Hyperbolic Spin Liquids
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908497663229952 |
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| author | Lenggenhager, Patrick M. Dey, Santanu Bzdušek, Tomáš Maciejko, Joseph |
| author_facet | Lenggenhager, Patrick M. Dey, Santanu Bzdušek, Tomáš Maciejko, Joseph |
| contents | Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations, we extend Kitaev's spin-1/2 honeycomb model to hyperbolic lattices and exploit their non-Euclidean space-group symmetries to solve the model exactly. We elucidate the ground-state phase diagram on the $\{8,3\}$ lattice and find a gapped $\mathbb{Z}_2$ spin liquid with Abelian anyons, a gapped chiral spin liquid with non-Abelian anyons and chiral edge states, and a Majorana metal whose finite low-energy density of states is dominated by non-Abelian Bloch states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09601 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyperbolic Spin Liquids Lenggenhager, Patrick M. Dey, Santanu Bzdušek, Tomáš Maciejko, Joseph Strongly Correlated Electrons Mesoscale and Nanoscale Physics Other Condensed Matter Quantum Physics Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations, we extend Kitaev's spin-1/2 honeycomb model to hyperbolic lattices and exploit their non-Euclidean space-group symmetries to solve the model exactly. We elucidate the ground-state phase diagram on the $\{8,3\}$ lattice and find a gapped $\mathbb{Z}_2$ spin liquid with Abelian anyons, a gapped chiral spin liquid with non-Abelian anyons and chiral edge states, and a Majorana metal whose finite low-energy density of states is dominated by non-Abelian Bloch states. |
| title | Hyperbolic Spin Liquids |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Other Condensed Matter Quantum Physics |
| url | https://arxiv.org/abs/2407.09601 |