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An exact local mapping from clock-spins to fermions
- Source :
- SciPost Phys. Core 6, 055 (2023)
- Publication Year :
- 2023
-
Abstract
- 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.<br />Comment: 26 pages, 0 figures, Submission to SciPost
- Subjects :
- Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- SciPost Phys. Core 6, 055 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2304.10432
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.21468/SciPostPhysCore.6.3.055