Quasiperiodic–Periodic Properties and Topological Transitions in Twisted Nested Moiré Patterns
Shanghai Polytechnic University · Hunan University · +2 more institutions
Abstract
ABSTRACT The moiré patterns generated by altering the structural parameters in two or more layers of periodic materials exhibit rich topological properties. However, the characteristics of twisted nested moiré patterns and their correlation with topological transitions remain unexplored. In this work, we propose a “twisted nested photonic crystal” (TNPC), a hierarchical superlattice structure previously unreported. TNPCs facilitate the design of nested superlattices with unique spatial geometries and a tunable Quasiperiodic‐periodic properties (evolution from quasiperiodicity to periodicity). We derive the underlying theory for the Hamiltonian of a twisted Su‐Schrieffer‐Heeger model. This work reveals the…
Citation impact
- FWCI
- 24.91
- Percentile
- 99%
- References
- 48
Authors
8Topics & keywords
- Quasiperiodicity
- Topology (electrical circuits)
- Topological dynamics
- Hamiltonian (control theory)
- Superlattice
- Topological entropy in physics