Journal
PHYSICAL REVIEW B
Volume 104, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.104.L020302
Keywords
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Funding
- Singapore Ministry of Education Academic Research Fund Tier-3 [MOE2017-T3-1-001, R-144-000-425-592]
- Singapore NRF [NRF-NRFI2017-04, R-144-000-378-281]
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This work presents a physically motivated and easy-to-implement approach to enhance symmetry analysis to distinguish between different Floquet topological phases, particularly in the case of an inversion-symmetric periodically driven system. It shows that stable dynamical symmetry inversion points can be used to differentiate topological states from normal insulators, even when their symmetry eigenvalues are the same.
The topological characterization of nonequilibrium topological matter is highly nontrivial because familiar approaches designed for equilibrium topological phases may not apply. In the presence of crystal symmetry, Floquet topological insulator states cannot be easily distinguished from normal insulators by a set of symmetry eigenvalues at high-symmetry points in the Brillouin zone. This work advocates a physically motivated, easy-to-implement approach to enhance the symmetry analysis to distinguish between a variety of Floquet topological phases. Using a two-dimensional inversion-symmetric periodically driven system as an example, we show that the symmetry eigenvalues for anomalous Floquet topological states, of both first order and second order, are the same as for normal atomic insulators. However, the topological states can be distinguished from one another and from normal insulators by inspecting the occurrence of stable dynamical symmetry inversion points in their microscopic dynamics. The analysis points to a position-space picture for understanding how topological boundary states can coexist with localized bulk states in anomalous Floquet topological phases.
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