Tutorial: Computing Topological Invariants in 2D Photonic Crystals
@article{BlancodePaz2019TutorialCT, title={Tutorial: Computing Topological Invariants in 2D Photonic Crystals}, author={Mar{\'i}a Blanco de Paz and Chiara Devescovi and G{\'e}za Giedke and J J S{\'a}enz and Maia G. Vergniory and Barry Bradlyn and Dario Bercioux and Aitzol Garc'ia-Etxarri}, journal={Advanced Quantum Technologies}, year={2019}, volume={3} }
The field of topological photonics emerged as one of the most promising areas for applications in transformative technologies: possible applications are in topological lasers or quantum optics interfaces. Nevertheless, efficient and simple methods for diagnosing the topology of optical systems remain elusive for an important part of the community. Herein, a summary of numerical methods to calculate topological invariants emerging from the propagation of light in photonic crystals is provided…
42 Citations
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Robustness of topological corner modes in photonic crystals
- Physics
- 2020
We analyze the robustness of corner modes in topological photonic crystals, taking a $C_6$-symmetric breathing honeycomb photonic crystal as an example. First, we employ topological quantum chemistry…
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- Physics
- 2023
The realization of photonic crystal waveguides with topological protection enables robust light propagation against defect-induced scattering. It should allow the design of very compact devices by…
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- Physics
- 2021
That disorder can induce nontrivial topology is a surprising discovery in topological physics. As a typical example, Chern topological Anderson insulators (TAIs) have been realized in photonic…
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Berry bands and pseudo-spin of topological photonic phases
- Physics
- 2020
Realising photonic analogues of the robust, unidirectional edge states of electronic topological insulators would improve our control of light on the nanoscale and revolutionise the performance of…
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Two-dimensional topological photonic crystals have rapidly emerged as a recent and fascinating branch of photonic research. However, most of them were limited to a specific type of polarization, TE…
Fragile topology based helical edge states in two-dimensional moon-shaped photonic crystals
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We study topological phases in a two-dimensional photonic crystal in a hexagonal lattice composed of an all-dielectric moon-shaped column (MSC) array, which preserves time-reversal symmetry, by…
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