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Parafermion chain with 2 pi/k Floquet edge modes

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Sreejith,  G. J.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Lazarides,  Achilleas
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Moessner,  Roderich
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Sreejith, G. J., Lazarides, A., & Moessner, R. (2016). Parafermion chain with 2 pi/k Floquet edge modes. Physical Review B, 94(4): 045127. doi:10.1103/PhysRevB.94.045127.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-1E97-D
Abstract
We study parafermion chains with Zk symmetry subject to a periodic binary drive, focusing 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 Z2-invariant Majorana systems possess a transparent weakly interacting limit 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.