Insights into the anisotropic spin-S Kitaev chain
Recently, there has been a renewed interest in properties of the higher-spin Kitaev models, especially their low-dimensional analogs with additional interactions. These quasi-one-dimensional systems exhibit rich phase diagrams with symmetry-protected topological phases, Luttinger liquids, hidden ord...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.013205 |
| _version_ | 1797210766165671936 |
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| author | Jacob S. Gordon Hae-Young Kee |
| author_facet | Jacob S. Gordon Hae-Young Kee |
| author_sort | Jacob S. Gordon |
| collection | DOAJ |
| description | Recently, there has been a renewed interest in properties of the higher-spin Kitaev models, especially their low-dimensional analogs with additional interactions. These quasi-one-dimensional systems exhibit rich phase diagrams with symmetry-protected topological phases, Luttinger liquids, hidden order, and higher-rank magnetism. However, the nature of the pure spin-S Kitaev chains is not yet fully understood. Earlier works found a unique ground state with short-ranged correlations for S=1 and an intriguing double-peak structure in the heat capacity associated with an entropy plateau. To understand the low-energy excitations and thermodynamics for general S, we study the anisotropic spin-S Kitaev chain. Starting from the dimerized limit, we derive an effective low-energy Hamiltonian at finite anisotropy. For half-integer spins we find a trivial effective model, reflecting a nonlocal symmetry protecting the degeneracy, while for integer S we find interactions among the flux degrees of freedom that select a unique ground state. The effective model for integer spins is used to predict the low-energy excitations and thermodynamics, and we make a comparison with the semiclassical limit through linear spin wave theory. Finally, we speculate on the nature of the isotropic limit. |
| first_indexed | 2024-04-24T10:15:48Z |
| format | Article |
| id | doaj.art-13bc6b1e993f49d29a284658a22cdf55 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:48Z |
| publishDate | 2022-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-13bc6b1e993f49d29a284658a22cdf552024-04-12T17:18:58ZengAmerican Physical SocietyPhysical Review Research2643-15642022-03-014101320510.1103/PhysRevResearch.4.013205Insights into the anisotropic spin-S Kitaev chainJacob S. GordonHae-Young KeeRecently, there has been a renewed interest in properties of the higher-spin Kitaev models, especially their low-dimensional analogs with additional interactions. These quasi-one-dimensional systems exhibit rich phase diagrams with symmetry-protected topological phases, Luttinger liquids, hidden order, and higher-rank magnetism. However, the nature of the pure spin-S Kitaev chains is not yet fully understood. Earlier works found a unique ground state with short-ranged correlations for S=1 and an intriguing double-peak structure in the heat capacity associated with an entropy plateau. To understand the low-energy excitations and thermodynamics for general S, we study the anisotropic spin-S Kitaev chain. Starting from the dimerized limit, we derive an effective low-energy Hamiltonian at finite anisotropy. For half-integer spins we find a trivial effective model, reflecting a nonlocal symmetry protecting the degeneracy, while for integer S we find interactions among the flux degrees of freedom that select a unique ground state. The effective model for integer spins is used to predict the low-energy excitations and thermodynamics, and we make a comparison with the semiclassical limit through linear spin wave theory. Finally, we speculate on the nature of the isotropic limit.http://doi.org/10.1103/PhysRevResearch.4.013205 |
| spellingShingle | Jacob S. Gordon Hae-Young Kee Insights into the anisotropic spin-S Kitaev chain Physical Review Research |
| title | Insights into the anisotropic spin-S Kitaev chain |
| title_full | Insights into the anisotropic spin-S Kitaev chain |
| title_fullStr | Insights into the anisotropic spin-S Kitaev chain |
| title_full_unstemmed | Insights into the anisotropic spin-S Kitaev chain |
| title_short | Insights into the anisotropic spin-S Kitaev chain |
| title_sort | insights into the anisotropic spin s kitaev chain |
| url | http://doi.org/10.1103/PhysRevResearch.4.013205 |
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