| Title: |
Takagi Topological Insulator on the Honeycomb Lattice |
| Authors: |
Liu, Qing, Wang, Kai, Dai, Jia-Xiao, Zhao, Y. X. |
| Source: |
Front. Phys. 10:915764 (2022) |
| Publication Year: |
2022 |
| Collection: |
Condensed Matter |
| Subject Terms: |
Condensed Matter - Mesoscale and Nanoscale Physics |
| More Details: |
Recently, real topological phases protected by $PT$ symmetry have been actively investigated. In two dimensions, the corresponding topological invariant is the Stiefel-Whitney number. A recent theoretical advance is that in the presence of the sublattice symmetry, the Stiefel-Whitney number can be equivalently formulated in terms of Takagi's factorization. The topological invariant gives rise to a novel second-order topological insulator with odd $PT$-related pairs of corner zero modes. In this article, we review the elements of this novel second-order topological insulator, and demonstrate the essential physics by a simple model on the honeycomb lattice. |
| Document Type: |
Working Paper |
| DOI: |
10.3389/fphy.2022.915764 |
| Access URL: |
http://arxiv.org/abs/2205.05873 |
| Accession Number: |
edsarx.2205.05873 |
| Database: |
arXiv |
