Section Chern number for a three-dimensional photonic crystal and the bulk-edge correspondence

Article

关键词: BAND-STRUCTURE CALCULATIONS;    EFFICIENT METHOD;    WANNIER FUNCTIONS;    SPIN HALL;    STATES;    GAP;    PHASE;    BLOCH;    3D;   

DOI  :  10.1103/PhysRevB.94.125125

来源: SCIE

【 摘 要 】

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. TheWeyl point in the photonic bands is associated with a discontinuous jump of the sectionChern 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.

【 授权许可】

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