Three-Dimensional Higher-Order Topological Insulator Protected by Cubic Symmetry

Kachin, Valerii I.; Gorlach, Maxim A.

doi:10.1103/physrevapplied.16.024032

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2021

2022

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Cited by 2 publications

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“…For different types of states, IPR shows different scaling with the size of the system N : I ∝ 1/N for the bulk states, I ∝ 1/ √ N for edge states, and I ∝ 1 for corner states [36,37]. Indeed, we recognize three different types of scaling inspecting ln(I), which is color coded in panel (b) of Fig.…”

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confidence: 96%

Tailoring higher-order topological phases via orbital hybridization

Mazanov,

Gorlach

2021

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Higher-order topological insulators (HOTIs) have attracted much attention in photonics due to the tightly localized disorder-robust corner and hinge states. Here, we reveal an unconventional HOTI phase with vanishing dipole and quadrupole polarizations. This phase arises in the array of evanescently coupled waveguides hosting degenerate s-and d-type orbital modes arranged in a square lattice with four waveguides in the unit cell. As we prove, the degeneracy of the modes with the different symmetry gives rise to the nontrivial topological properties rendering the system equivalent to the two copies of anisotropic two-dimensional Su-Schrieffer-Heeger model rotated by 90 • with respect to each other and based on s ± d hybridized orbitals. Our results introduce a route to tailor higher-order band topology leveraging both crystalline symmetries and accidental degeneracies of the different orbital modes.

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confidence: 96%