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Chin. Phys. B, 2020, Vol. 29(4): 047301    DOI: 10.1088/1674-1056/ab6dcb
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES Prev   Next  

Identifying anomalous Floquet edge modes via bulk-edge correspondence

Huanyu Wang(王寰宇)1,2, Wuming Liu(刘伍明)1,2,3
1 Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China
Abstract  Floquet engineering appears as a new protocol for designing topological states of matter, and features anomalous edge modes pinned at quasi-energy π/T with vanished topological index. We propose how to predict the anomalous edge modes via the bulk Hamiltonian in frequency space, and use Zak phase to quantitatively index the topological properties. The above methods are clarified by the example of time periodic Kitaev chain with chemical potential of harmonic driving and pulse driving, and topological phase transitions are manifested at different driving frequencies.
Keywords:  Floquet energineering      bulk-edge correspondence      Zak phase  
Received:  22 December 2019      Revised:  06 January 2020      Accepted manuscript online: 
PACS:  73.23.-b (Electronic transport in mesoscopic systems)  
  71.10.Pm (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))  
  03.65.Vf (Phases: geometric; dynamic or topological)  
  75.10.Pq (Spin chain models)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 2016YFA0301500).
Corresponding Authors:  Wuming Liu     E-mail:  wliu@iphy.ac.cn

Cite this article: 

Huanyu Wang(王寰宇), Wuming Liu(刘伍明) Identifying anomalous Floquet edge modes via bulk-edge correspondence 2020 Chin. Phys. B 29 047301

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