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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/2501.11396 |
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| _version_ | 1866915281681514496 |
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| author | Fünfhaus, Axel García-Díez, Mikel Vergniory, M. G. Kopp, Thilo Winter, Stephen M. Valentí, Roser |
| author_facet | Fünfhaus, Axel García-Díez, Mikel Vergniory, M. G. Kopp, Thilo Winter, Stephen M. Valentí, Roser |
| contents | In the study of quantum spin liquids, the Kitaev model plays a pivotal role due to the fact that its ground state is exactly known as well as the fact that it may be realized in strongly frustrated materials such as $α$-RuCl${}_3$. While topological insulators and superconductors can be investigated by means of topological band theory -- in particular the topological quantum chemistry (TQC) formalism -- the Kitaev model evades such a treatment, as it is not possible to set up a proper single-particle Green's function for it. We instead associate spin operators with ``orbitals'' that give rise to a band structure. It is thereby possible to analyze the corresponding excitation spectrum engendered by these localized excitations by means of TQC. Special attention is given to the low-energy topological edge mode spectrum. Our work sheds light on the question how the TQC formalism may be generalized to strongly correlated and topologically ordered systems like the Kitaev model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11396 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Band representations in Strongly Correlated Settings: The Kitaev Honeycomb Model Fünfhaus, Axel García-Díez, Mikel Vergniory, M. G. Kopp, Thilo Winter, Stephen M. Valentí, Roser Strongly Correlated Electrons In the study of quantum spin liquids, the Kitaev model plays a pivotal role due to the fact that its ground state is exactly known as well as the fact that it may be realized in strongly frustrated materials such as $α$-RuCl${}_3$. While topological insulators and superconductors can be investigated by means of topological band theory -- in particular the topological quantum chemistry (TQC) formalism -- the Kitaev model evades such a treatment, as it is not possible to set up a proper single-particle Green's function for it. We instead associate spin operators with ``orbitals'' that give rise to a band structure. It is thereby possible to analyze the corresponding excitation spectrum engendered by these localized excitations by means of TQC. Special attention is given to the low-energy topological edge mode spectrum. Our work sheds light on the question how the TQC formalism may be generalized to strongly correlated and topologically ordered systems like the Kitaev model. |
| title | Band representations in Strongly Correlated Settings: The Kitaev Honeycomb Model |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2501.11396 |