Reflection-Symmetric Second-Order Topological Insulators and Superconductors.
By J. Langbehn, Yang Peng, Luka Trifunovic, F. von Oppen, P. Brouwer. Physical Review Letters, 2017
709 citations recorded by the source corpus.
Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but with topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five of the ten Altland-Zirnbauer symmetry classes allow for the existence of such second-order topological insulators in two and three dimensions. We show that reflection symmetry can be employed to systematically generate examples of second-order topological insulators and superconductors, although the topologically protected states at corners (in two dimensions) or at crystal edges (in three dimensions) continue to exist if reflection symmetry is broken. A three-dimensional second-order topological insulator with broken time-reversal symmetry shows a Hall conductance quantized in units of e^{2}/h.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/ba3137ecd55c5d358eafef4383d9e45a9673a2dd
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In Atomic and Molecular Physics, and Optics
- K. Kawabata
- Masatoshi Sato
- Ken Shiozaki
- Flore K. Kunst
- E. Bergholtz
- Wladimir A. Benalcazar
- T. Hughes
- Tianhe Li
In Materials Chemistry
- Masatoshi Sato
- Ken Shiozaki
- K. Kawabata
- T. Hughes
- E. Bergholtz
- Zhongbo Yan
- Flore K. Kunst
- Wladimir A. Benalcazar
Citations in the corpus
- Corner states of light in photonic waveguides (2018, background): “states localised to corners of two- or three-dimensional lattices or the hinges of three-dimensional lattices [11, 12, 13, 14, 15, 16, 17].”
- Higher-order non-Hermitian skin effect (2020, background): “Recently, higher-order counterparts of topological phases were revealed and investigated extensively [7–19].”
- Quantization of fractional corner charge in Cn -symmetric higher-order topological crystalline insulators (2018, background): “[16] Josias Langbehn, Yang Peng, Luka Trifunovic, Felix von Oppen, and Piet W.”