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Z_{Q} Berry phase for higher-order symmetry-protected topological phases
- Source :
- Physical Review Research, Vol 2, Iss 1, p 012009 (2020)
- Publication Year :
- 2020
- Publisher :
- American Physical Society, 2020.
-
Abstract
- We propose the Z_{Q} Berry phase as a topological invariant for higher-order symmetry-protected topological (HOSPT) phases for two- and three-dimensional systems. It is topologically stable for electron-electron interactions assuming the gap remains open. As a concrete example, we show that the Berry phase is quantized in Z_{4} and characterizes the HOSPT phase of the extended Benalcazar-Bernevig-Hughes (BBH) model, which contains the next-nearest-neighbor hopping and the intersite Coulomb interactions. In addition, we introduce the Z_{4} Berry phase for the spin-model analog of the BBH model. Furthermore, we demonstrate the Berry phase is quantized in Z_{4} for the three-dimensional version of the BBH model. We also confirm the bulk-corner correspondence between the Z_{4} Berry phase and the corner states in the HOSPT phases.
Details
- Language :
- English
- ISSN :
- 26431564
- Volume :
- 2
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Physical Review Research
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.92bcc8983266434c912efb5d29cba941
- Document Type :
- article
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.2.012009