Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained
Categorization of Chern Insulators
- URL: http://arxiv.org/abs/2402.01167v1
- Date: Fri, 2 Feb 2024 06:21:46 GMT
- Title: Edge State, Band Topology, and Time Boundary Effect in the Fine-Grained
Categorization of Chern Insulators
- Authors: H. C. Wu, H. S. Xu, L. C. Xie, and L. Jin
- Abstract summary: We find a fine-grained categorization of Chern insulators, their band topologies characterized by identical Chern number are completely different.
We prove that different topologies cause zeros in their Bloch wavefunction overlaps, which imprint the band gap closing and appear at the degenerate points of topological phase transition.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We predict novel topological phases with broken time-reversal symmetry
supporting the coexistence of opposite chiral edge states, which are
fundamentally different from the photonic spin-Hall, valley-Hall, and
higher-order topological phases. We find a fine-grained categorization of Chern
insulators, their band topologies characterized by identical Chern number are
completely different. Furthermore, we prove that different topologies cause
zeros in their Bloch wavefunction overlaps, which imprint the band gap closing
and appear at the degenerate points of topological phase transition. The Bloch
wavefunction overlaps predict the reflection and refraction at a topological
time boundary, and the overlap zeros ensure the existence of vanishing revival
amplitude at critical times even though different topologies before and after
the time boundary have identical Chern number. Our findings create new
opportunities for topological metamaterials, uncover the topological feature
hidden in the time boundary effect as a probe of topology, and open a venue for
the exploration of the rich physics originating from the long-range couplings.
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