Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.23713 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918077671669760 |
|---|---|
| author | Chen, Hongyu |
| author_facet | Chen, Hongyu |
| contents | Topological quantum chemistry (TQC) classifies the topological phases by real-space invariants in which obstructed atomic insulators belong to the trivial case but sometimes show the feature of higher-order topological insulator. Here, for a two-dimensional magnetic photonic obstructed atomic insulator, we show that the emergence of corner states is associated with the Wyckoff positions. In such a square lattice with four +$M$ elements and four -$M$ elements, corner states appear when the superlattice exposes $2b$ Wyckoff positions. And the corner states will decrease when the number of exposed $2b$ Wyckoff positions decreases and disappears when $2b$ Wyckoff positions no longer stand at the edge. By arranging all the magnetic rods into one magnetization direction, we find that time-reversal symmetry is not important for corner states. Our finding indicates that the real-space distribution of atoms determines the feature of higher-order topological insulators for obstructed atomic insulators in TQC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Photonic obstructed atomic insulator Chen, Hongyu Materials Science Topological quantum chemistry (TQC) classifies the topological phases by real-space invariants in which obstructed atomic insulators belong to the trivial case but sometimes show the feature of higher-order topological insulator. Here, for a two-dimensional magnetic photonic obstructed atomic insulator, we show that the emergence of corner states is associated with the Wyckoff positions. In such a square lattice with four +$M$ elements and four -$M$ elements, corner states appear when the superlattice exposes $2b$ Wyckoff positions. And the corner states will decrease when the number of exposed $2b$ Wyckoff positions decreases and disappears when $2b$ Wyckoff positions no longer stand at the edge. By arranging all the magnetic rods into one magnetization direction, we find that time-reversal symmetry is not important for corner states. Our finding indicates that the real-space distribution of atoms determines the feature of higher-order topological insulators for obstructed atomic insulators in TQC. |
| title | Photonic obstructed atomic insulator |
| topic | Materials Science |
| url | https://arxiv.org/abs/2506.23713 |