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arXiv · 2311.04582

A Brief History of Free Parafermions

Murray T. Batchelor·Robert A. Henry·Xilin Lu
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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.

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Murray T. Batchelor, Robert A. Henry, Xilin Lu. 2023-11-08. A Brief History of Free Parafermions. https://doi.org/10.1007/s43673-023-00105-3

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