Second-order photonic topological insulator with corner states

By Biye Xie, Hong Wang, Hai-Xiao Wang, Xueyi Zhu, Jian‐Hua Jiang, Ming-Hui Lu, Yan Chen. Physical review B, 2018

329 citations recorded by the source corpus.

Higher-order topological insulators (HOTIs) which go beyond the description of conventional bulk-boundary correspondence, broaden the understanding of topological insulating phases. Being mainly focused on electronic materials, HOTIs have not yet been found in photonic crystals. Here, we propose a type of two-dimensional second-order photonic crystals with zero-dimensional corner states and one-dimensional boundary states for optical frequencies. All of these states are topologically nontrivial and can be understood based on the theory of topological polarization. Moreover, by tuning the easily fabricated structure of the photonic crystals, different topological phases can be realized straightforwardly. Our study can be generalized to higher dimensions and provides a platform for higher-order photonic topological insulators and semimetals.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/a694fe1559a9833d1384c9213d6f95c66ccf7f86

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Observation of second-order topological insulators in sonic crystals (2018, background): “Recently, by gapping out the edge states of topological insulators, HOTIs are created, where robust corner or hinge states emerge in the edge gap due to topological mechanisms [24-35].”
Quantization of fractional corner charge in Cn -symmetric higher-order topological crystalline insulators (2018, background): “[22] Bi Ye Xie, Hong Fei Wang, Hai-Xiao Wang, Xue Yi Zhu, Jian-Hua Jiang, Ming Hui Lu, and Yan Feng Chen, “Second-order photonic topological insulator with corner states,” arxiv:1805.”