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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.21129 |
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| _version_ | 1866916923795570688 |
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| author | Chen, Chuan Villadiego, Inti Sodemann |
| author_facet | Chen, Chuan Villadiego, Inti Sodemann |
| contents | We investigate the dispersions of anyon quasi-particles in the Kitaev honeycomb spin-liquid perturbed by $Γ$ and $Γ'$ couplings in order to understand phase transitions into competing states through anyon gap-closing instabilities. We demonstrate how anyon gap closings allow to understand phase transitions into a plethora of previously identified competing phases -- including zigzag, stripy, $120^\circ$, and incommensurate spiral phases -- and are in agreement with numerical studies not only on the nature of the phases, but also on the specific critical values of $Γ$ and $Γ'$ couplings. Remarkably, when the anti-ferromagnetic Kitaev model is perturbed by an ferromagnetic $Γ$ interaction, we find that the single-vison and fermion gaps remain open while the gap of a magnon-like local boson vanishes, implying that the resulting state has coexistence of a spontaneous broken symmetry and the fractionalization pattern of the Kitaev spin liquid. The magnetic long-range order could be either a stripy antiferromagnet or an incommensurate spiral, depending on the sign of $Γ'$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21129 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anyon polarons as a window into the competing phases of the Kitaev-Gamma-Gamma' model Chen, Chuan Villadiego, Inti Sodemann Strongly Correlated Electrons We investigate the dispersions of anyon quasi-particles in the Kitaev honeycomb spin-liquid perturbed by $Γ$ and $Γ'$ couplings in order to understand phase transitions into competing states through anyon gap-closing instabilities. We demonstrate how anyon gap closings allow to understand phase transitions into a plethora of previously identified competing phases -- including zigzag, stripy, $120^\circ$, and incommensurate spiral phases -- and are in agreement with numerical studies not only on the nature of the phases, but also on the specific critical values of $Γ$ and $Γ'$ couplings. Remarkably, when the anti-ferromagnetic Kitaev model is perturbed by an ferromagnetic $Γ$ interaction, we find that the single-vison and fermion gaps remain open while the gap of a magnon-like local boson vanishes, implying that the resulting state has coexistence of a spontaneous broken symmetry and the fractionalization pattern of the Kitaev spin liquid. The magnetic long-range order could be either a stripy antiferromagnet or an incommensurate spiral, depending on the sign of $Γ'$. |
| title | Anyon polarons as a window into the competing phases of the Kitaev-Gamma-Gamma' model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2508.21129 |