Parafermion chain with $2π/k$ Floquet edge modes

G J Sreejith; Achilleas Lazarides; Roderich Moessner

doi:10.1103/physrevb.94.045127

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arXiv · 1603.00095

Parafermion chain with $2π/k$ Floquet edge modes

G J Sreejith·Achilleas Lazarides·Roderich Moessner

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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 $2π/3$ 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 $π$-Majorana mode is manifest, our intrinsically strongly interacting generalization demonstrates that the existence of such a limit is not necessary.

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G J Sreejith, Achilleas Lazarides, Roderich Moessner. 2016-02-29. Parafermion chain with $2π/k$ Floquet edge modes. https://doi.org/10.1103/physrevb.94.045127

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