Majorana-assisted nonlocal spin correlation in quasi-one-dimensional Kitaev spin liquids
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arXiv
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| Format: | Preprint |
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2026
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| author | Yamazaki, Yuki Kobayashi, Shingo Furusaki, Akira |
| author_facet | Yamazaki, Yuki Kobayashi, Shingo Furusaki, Akira |
| contents | We propose Majorana-assisted nonlocal spin correlation as a manifestation of Majorana nonlocality in quasi-one-dimensional (1D) Kitaev spin liquids. Focusing on the flux-free sector of the Kitaev honeycomb model in a quasi-1D geometry, we uncover its topological nature and show that it hosts Majorana zero modes localized at both ends, which are stabilized by finite-size-induced topology. We further show that the nonlocal Majorana fermion parity operator, $P_{\text{MF}}=iγ_{\text{L}}γ_{\text{R}}$, is mapped to a nonlocal spin-string operator, producing an end-to-end spin correlation proportional to the product of $P_{\text{MF}}$ and total fermion parity operators when local perturbations remove redundant ground-state degeneracies while preserving the Majorana and total fermion parities in the flux-free sector. Numerical calculations confirm a finite nonlocal spin correlation generated by these Majorana zero modes without any local magnetization. Our results establish a concrete signature of intrinsic Majorana nonlocality in quantum spin liquids. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_25647 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Majorana-assisted nonlocal spin correlation in quasi-one-dimensional Kitaev spin liquids Yamazaki, Yuki Kobayashi, Shingo Furusaki, Akira Strongly Correlated Electrons We propose Majorana-assisted nonlocal spin correlation as a manifestation of Majorana nonlocality in quasi-one-dimensional (1D) Kitaev spin liquids. Focusing on the flux-free sector of the Kitaev honeycomb model in a quasi-1D geometry, we uncover its topological nature and show that it hosts Majorana zero modes localized at both ends, which are stabilized by finite-size-induced topology. We further show that the nonlocal Majorana fermion parity operator, $P_{\text{MF}}=iγ_{\text{L}}γ_{\text{R}}$, is mapped to a nonlocal spin-string operator, producing an end-to-end spin correlation proportional to the product of $P_{\text{MF}}$ and total fermion parity operators when local perturbations remove redundant ground-state degeneracies while preserving the Majorana and total fermion parities in the flux-free sector. Numerical calculations confirm a finite nonlocal spin correlation generated by these Majorana zero modes without any local magnetization. Our results establish a concrete signature of intrinsic Majorana nonlocality in quantum spin liquids. |
| title | Majorana-assisted nonlocal spin correlation in quasi-one-dimensional Kitaev spin liquids |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2603.25647 |