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• W3103175853 abstract "We construct and study quantum trimer models and resonating SU(3)-singlet models on the kagome lattice, which generalize quantum dimer models and the resonating valence bond wave functions to a trimer and SU(3) setting. We demonstrate that these models carry a Z3 symmetry which originates in the structure of trimers and the SU(3) representation theory, and which becomes the only symmetry under renormalization. Based on this, we construct simple and exact parent Hamiltonians for the model which exhibit a topological ninefold degenerate ground space. A combination of analytical reasoning and numerical analysis reveals that the quantum order ultimately displayed by the model depends on the relative weight assigned to different types of trimers—it can display either Z3 topological order or form a symmetry-broken trimer crystal, and in addition possesses a point with an enhanced U(1) symmetry and critical behavior. Our results accordingly hold for the SU(3) model, where the two natural choices for trimer weights give rise to either a topological spin liquid or a system with symmetry-broken order, respectively. Our work thus demonstrates the suitability of resonating trimer and SU(3)-singlet ansatzes to model SU(3) topological spin liquids on the kagome lattice.8 MoreReceived 19 June 2020Revised 13 August 2020Accepted 14 August 2020DOI:https://doi.org/10.1103/PhysRevResearch.2.033382Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasSpin liquidTopological phases of matterPhysical SystemsLattice models in statistical physicsTechniquesProjected entangled pair statesResonating valence bond theoryTensor network methodsQuantum InformationStatistical PhysicsCondensed Matter, Materials & Applied Physics" @default.
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• W3103175853 date "2020-09-10" @default.
• W3103175853 modified "2023-09-27" @default.
• W3103175853 title "Quantum trimer models and topological SU(3) spin liquids on the kagome lattice" @default.
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• W3103175853 doi "https://doi.org/10.1103/physrevresearch.2.033382" @default.
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