Classification of topological insulators and superconductors in the presence of reflection symmetry
By Ching-Kai Chiu, H. Yao, S. Ryu. 2013
239 citations recorded by the source corpus.
We discuss a topological classification of insulators and superconductors in the presence of both (non-spatial) discrete symmetries in the Altland-Zirnbauer classification and spatial reflection symmetry in any spatial dimensions. By using the structure of bulk Dirac Hamiltonians of minimal matrix dimensions and explicit constructions of topological invariants, we provide the complete classification, which still has the same dimensional periodicities with the original Altland-Zirnbauer classification. The classification of reflection-symmetry-protected topological insulators and superconductors depends crucially on the way reflection symmetry operation is realized. When a boundary is introduced, which is reflected into itself, these non-trivial topological insulators and superconductors support gapless modes localized at the boundary.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/b482bde46a0b246a5d8f3ad18226e2df539569e9
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
- K. Kawabata
- Masatoshi Sato
- Ken Shiozaki
- Masahito Ueda
- Luka Trifunovic
- P. Brouwer
- Yuto Ashida
- Z. Gong
In Materials Chemistry
- S. Higashikawa
- K. Kawabata
- Masahito Ueda
- Z. Gong
- Ken Shiozaki
- Luka Trifunovic
- Masatoshi Sato
- K. Takasan
Citations in the corpus
- Symmetry and Topology in Non-Hermitian Physics (2018, background): “[211] C.”
- Topological Phases of Non-Hermitian Systems (2018, background): “(35) alone, we know that theHermitianizedHamiltonian (22) exhibits not only a chiral symmetry Σ but also a mirror symmetry (with respect to the y axis) σz ⊗ σx that commutes withΣ, leading to aZ classification [49].”
- Higher-Order Bulk-Boundary Correspondence for Topological Crystalline Phases (2018, background): “Shiozaki and Sato [21] extend the tenfold-way classes to include an additional crystalline unitary symmetry [8,9,16], unitary antisymmetry, antiunitary symmetry, or antiunitary antisymmetry S.”