Higher-order topological insulators protected by inversion and rotoinversion symmetries
By Guido van Miert, C. Ortix. Physical review B, 2018
139 citations recorded by the source corpus.
We provide the bulk topological invariant for chiral higher-order topological insulators in (i) fourfold rotoinversion invariant bulk crystals, and (ii) inversion-symmetric systems with or without an additional threefold rotation symmetry. These states of matter are characterized by a nontrivial ${\mathbb{Z}}_{2}$ index, which we define in terms of symmetric hybrid Wannier functions of the filled bands, and can be readily calculated from the knowledge of the crystalline symmetry labels of the bulk band structure. The topological invariant determines the generic presence or absence of protected chiral gapless one-dimensional modes localized at the hinges between conventional gapped surfaces.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/ced7ffd68f68e78ba6201277c27916b867343ec6
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In Atomic and Molecular Physics, and Optics
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- Shoucheng Zhang
- Y. Ando
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In Condensed Matter Physics
Citations in the corpus
- Quantization of fractional corner charge in Cn -symmetric higher-order topological crystalline insulators (2018, background): “[21] Guido van Miert and Carmine Ortix, “Higher-order topological insulators protected by inversion and rotoinversion symmetries,” Phys.”