9 citations · 10 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2025
The planar parafermion algebra: The clock model and the coupled Temperley-Lieb algebra
Remy Adderton, Murray T. Batchelor
The Hamiltonian of the -state clock model is written in terms of a coupled Temperley-Lieb (TL) algebra defined by types of TL generators. This generalizes a previous resul…
quant-ph2025★ 1 cited
Exceptional point rings and -symmetry in the non-Hermitian XY model
Robert A. Henry, D. C. Liu, Murray T. Batchelor
The XY spin chain is a paradigmatic example of a model solved by free fermions, in which the energy eigenspectrum is built from combinations of quasi-energies. In this article we s…
cond-mat.stat-mech2023★ 9 cited
A Brief History of Free Parafermions
Murray T. Batchelor, Robert A. Henry, Xilin Lu
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-sta…