Floquet Second-Order Topological Insulators from Nonsymmorphic Space-Time Symmetries

Physical Review Letters
Yang Peng, Gil Refael

Abstract

We propose a systematic way of constructing Floquet second-order topological insulators (SOTIs) based on time-glide symmetry, a nonsymmorphic space-time symmetry that is unique in Floquet systems. In particular, we are able to show that the static enlarged Hamiltonian in the frequency domain acquires reflection symmetry, which is inherited from the time-glide symmetry of the original system. As a consequence, one can construct a variety of time-glide symmetric Floquet SOTIs using the knowledge of static SOTIs. Moreover, the time-glide symmetry only needs to be implemented approximately in practice, enhancing the prospects of experimental realizations. We consider two examples, a 2D system in class AIII and a 3D system in class A, to illustrate our ideas, and then present a general recipe for constructing Floquet SOTIs in all symmetry classes.

References

Apr 8, 2011·Physical Review Letters·Liang Fu
Jul 8, 2017·Science·Wladimir A BenalcazarTaylor L Hughes
Dec 30, 2017·Physical Review Letters·Josias LangbehnPiet W Brouwer
Dec 30, 2017·Physical Review Letters·Zhida SongChen Fang
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Citations

Nov 9, 2019·Physical Review Letters·Zhongbo Yan
Sep 22, 2020·Physical Review Letters·P J D CrowleyA Chandran
Jun 13, 2020·Physical Review Letters·Biao Huang, W Vincent Liu
Feb 23, 2020·Physical Review Letters·Haiping HuW Vincent Liu
Nov 17, 2020·Physical Review Letters·Long ZhangXiong-Jun Liu
Mar 23, 2021·Physical Review Letters·Georg Engelhardt, Jianshu Cao
Mar 23, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Ruchira V Bhat, Soumya Bera
May 6, 2021·Nanomaterials·Longwen Zhou
Jul 24, 2021·Physical Review Letters·Chang-An LiBjörn Trauzettel
Jul 14, 2020·Nano Letters·Gan ZhaoZhengfei Wang
Oct 15, 2021·Nature Communications·Jiabin YuZhi-Da Song

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