We consider a disordered waveguide consisting of trivial dielectric and non-trivial magnetically anisotropic material. A topologically protected edge mode appears owing to the broken time-reversal symmetry of the non-trivial lattice. While the edge mode maintains under other position and radius disorders, the protection is immediately broken by applying a radius disorder to the non-trivial lattice. This breakdown originates from donor and acceptor modes occupying the topological bandgap. Furthermore, via the calculation of the Bott index, we show that Anderson localization occurs as a metal conducting gap changes to a topological gap along with increasing disorders.

中文翻译：

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无序波导中拓扑保护的容差和击穿

我们考虑由普通介电材料和非普通磁各向异性材料组成的无序波导。由于非平凡晶格的时间反演对称性被破坏，出现了拓扑保护边缘模式。虽然边缘模式在其他位置和半径无序下保持不变，但通过对非平凡晶格应用半径无序，保护会立即被破坏。这种击穿源于占据拓扑带隙的供体和受体模式。此外，通过计算 Bott 指数，我们发现安德森局域化是随着金属导电间隙随着无序度的增加而转变为拓扑间隙而发生的。