Antiunitary symmetry protected higher-order topological phases
Higher-order topological (HOT) phases feature boundary (such as corner and hinge) modes of codimension d_{c}>1. We here identify an antiunitary operator that ensures the spectral symmetry of a two-dimensional HOT insulator and the existence of cornered localized states (d_{c}=2) at precise zero e...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2019-12-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.1.032048 |
| _version_ | 1797211644779036672 |
|---|---|
| author | Bitan Roy |
| author_facet | Bitan Roy |
| author_sort | Bitan Roy |
| collection | DOAJ |
| description | Higher-order topological (HOT) phases feature boundary (such as corner and hinge) modes of codimension d_{c}>1. We here identify an antiunitary operator that ensures the spectral symmetry of a two-dimensional HOT insulator and the existence of cornered localized states (d_{c}=2) at precise zero energy. Such an antiunitary symmetry allows us to construct a generalized HOT insulator that continues to host corner modes even in the presence of a weak anomalous Hall insulator and spin-orbital density-wave orderings, and is characterized by a quantized quadrupolar moment Q_{xy}=0.5. Similar conclusions can be drawn for the time-reversal symmetry breaking HOT p+id superconductor and the corner localized Majorana zero modes survive even in the presence of weak Zeeman coupling and s-wave pairing. Such HOT insulators also serve as the building blocks of three-dimensional second-order Weyl semimetals, supporting one-dimensional hinge modes. |
| first_indexed | 2024-04-24T10:29:46Z |
| format | Article |
| id | doaj.art-fd10a51a73ad423bb6e559774061948f |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:29:46Z |
| publishDate | 2019-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-fd10a51a73ad423bb6e559774061948f2024-04-12T16:48:04ZengAmerican Physical SocietyPhysical Review Research2643-15642019-12-011303204810.1103/PhysRevResearch.1.032048Antiunitary symmetry protected higher-order topological phasesBitan RoyHigher-order topological (HOT) phases feature boundary (such as corner and hinge) modes of codimension d_{c}>1. We here identify an antiunitary operator that ensures the spectral symmetry of a two-dimensional HOT insulator and the existence of cornered localized states (d_{c}=2) at precise zero energy. Such an antiunitary symmetry allows us to construct a generalized HOT insulator that continues to host corner modes even in the presence of a weak anomalous Hall insulator and spin-orbital density-wave orderings, and is characterized by a quantized quadrupolar moment Q_{xy}=0.5. Similar conclusions can be drawn for the time-reversal symmetry breaking HOT p+id superconductor and the corner localized Majorana zero modes survive even in the presence of weak Zeeman coupling and s-wave pairing. Such HOT insulators also serve as the building blocks of three-dimensional second-order Weyl semimetals, supporting one-dimensional hinge modes.http://doi.org/10.1103/PhysRevResearch.1.032048 |
| spellingShingle | Bitan Roy Antiunitary symmetry protected higher-order topological phases Physical Review Research |
| title | Antiunitary symmetry protected higher-order topological phases |
| title_full | Antiunitary symmetry protected higher-order topological phases |
| title_fullStr | Antiunitary symmetry protected higher-order topological phases |
| title_full_unstemmed | Antiunitary symmetry protected higher-order topological phases |
| title_short | Antiunitary symmetry protected higher-order topological phases |
| title_sort | antiunitary symmetry protected higher order topological phases |
| url | http://doi.org/10.1103/PhysRevResearch.1.032048 |
| work_keys_str_mv | AT bitanroy antiunitarysymmetryprotectedhigherordertopologicalphases |