Report on 2304.10432v1

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 1 2 chains, grants access to well established numerical tools for the perturbative treatment of fermionic systems in the clock-spin framework.Moreover, 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.

Locations

• arXiv (Cornell University) - PDF