}$ and $\\tau^{(2)}$ are those of apical spins, are investigated with the single-site anisotropy $D$ on the $\\tau^{(2)}$-site. The two apical spins in each unit cell are coupled by an exchange coupling $\\lambda$. The vertex spins are coupled with the top and bottom apical spins by exchange couplings $1+\\delta$ and $1-\\delta$, respectively. The ground-state phase diagram is determined using the numerical exact diagonalization and DMRG method in"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"A region with anisotropy inversion is found where the Ising-like Néel phase is realized for the easy-plane anisotropy D >0 and the XY-like Tomonaga-Luttinger liquid phase is realized for the easy-axis anisotropy D <0 on the S=1 sites.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That finite-size exact diagonalization and DMRG calculations, together with limiting-case approximations, faithfully capture the infinite-chain thermodynamic limit without uncontrolled finite-size or truncation errors.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Numerical study of (1/2,1/2,1) mixed diamond chains reveals Néel, Tomonaga-Luttinger liquid, and ferrimagnetic phases plus an anisotropy inversion where easy-plane D>0 yields Ising Néel order while easy-axis D<0 yields XY-like liquid.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Anisotropy inversion stabilizes Ising-like Néel order for easy-plane D>0 and XY-like liquid for easy-axis D<0 in (1/2,1/2,1) diamond chains.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"eebf7e0e7a0e6feb7e69bbcac9195c18c42e056dfd5e21bbdd1931a112f4215e"},"source":{"id":"2601.20328","kind":"arxiv","version":3},"verdict":{"id":"32afab1c-d057-49bb-b941-8948a5576db6","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T10:29:11.276779Z","strongest_claim":"A region with anisotropy inversion is found where the Ising-like Néel phase is realized for the easy-plane anisotropy D >0 and the XY-like Tomonaga-Luttinger liquid phase is realized for the easy-axis anisotropy D <0 on the S=1 sites.","one_line_summary":"Numerical study of (1/2,1/2,1) mixed diamond chains reveals Néel, Tomonaga-Luttinger liquid, and ferrimagnetic phases plus an anisotropy inversion where easy-plane D>0 yields Ising Néel order while easy-axis D<0 yields XY-like liquid.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That finite-size exact diagonalization and DMRG calculations, together with limiting-case approximations, faithfully capture the infinite-chain thermodynamic limit without uncontrolled finite-size or truncation errors.","pith_extraction_headline":"Anisotropy inversion stabilizes Ising-like Néel order for easy-plane D>0 and XY-like liquid for easy-axis D<0 in (1/2,1/2,1) diamond chains."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.20328/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}