Chiral Gapless Spin Liquid in Hyperbolic Space
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911028664598528 |
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| author | Dusel, Felix Hofmann, Tobias Maity, Atanu Mosseri, Rémy Vidal, Julien Iqbal, Yasir Greiter, Martin Thomale, Ronny |
| author_facet | Dusel, Felix Hofmann, Tobias Maity, Atanu Mosseri, Rémy Vidal, Julien Iqbal, Yasir Greiter, Martin Thomale, Ronny |
| contents | We analyze the Kitaev model on the $\{9,3\}$ hyperbolic lattice. The $\{9,3\}$ is formed by a regular tricoordinated tiling of nonagons, where the 3-color coding of bonds according to the inequivalent Kitaev Ising spin couplings yields the natural generalization of the original Kitaev model for Euclidean regular honeycomb tiling. Upon investigation of the bulk spectrum for large finite size droplets, we identify a gapless chiral $\mathbb{Z}_2$ spin liquid state featuring spontaneous time reversal symmetry breaking. Due to its non-commutative translation group structure, such type of hyperbolic spin liquid is conjectured to feature chiral quasiparticles with a potentially non-Abelian Bloch profile. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15705 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chiral Gapless Spin Liquid in Hyperbolic Space Dusel, Felix Hofmann, Tobias Maity, Atanu Mosseri, Rémy Vidal, Julien Iqbal, Yasir Greiter, Martin Thomale, Ronny Strongly Correlated Electrons We analyze the Kitaev model on the $\{9,3\}$ hyperbolic lattice. The $\{9,3\}$ is formed by a regular tricoordinated tiling of nonagons, where the 3-color coding of bonds according to the inequivalent Kitaev Ising spin couplings yields the natural generalization of the original Kitaev model for Euclidean regular honeycomb tiling. Upon investigation of the bulk spectrum for large finite size droplets, we identify a gapless chiral $\mathbb{Z}_2$ spin liquid state featuring spontaneous time reversal symmetry breaking. Due to its non-commutative translation group structure, such type of hyperbolic spin liquid is conjectured to feature chiral quasiparticles with a potentially non-Abelian Bloch profile. |
| title | Chiral Gapless Spin Liquid in Hyperbolic Space |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2407.15705 |