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

被引：13

作者：

Oono, Shuhei ^{[1
]}

Kariyado, Toshikaze ^{[1
,2
]}

Hatsugai, Yasuhiro ^{[1
]}

机构：

[1] Univ Tsukuba, Grad Sch Pure & Appl Sci, Tsukuba, Ibaraki 3058577, Japan

[2] Natl Inst Mat Sci, Int Ctr Mat Nanoarchitecton, Tsukuba, Ibaraki 3050047, Japan

来源：

PHYSICAL REVIEW B | 2016年 / 94卷 / 12期

关键词：

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

D O I：

10.1103/PhysRevB.94.125125

中图分类号：

T [工业技术];

学科分类号：

08 ;

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.

引用

页数：10

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