3D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA)
The Stiefel–Whitney (SW) insulator, a specific example of a higher-order topological insulator, is supported by spatial and time-reversal (PT) symmetry. This system with a vanishing Chern number exhibits a topology that belongs to the second SW class. Although the identification of SW insulators has...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2024-12-01
|
| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0237109 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846093473915076608 |
|---|---|
| author | Yang Li |
| author_facet | Yang Li |
| author_sort | Yang Li |
| collection | DOAJ |
| description | The Stiefel–Whitney (SW) insulator, a specific example of a higher-order topological insulator, is supported by spatial and time-reversal (PT) symmetry. This system with a vanishing Chern number exhibits a topology that belongs to the second SW class. Although the identification of SW insulators has been extensively suggested for 2D phononic systems in the past three years, other researchers have not given much consideration to 3D phononic systems with the SW topology. This work shows that a 3D 3,42T32-type carbon allotrope (named 3,42T32-CA) is a candidate material to host the phononic SW topology. Moreover, we present a nontrivial second SW number, represented as w2 = 1, to characterize the phononic SW topology for 3D 3,42T32-CA. Finally, we show that the 3D 3,42T32-CA hosts unconventional bulk-boundary correspondence, i.e., it exhibits 1D hinge vibrational modes in two dimensions lower than the 3D bulk vibrational modes. |
| format | Article |
| id | doaj-art-da4aad9d0ef24f2eb1afcb93f1dea25e |
| institution | Kabale University |
| issn | 2158-3226 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj-art-da4aad9d0ef24f2eb1afcb93f1dea25e2025-01-02T17:23:44ZengAIP Publishing LLCAIP Advances2158-32262024-12-011412125101125101-510.1063/5.02371093D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA)Yang LiThe Stiefel–Whitney (SW) insulator, a specific example of a higher-order topological insulator, is supported by spatial and time-reversal (PT) symmetry. This system with a vanishing Chern number exhibits a topology that belongs to the second SW class. Although the identification of SW insulators has been extensively suggested for 2D phononic systems in the past three years, other researchers have not given much consideration to 3D phononic systems with the SW topology. This work shows that a 3D 3,42T32-type carbon allotrope (named 3,42T32-CA) is a candidate material to host the phononic SW topology. Moreover, we present a nontrivial second SW number, represented as w2 = 1, to characterize the phononic SW topology for 3D 3,42T32-CA. Finally, we show that the 3D 3,42T32-CA hosts unconventional bulk-boundary correspondence, i.e., it exhibits 1D hinge vibrational modes in two dimensions lower than the 3D bulk vibrational modes.http://dx.doi.org/10.1063/5.0237109 |
| spellingShingle | Yang Li 3D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA) AIP Advances |
| title | 3D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA) |
| title_full | 3D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA) |
| title_fullStr | 3D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA) |
| title_full_unstemmed | 3D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA) |
| title_short | 3D phononic Stiefel–Whitney insulator: A case study of 3D 3,42T32-type carbon allotrope (3,42T32-CA) |
| title_sort | 3d phononic stiefel whitney insulator a case study of 3d 3 42t32 type carbon allotrope 3 42t32 ca |
| url | http://dx.doi.org/10.1063/5.0237109 |
| work_keys_str_mv | AT yangli 3dphononicstiefelwhitneyinsulatoracasestudyof3d342t32typecarbonallotrope342t32ca |