TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.3.055
TI  - An exact local mapping from clock-spins to fermions
PY  - 2023/08/15
UR  - https://scipost.org/SciPostPhysCore.6.3.055
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 3
SP  - 055
A1  - Traverso, Simone
AU  - Fleckenstein, Christoph
AU  - Sassetti, Maura
AU  - Traverso Ziani, Niccolo
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.6.3.055,
	title={{An exact local mapping from clock-spins to fermions}},
	author={Simone Traverso and Christoph Fleckenstein and Maura Sassetti and Niccolò Traverso Ziani},
	journal={SciPost Phys. Core},
	volume={6},
	pages={055},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.3.055},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.3.055},
}