An exact local mapping from clock-spins to fermions
| Autor: | Traverso, Simone, Fleckenstein, Christoph, Sassetti, Maura, Ziani, Niccolò Traverso |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | SciPost Phys. Core 6, 055 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21468/SciPostPhysCore.6.3.055 |
| Popis: | 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. Comment: 26 pages, 0 figures, Submission to SciPost |
| Databáze: | arXiv |
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