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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.10432 |
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| _version_ | 1866929215118508032 |
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| author | Traverso, Simone Fleckenstein, Christoph Sassetti, Maura Ziani, Niccolò Traverso |
| author_facet | Traverso, Simone Fleckenstein, Christoph Sassetti, Maura Ziani, Niccolò Traverso |
| contents | Clock-spin models are attracting great interest, due to both their rich phase diagram and their connection to parafermions. In this context, we derive an exact local mapping from clock-spin to fermionic partition functions. Such mapping, akin to techniques introduced by Fedotov and Popov for spin $\frac{1}{2}$ chains, grants access to well established numerical tools for the perturbative treatment of fermionic systems in the clock-spin framework. Moreover, in one dimension, it allows to use bosonization to access the low energy properties of clock-spin models. Finally, aside from the direct application in clock-spin models, this new mapping enables the conception of interesting fermionic models, based on the clock-spin counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10432 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An exact local mapping from clock-spins to fermions Traverso, Simone Fleckenstein, Christoph Sassetti, Maura Ziani, Niccolò Traverso Statistical Mechanics Clock-spin models are attracting great interest, due to both their rich phase diagram and their connection to parafermions. In this context, we derive an exact local mapping from clock-spin to fermionic partition functions. Such mapping, akin to techniques introduced by Fedotov and Popov for spin $\frac{1}{2}$ chains, grants access to well established numerical tools for the perturbative treatment of fermionic systems in the clock-spin framework. Moreover, in one dimension, it allows to use bosonization to access the low energy properties of clock-spin models. Finally, aside from the direct application in clock-spin models, this new mapping enables the conception of interesting fermionic models, based on the clock-spin counterparts. |
| title | An exact local mapping from clock-spins to fermions |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2304.10432 |