Bulk-edge correspondence for topological photonic continua

@article{Silveirinha2016BulkedgeCF,
  title={Bulk-edge correspondence for topological photonic continua},
  author={M{\'a}rio G. Silveirinha},
  journal={Physical Review B},
  year={2016},
  volume={94},
  pages={205105}
}
Here, building on our previous work [Phys. Rev. B 92, 125153 (2015)], it is shown that the propagation of unidirectional gapless edge states at an interface of two topologically distinct electromagnetic continua with a well-behaved asymptotic electromagnetic response is rigorously predicted by the bulk-edge correspondence principle. We work out detailed examples demonstrating that when the spatial cutoff of the nonreciprocal part of the material response is considered self-consistently in the… Expand
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References

SHOWING 1-10 OF 44 REFERENCES
Topological photonic phase in chiral hyperbolic metamaterials.
TLDR
The effective medium route to topological phases will pave the way for highly compact one-way transportation of electromagnetic waves in integrated photonic circuits and bridge the gap between the advancing field of topological band theory and classical optical phenomena such as the spin Hall effect of light. Expand
Photonic Floquet topological insulators
TLDR
This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges. Expand
Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material.
TLDR
The present work solves Maxwell equations and demonstrates the new photonic topology by revealing pseudospin-resolved Berry curvatures of photonic bands and helical edge states characterized by Poynting vectors. Expand
Photonic topological insulators
TLDR
It is shown that metacrystals-superlattices of metamaterials with judiciously designed properties-provide a platform for designing topologically non-trivial photonic states, similar to those identified for condensed-matter topological insulators. Expand
Photonic topological Chern insulators based on Tellegen metacrystals
We demonstrate that topologically nontrivial states of light can be engineered in periodic photonic structures containing media with a Tellegen-type bianisotropic response. Whilst in suchExpand
Chern invariants for continuous media
Here, we formally develop theoretical methods to topologically classify a wide class of bianisotropic continuous media. It is shown that for continuous media the underlying wave vector space may beExpand
Reflection-free one-way edge modes in a gyromagnetic photonic crystal.
TLDR
It is shown that the TM modes in a gyromagnetic photonic crystal can be formally mapped to electronic wave functions in a periodic electromagnetic field, so that the only requirement for the existence of one-way edge modes is that the Chern number for all bands below a gap is nonzero. Expand
The effects of three-dimensional defects on one-way surface plasmon propagation for photonic topological insulators comprised of continuum media
TLDR
It is shown that, although backward propagation/reflection cannot occur, side scattering does take place and has significant effect on the propagation of the surface mode, and the effects of metal loss are considered. Expand
Topological magnetoplasmon
TLDR
The historically studied two-dimensional magnetoplasmon, which bears gapped bulk states and gapless one-way edge states near-zero frequency, is topologically analogous to the 2D topological p+ip superconductor with chiral Majorana edge states and zero modes. Expand
Observation of unidirectional backscattering-immune topological electromagnetic states
TLDR
It is demonstrated that, like their electronic counterparts, electromagnetic CESs can travel in only one direction and are very robust against scattering from disorder; it is found that even large metallic scatterers placed in the path of the propagating edge modes do not induce reflections. Expand
...
1
2
3
4
5
...