Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916090813087744 |
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| author | Sørensen, Erik S. Kee, Hae-Young |
| author_facet | Sørensen, Erik S. Kee, Hae-Young |
| contents | Finding the Kitaev spin liquid in candidate materials involves understanding the entire phase diagram, including other allowed interactions. One of these interactions, called the Gamma ($Γ$) interaction, causes magnetic frustration and its interplay with the Kitaev ($K$) interaction is crucial to comprehend Kitaev materials. Due to the complexity of the combined $KΓ$ model, quasi-one dimensional models have been investigated. While several disordered phases are found in the 2-leg ladder, the nature of the phases are yet to be determined. Here we focus on the disordered phase near the antiferromagnetic $Γ$ limit (denoted by A$Γ$ phase) next to the ferromagnetic Kitaev phase. We report a distinct non-local string order parameter characterizing the A$Γ$ phase, different from the string order parameter in the Kitaev phase. This string order parameter becomes evident only after two unitary transformation, referred to as a twice hidden string order parameter. The related entanglement spectrum, edge states, magnetic field responses, and the symmetry protecting the phase are presented, and its relevance to the two-dimensional Kitaev materials is discussed. Two newly identified disordered phases in the phase diagram of $KΓ$ ladder is also reported. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_08731 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder Sørensen, Erik S. Kee, Hae-Young Strongly Correlated Electrons Finding the Kitaev spin liquid in candidate materials involves understanding the entire phase diagram, including other allowed interactions. One of these interactions, called the Gamma ($Γ$) interaction, causes magnetic frustration and its interplay with the Kitaev ($K$) interaction is crucial to comprehend Kitaev materials. Due to the complexity of the combined $KΓ$ model, quasi-one dimensional models have been investigated. While several disordered phases are found in the 2-leg ladder, the nature of the phases are yet to be determined. Here we focus on the disordered phase near the antiferromagnetic $Γ$ limit (denoted by A$Γ$ phase) next to the ferromagnetic Kitaev phase. We report a distinct non-local string order parameter characterizing the A$Γ$ phase, different from the string order parameter in the Kitaev phase. This string order parameter becomes evident only after two unitary transformation, referred to as a twice hidden string order parameter. The related entanglement spectrum, edge states, magnetic field responses, and the symmetry protecting the phase are presented, and its relevance to the two-dimensional Kitaev materials is discussed. Two newly identified disordered phases in the phase diagram of $KΓ$ ladder is also reported. |
| title | Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2307.08731 |