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  Wannier representation of Floquet topological states

Nakagawa, M., Slager, R.-J., Higashikawa, S., & Oka, T. (2020). Wannier representation of Floquet topological states. Physical Review B, 101(7): 075108, pp. 1-16. doi:10.1103/PhysRevB.101.075108.

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Nakagawa, Masaya1, Author
Slager, Robert-Jan1, Author           
Higashikawa, Sho1, Author
Oka, Takashi2, Author           
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1External Organizations, ou_persistent22              
2Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863462              

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 Abstract: A universal feature of topological insulators is that they cannot be adiabatically connected to an atomic limit, where individual lattice sites are completely decoupled. This property is intimately related to a topological obstruction to constructing a localized Wannier function from Bloch states of an insulator. Here, we generalize this characterization of topological phases toward periodically driven systems. We show that nontrivial connectivity of hybrid Wannier centers in momentum space and time can characterize various types of topology in periodically driven systems, which include Floquet topological insulators, anomalous Floquet topological insulators with micromotion-induced boundary states, and gapless Floquet states realized with topological Floquet operators. In particular, nontrivial time dependence of hybrid Wannier centers indicates impossibility of continuous deformation of a driven system into an undriven insulator, and a topological Floquet operator implies an obstruction to constructing a generalized Wannier function which is localized in real and frequency spaces. Our results pave a way to a unified understanding of topological states in periodically driven systems as a topological obstruction in Floquet states.

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Language(s): eng - English
 Dates: 2020-02-102020-02-10
 Publication Status: Published in print
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Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
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Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 101 (7) Sequence Number: 075108 Start / End Page: 1 - 16 Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008