Fragile spin liquid in three dimensions
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915335658012672 |
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| author | Fancelli, Anna Flores-Calderón, R. Benton, Owen Lake, Bella Moessner, Roderich Reuther, Johannes |
| author_facet | Fancelli, Anna Flores-Calderón, R. Benton, Owen Lake, Bella Moessner, Roderich Reuther, Johannes |
| contents | Motivated by the recent appearance of the trillium lattice in the search for materials hosting spin liquids, we study the ground state of the classical Heisenberg model on its linegraph, the trilline lattice. We find that this network realises the recently proposed notion of a fragile spin liquid in three dimensions. Additionally, we analyze the Ising case and argue for a possible $\mathbb{Z}_2$ quantum spin liquid phase in the corresponding quantum dimer model. Like the well-known $U(1)$ spin liquids, the classical phase hosts moment fractionalisation evidenced in the diluted lattice, but unlike these, it exhibits exponential decay both in spin correlations and interactions between fractionalised moments. This provides the first instance of a purely short-range correlated classical Heisenberg spin liquid in three dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17720 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fragile spin liquid in three dimensions Fancelli, Anna Flores-Calderón, R. Benton, Owen Lake, Bella Moessner, Roderich Reuther, Johannes Strongly Correlated Electrons Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics Motivated by the recent appearance of the trillium lattice in the search for materials hosting spin liquids, we study the ground state of the classical Heisenberg model on its linegraph, the trilline lattice. We find that this network realises the recently proposed notion of a fragile spin liquid in three dimensions. Additionally, we analyze the Ising case and argue for a possible $\mathbb{Z}_2$ quantum spin liquid phase in the corresponding quantum dimer model. Like the well-known $U(1)$ spin liquids, the classical phase hosts moment fractionalisation evidenced in the diluted lattice, but unlike these, it exhibits exponential decay both in spin correlations and interactions between fractionalised moments. This provides the first instance of a purely short-range correlated classical Heisenberg spin liquid in three dimensions. |
| title | Fragile spin liquid in three dimensions |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2410.17720 |