{"paper":{"title":"Reentrant behavior and possible $2/3$ magnetization plateau on the double-trillium langbeinite K$_2$Ni$_2$(SO$_4$)$_3$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"K2Ni2(SO4)3 shows a reentrant 2/3 magnetization plateau from a 1/3 state on the strong trillium lattice plus full polarization on the weak one.","cross_cats":["cond-mat.mtrl-sci"],"primary_cat":"cond-mat.str-el","authors_text":"Ivica \\v{Z}ivkovi\\'c, Johannes Reuther, Mat\\'ias G. Gonzalez, Yurii Skourski","submitted_at":"2026-05-13T09:45:27Z","abstract_excerpt":"K$_2$Ni$_2$(SO$_4$)$_3$ is a member of the langbeinite family, consisting of two intertwined $S=1$ trillium lattices, out of which one is strongly coupled (strong-TL) and the other is weakly coupled (weak-TL). Further inter-trillium interactions give rise to a highly-frustrated Heisenberg Hamiltonian. Despite ordering at low temperatures, K$_2$Ni$_2$(SO$_4$)$_3$ lies close in parameter space to a spin-liquid region that surrounds the tetratrillium limit, where each triangle belonging to strong-TL turns into a tetrahedron by connecting to a single spin from weak-TL. Here, we compare the experim"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"we reveal a signature of a 2/3 magnetization plateau consisting of a 1/3 phase on strong-TL and a fully polarized phase on weak-TL. Although in the classical limit no plateau is expected, we find a very prominent dome structure reflecting the tendency of the system to stabilize this particular spin configuration.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the observed magnetization feature corresponds to the proposed 1/3-plus-full polarization state and that classical Monte Carlo sufficiently captures the relevant physics for an S=1 quantum system near a spin-liquid regime.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"K2Ni2(SO4)3 exhibits reentrant behavior and a possible 2/3 magnetization plateau arising from a 1/3 state on the strong trillium lattice and full polarization on the weak lattice, as indicated by high-field data and classical simulations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"K2Ni2(SO4)3 shows a reentrant 2/3 magnetization plateau from a 1/3 state on the strong trillium lattice plus full polarization on the weak one.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b21b25a753bcd65d25d5cfbb77d8a3e201c12f0ad6516afc188941a414da2584"},"source":{"id":"2605.13263","kind":"arxiv","version":1},"verdict":{"id":"204e5a0a-6026-4153-ba25-79bc96a63d60","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:22:53.277610Z","strongest_claim":"we reveal a signature of a 2/3 magnetization plateau consisting of a 1/3 phase on strong-TL and a fully polarized phase on weak-TL. Although in the classical limit no plateau is expected, we find a very prominent dome structure reflecting the tendency of the system to stabilize this particular spin configuration.","one_line_summary":"K2Ni2(SO4)3 exhibits reentrant behavior and a possible 2/3 magnetization plateau arising from a 1/3 state on the strong trillium lattice and full polarization on the weak lattice, as indicated by high-field data and classical simulations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the observed magnetization feature corresponds to the proposed 1/3-plus-full polarization state and that classical Monte Carlo sufficiently captures the relevant physics for an S=1 quantum system near a spin-liquid regime.","pith_extraction_headline":"K2Ni2(SO4)3 shows a reentrant 2/3 magnetization plateau from a 1/3 state on the strong trillium lattice plus full polarization on the weak one."},"references":{"count":34,"sample":[{"doi":"","year":null,"title":"We see in Fig. 2 that the cMC calculations agree quite well with the experimental results, even though there are 4 0 50 100 150 200M (a.u.) K2Ni2(SO4)3 T = 1.50 K T = 0.80 K T = 0.57 K 0 5 10 15 20 25","work_id":"fba44bdb-da96-4c9c-98b0-26fd71da2eb2","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"S. Chillal, Y. Iqbal, H. O. Jeschke, J. A. Rodriguez- Rivera, R. Bewley, P. Manuel, D. Khalyavin, P. Steffens, R. Thomale, A. T. M. N. Islam, J. Reuther, and B. Lake, Evidence for a three-dimensional ","work_id":"6169b103-87e8-46a3-82db-fc72b9663033","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2021,"title":"L. E. Chern and Y. B. Kim, Theoretical study of quan- tum spin liquids inS= 1 2 hyper-hyperkagome magnets: Classification, heat capacity, and dynamical spin struc- ture factor, Phys. Rev. B104, 094413","work_id":"bf262c1f-68a8-4825-8334-7e8f820cfcf4","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"A. Fancelli, J. Reuther, and B. Lake, Classical spin models of the windmill lattice and their relevance for PbCuTe2O6, Phys. Rev. B108, 184415 (2023)","work_id":"2bbde532-eaf6-4940-97b8-6b1def4955fb","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2022,"title":"D. Ranaut, S. S. Shastri, S. K. Pandey, and K. Mukher- jee, Possible realization of three-dimensional quantum spin liquid behavior in HoVO4, Journal of Physics: Con- densed Matter34, 485803 (2022)","work_id":"a70e5836-470d-4a62-91b9-91058af5daaa","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":34,"snapshot_sha256":"f3cb37fd439a6a1926996ffc63c7c7d004fe3a3c611136e79dd5a0d9fe07cf8c","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"}