Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911122008834048 |
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| author | Ansari, Md Zahid Damle, Kedar |
| author_facet | Ansari, Md Zahid Damle, Kedar |
| contents | We study the effect of a small density $n_v$ of quenched non-magnetic impurities, i.e. vacancy disorder, in gapped short-range resonating valence bond (RVB) spin liquid states and valence bond solid (VBS) states of quantum magnets. We argue that a large class of short-range RVB liquids are stable at small $n_v$ on the kagome lattice, while the corresponding states on triangular, square, and honeycomb lattices are unstable at any nonzero $n_v$ due to the presence of emergent vacancy-induced local moments. In contrast, VBS states are argued to be generically unstable (independent of lattice geometry) at nonzero $n_v$ due to such a local-moment instability. Our arguments rely in part on an analysis of the statistical mechanics of maximally-packed dimer covers of the diluted lattice, and are fully supported by our computational results on $O(N)$ symmetric designer Hamiltonians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07026 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids Ansari, Md Zahid Damle, Kedar Strongly Correlated Electrons Disordered Systems and Neural Networks Statistical Mechanics We study the effect of a small density $n_v$ of quenched non-magnetic impurities, i.e. vacancy disorder, in gapped short-range resonating valence bond (RVB) spin liquid states and valence bond solid (VBS) states of quantum magnets. We argue that a large class of short-range RVB liquids are stable at small $n_v$ on the kagome lattice, while the corresponding states on triangular, square, and honeycomb lattices are unstable at any nonzero $n_v$ due to the presence of emergent vacancy-induced local moments. In contrast, VBS states are argued to be generically unstable (independent of lattice geometry) at nonzero $n_v$ due to such a local-moment instability. Our arguments rely in part on an analysis of the statistical mechanics of maximally-packed dimer covers of the diluted lattice, and are fully supported by our computational results on $O(N)$ symmetric designer Hamiltonians. |
| title | Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids |
| topic | Strongly Correlated Electrons Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2401.07026 |