A Brief History of Free Parafermions
Statistical Mechanics
2023-11-28 v1 Mathematical Physics
math.MP
Abstract
In this article we outline the historical development and key results obtained to date for free parafermionic spin chains. The concept of free parafermions provides a natural N-state generalization of free fermions, which have long underpinned the exact solution and application of widely studied quantum spin chains and their classical counterparts. In particular, we discuss the Baxter-Fendley free parafermionic Z(N) spin chain, which is a relatively simple non-Hermitian generalization of the Ising model.
Keywords
Cite
@article{arxiv.2311.04582,
title = {A Brief History of Free Parafermions},
author = {Murray T. Batchelor and Robert A. Henry and Xilin Lu},
journal= {arXiv preprint arXiv:2311.04582},
year = {2023}
}
Comments
13 pages, 2 figures, to appear AAPPS Bulletin