期刊
PHYSICAL REVIEW B
卷 103, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.115308
关键词
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资金
- Swedish Research Council [VR 2019-04735]
- Lehigh University
- Vinnova [2019-04735] Funding Source: Vinnova
- Swedish Research Council [2019-04735] Funding Source: Swedish Research Council
In this study, a hierarchy of higher-order Floquet topological phases in three dimensions is constructed by periodically driving static first-order topological phases with suitable discrete symmetry breaking Wilson-Dirac masses. Realizations of second-order and third-order Floquet topological states, supporting dynamic hinge and corner modes, respectively, are demonstrated by introducing one and two discrete symmetry breaking Wilson-Dirac mass(es). The resulting dynamic hinge and corner modes, protected by antiunitary spectral or particle-hole symmetries, live on boundaries with different codimensions.
Following a general protocol of periodically driving static first-order topological phases (supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses, here we construct a hierarchy of higher-order Floquet topological phases in three dimensions. In particular, we demonstrate realizations of both second-order and third-order Floquet topological states, respectively supporting dynamic hinge and corner modes at zero quasienergy, by periodically driving their static first-order parent states with one and two discrete symmetry breaking Wilson-Dirac mass(es). While the static surface states are characterized by codimension d(c) = 1, the resulting dynamic hinge (corner) modes, protected by antiunitary spectral or particle-hole symmetries, live on the boundaries with d(c) = 2 (3). We exemplify these outcomes for three-dimensional topological insulators and Dirac semimetals, with the latter ones following an arbitrary spin-j representation.
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