Dynamical Singularities of Floquet Higher-Order Topological Insulators

Hu, Haiping1,2; Huang, Biao2; Zhao, Erhai1,3; Vincent Liu, W.2,4,5

2020

10.1103/PhysRevLett.124.057001

Physical Review Letters   影响因子和分区

10797114

1079-7114

We propose a versatile framework to dynamically generate Floquet higher-order topological insulators by multistep driving of topologically trivial Hamiltonians. Two analytically solvable examples are used to illustrate this procedure to yield Floquet quadrupole and octupole insulators with zero- and/or π-corner modes protected by mirror symmetries. Furthermore, we introduce dynamical topological invariants from the full unitary return map and show its phase bands contain Weyl singularities whose topological charges form dynamical multipole moments in the Brillouin zone. Combining them with the topological index of a Floquet Hamiltonian gives a pair of Z2 invariant ν0 and νπ which fully characterize the higher-order topology and predict the appearance of zero- and π-corner modes. Our work establishes a systematic route to construct and characterize Floquet higher-order topological phases.
© 2020 American Physical Society.

SCI ; EI

英语

ESI高被引

其他

Air Force Office of Scientific Research[FA9550-16-1-0006] ; [W911NF-17-1-0323] ; Peking University[] ; National Science Foundation[PHY-1707484]

Physics

Physics, Multidisciplinary

WOS:000510750600009

American Physical Society

20201008272294

Electric insulators ; Hamiltonians

Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4

PHYSICS

Web of Science

1.Department of Physics and Astronomy, George Mason University, Fairfax; VA; 22030, United States
2.Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh; PA; 15260, United States
3.Quantum Materials Center, George Mason University, Fairfax; VA; 22030, United States
4.Wilczek Quantum Center, School of Physics and Astronomy, T.D. Lee Institute, Shanghai Jiao Tong University, Shanghai; 200240, China
5.Shenzhen Institute for Quantum Science and Engineering, Department of Physics, Southern University of Science and Technology, Shenzhen; 518055, China

Hu, Haiping,Huang, Biao,Zhao, Erhai,et al. Dynamical Singularities of Floquet Higher-Order Topological Insulators[J]. Physical Review Letters,2020,124(5).

Hu, Haiping,Huang, Biao,Zhao, Erhai,&Vincent Liu, W..(2020).Dynamical Singularities of Floquet Higher-Order Topological Insulators.Physical Review Letters,124(5).

Hu, Haiping,et al."Dynamical Singularities of Floquet Higher-Order Topological Insulators".Physical Review Letters 124.5(2020).