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Section Chern number for a 3D photonic crystal and the bulk-edge correspondence

We have characterized the robust propagation modes of electromagnetic waves in helical structures by the section Chern number that is defined for a two-dimensional (2D) section of the three- dimensional (3D) Brillouin zone. The Weyl point in the photonic bands is associated with a dis- continuous jump of the section Chern number. A spatially localized Gaussian basis set is used to calculate the section Chern numbers where we have implemented the divergence-free condition on each basis function in 3D. The validity of the bulk-edge correspondence in a 3D photonic crystal is discussed in relation to the broken inversion symmetry.

preprint2016arXivOpen access
Shuhei OonoToshikaze KariyadoYasuhiro Hatsugai
cond-mat.mes-hallphysics.optics
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Shuhei OonoToshikaze KariyadoYasuhiro Hatsugai

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