Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912463541239808 |
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| author | Yang, Wang Xu, Chao Ma, Shicheng Nocera, Alberto Affleck, Ian |
| author_facet | Yang, Wang Xu, Chao Ma, Shicheng Nocera, Alberto Affleck, Ian |
| contents | In this work, we perform a combination of analytical and numerical studies on the phase diagram of the spin-1/2 Kitaev-Heisenberg chain in the region of negative Kitaev and positive Heisenberg couplings. Apart from the antiferromagnetic phase, we find a magnetically ordered phase with left-left-right-right order and a gapless phase with central charge value $c=1$, resolving the existing contradictory results in literature regarding this parameter region. In particular, the origin of the left-left-right-right order is clarified based on a perturbative Luttinger liquid analysis. The left-left-right-right phase is further shown to persist in the Kitaev-Heisenberg-Gamma model when a small nonzero Gamma interaction is introduced. Using a coupled-chain method, we also demonstrate that the one-dimensional (1D) left-left-right-right order gives a quasi-1D explanation for the 2D stripy order of the same model on the honeycomb lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain Yang, Wang Xu, Chao Ma, Shicheng Nocera, Alberto Affleck, Ian Strongly Correlated Electrons In this work, we perform a combination of analytical and numerical studies on the phase diagram of the spin-1/2 Kitaev-Heisenberg chain in the region of negative Kitaev and positive Heisenberg couplings. Apart from the antiferromagnetic phase, we find a magnetically ordered phase with left-left-right-right order and a gapless phase with central charge value $c=1$, resolving the existing contradictory results in literature regarding this parameter region. In particular, the origin of the left-left-right-right order is clarified based on a perturbative Luttinger liquid analysis. The left-left-right-right phase is further shown to persist in the Kitaev-Heisenberg-Gamma model when a small nonzero Gamma interaction is introduced. Using a coupled-chain method, we also demonstrate that the one-dimensional (1D) left-left-right-right order gives a quasi-1D explanation for the 2D stripy order of the same model on the honeycomb lattice. |
| title | Left-left-right-right magnetic order in spin-1/2 Kitaev-Heisenberg chain |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2408.07968 |