Paul Fendley has recently found a "parafermionic" way to diagonalise a simple solvable hamiltonian associated with the chiral Potts model. Here we indicate how this method generalizes to the τ2 model with open boundaries and make some comments.
Cite
@article{arxiv.1310.7074,
title = {The $\tau_2$ model and parafermions},
author = {R. J. Baxter},
journal= {arXiv preprint arXiv:1310.7074},
year = {2015}
}