Parafermion chain with $2\pi/k$ Floquet edge modes
Abstract
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 $\mathbb{Z}_2$invariant Majorana systems posesses a transparent weakly interacting case where the existence of a $\pi$Majorana mode is manifest, our intrinsically strongly interacting generalization demonstrates that the existence of such a limit is not necessary.
 Publication:

arXiv eprints
 Pub Date:
 February 2016
 arXiv:
 arXiv:1603.00095
 Bibcode:
 2016arXiv160300095S
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 Phys. Rev. B 94, 045127 (2016)