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… 

Figures from this paper

Topological phase, supercritical point, and emergent phenomena in an extended parafermion chain

Topological orders and associated topological protected excitations satisfying non-Abelian statistics have been widely explored in various platforms. The $\mathbb{Z}_3$ parafermions are regarded as

Floquet time crystals in clock models

We construct a class of period-$n$-tupling discrete time crystals based on $\mathbb{Z}_n$ clock variables, for all the integers $n$. We consider two classes of systems where this phenomenology

Nontopological parafermions in a one-dimensional fermionic model with even multiplet pairing

We discuss a one-dimensional fermionic model with a generalized ZN even multiplet pairing extending Kitaev Z2 chain. The system shares many features with models believed to host localized edge

Simulating Floquet topological phases in static systems

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider

Disordered Chern insulator with a two step Floquet drive

We explore the physics of a Chern insulator subjected to a two-step Floquet drive. We analytically obtain the phase diagram and show that the system can exhibit different topological phases

Long-lived π edge modes of interacting and disorder-free Floquet spin chains

Floquet spin chains have been a venue for understanding topological states of matter that are qualitatively different from their static counterparts by, for example, hosting π edge modes that show

Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect

Periodically driven non-Hermitian systems can exhibit rich topological band structure and non-Hermitian skin effect, without analogs in their static or Hermitian counterparts. In this work we

Almost strong ( 0,π ) edge modes in clean interacting one-dimensional Floquet systems

Certain periodically driven quantum many-particle systems in one dimension are known to exhibit edge modes that are related to topological properties and lead to approximate degeneracies of the

Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains

Floquet spin chains have been a venue for understanding topological states of matter that are qualitatively different from their static counterparts by, for example, hosting π edge modes that show

Anyonic tight-binding models of parafermions and of fractionalized fermions

Parafermions are emergent quasi-particles which generalize Majorana fermions and possess intriguing anyonic properties. The theoretical investigation of effective models hosting them is gaining

References

SHOWING 1-10 OF 21 REFERENCES

and a at

The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally

Physical Review B 92

  • 035154
  • 2015

Physical Review B 24

  • 5180
  • 1981

Phys

  • Rev. Lett. 109, 257201
  • 2012

Phys

  • Rev. X 4, 011052
  • 2014

A smaller unit-cell in Fig-2 would be the hexagon formed by connecting the filled dots. The whole lattice is a hexagonal lattice of such unit-cells

    Annals of Physics 353

    • 196
    • 2015

    Physics-Uspekhi 44

    • 131
    • 2001

    Phys

    • Rev. Lett. 112, 150401
    • 2014

    Physical Review B 88

    • 155133
    • 2013