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Tunable arbitrarily located quasi-corner states in multiphase weak topological insulator
Minhan Lou1, Xinkuo Li2, Jianrong Qiu1
1State Key Laboratory of Extreme Photonics and Instrumentation, College of Optical Science and Engineering, Zhejiang University, Hangzhou, China.
Abstract:
In the established symmetry-based higher-order topological insulator (HOTI) phase classification, zero-dimensional (0D) topological states are treated as a pure bulk topology phenomenon determined only by symmetry indicators. Here we report unconventional compactly supported 0D topological states termed as quasi-corner states located protected by two-dimensional (2D) weak topology at desirable vacancy-defects in 2D anisotropic honeycomb lattices (AHLs). Two weak topological indexes are derived to classify four topological phases and the corresponding positions of Wannier charge center. The emergence of quasi-corner state at the boundary site requires that the Wannier center is located at the site's broken bond. Quasi-corner states do not exist under strong topological phase. At single vacancy defect, the three weak topological phases correspond to three quasi-corner states localized at different sites, which enables localization position tuning by uniaxial strain. Topology-protected long-range coupling with dynamic oscillation of coupled quasi-corner states is also observed and allows flexibly tunable light localization.
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