# Parafermion chain with 2 pi/k Floquet edge modes

@article{Sreejith2016ParafermionCW, title={Parafermion chain with 2 pi/k Floquet edge modes}, author={G. J. Sreejith and Achilleas Lazarides and Roderich Moessner}, journal={Physical Review B}, year={2016}, volume={94}, pages={045127} }

We study parafermion chains with $\mathbb{Z}_k$ symmetry subject to a periodic binary drive. We focus on the case $k=3$. We find that the chains support different Floquet edge modes at nontrivial quasienergies, distinct from those for the static system. We map out the corresponding phase diagram by a combination of analytics and numerics, and provide the location of $2\pi/3$ modes in parameter space. We also show that the modes are robust to weak disorder. While the previously studied $\mathbb…

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