Identifying anomalous Floquet edge modes via bulk-edge correspondence

doi:10.1088/1674-1056/ab6dcb

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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