Two-dimensional higher-order topological insulator tight-binding

Download scientific diagram | Two-dimensional higher-order topological insulator tight-binding model. a Bulk band-structure and spin Hall conductivity (σ z xy ) as a function of the Fermi energy. b Eigenvalues for a square flake geometry (open boundary conditions) with 32 × 32 sites. The red circles represent the degenerate corner states, with the inset showing a narrow energy window to emphasize their degeneracy. c Corner states realspace projection. The model parameters of equation (1) are M = 2t = 2ξ = 1 and Δ = 0.25. d Spin Hall conductivity as a function of the model parameters (0 ≤ t ≤ 2), (0 ≤ Δ ≤ 1) and (0 < M ≤ 10). e, f, g Spin Hall conductivity for fixed values of Δ = 0, 0.25, and 0.75, respectively. from publication: Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature | The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the d-dimension insulating bulk is confined to (d − 1)-dimensions, led to several potential applications. Recently, it was shown that protected topological | Topology, Conductivity and Discovery | ResearchGate, the professional network for scientists.

FIG. S1. 2D tight binding model: TI × HOTI. Comparison between the TI

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media.springernature.com/m685/springer-static/imag

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color online) Same as Fig. 2 but with the 8-QL sample.

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Two-dimensional higher-order topological insulator tight-binding model.

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PDF) Discovery of Higher-Order Topological Insulators using the Spin Hall Conductivity as a Topology Signature

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