Identifying anomalous Floquet edge modes via bulk-edge correspondence

doi:10.1088/1674-1056/ab6dcb

中国物理B ›› 2020, Vol. 29 ›› Issue (4): 47301-047301.doi: 10.1088/1674-1056/ab6dcb

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Identifying anomalous Floquet edge modes via bulk-edge correspondence

Huanyu Wang(王寰宇), Wuming Liu(刘伍明)

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

收稿日期:2019-12-22 修回日期:2020-01-06 出版日期:2020-04-05 发布日期:2020-04-05
通讯作者: Wuming Liu E-mail:wliu@iphy.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 2016YFA0301500).

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

Received:2019-12-22 Revised:2020-01-06 Online:2020-04-05 Published:2020-04-05
Contact: Wuming Liu E-mail:wliu@iphy.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 2016YFA0301500).

摘要/Abstract

摘要： 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.

关键词: Floquet energineering, bulk-edge correspondence, Zak phase

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.

Key words: Floquet energineering, bulk-edge correspondence, Zak phase

中图分类号: (Electronic transport in mesoscopic systems)

73.23.-b

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)

王寰宇, 刘伍明. Identifying anomalous Floquet edge modes via bulk-edge correspondence[J]. 中国物理B, 2020, 29(4): 47301-047301.

Huanyu Wang(王寰宇), Wuming Liu(刘伍明). Identifying anomalous Floquet edge modes via bulk-edge correspondence[J]. Chin. Phys. B, 2020, 29(4): 47301-047301.

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Identifying anomalous Floquet edge modes via bulk-edge correspondence

Identifying anomalous Floquet edge modes via bulk-edge correspondence

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