Murray T. Batchelor

collaborators

2 papers

cond-mat.stat-mech2025

The planar parafermion algebra: The $Z_{N}$ clock model and the coupled Temperley-Lieb algebra

Remy Adderton, Murray T. Batchelor

The Hamiltonian of the $N$ -state clock model is written in terms of a coupled Temperley-Lieb (TL) algebra defined by $N - 1$ types of TL generators. This generalizes a previous resul…

quant-ph2025

Exceptional point rings and $P T$ -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…

The planar parafermion algebra: The ZN​ clock model and the coupled Temperley-Lieb algebra

Exceptional point rings and PT-symmetry in the non-Hermitian XY model

The planar parafermion algebra: The $Z_{N}$ clock model and the coupled Temperley-Lieb algebra

Exceptional point rings and $P T$ -symmetry in the non-Hermitian XY model