Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929732152459264 |
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| author | Mosseri, Rémy Iqbal, Yasir Vogeler, Roger Vidal, Julien |
| author_facet | Mosseri, Rémy Iqbal, Yasir Vogeler, Roger Vidal, Julien |
| contents | We study the Kitaev model on the trivalent heptagonal Hurwitz hyperbolic tiling. The presence of odd-length loops in the tiling is responsible for a spontaneous time-reversal symmetry breaking. Interestingly, at the isotropic point, the two degenerate ground states (Kramers pair) are shown to be gapped chiral spin liquids and the elementary excitations are non-Abelian Ising anyons. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_03944 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid Mosseri, Rémy Iqbal, Yasir Vogeler, Roger Vidal, Julien Strongly Correlated Electrons We study the Kitaev model on the trivalent heptagonal Hurwitz hyperbolic tiling. The presence of odd-length loops in the tiling is responsible for a spontaneous time-reversal symmetry breaking. Interestingly, at the isotropic point, the two degenerate ground states (Kramers pair) are shown to be gapped chiral spin liquids and the elementary excitations are non-Abelian Ising anyons. |
| title | Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2411.03944 |