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Tolerance and breakdown of topological protection in a disordered waveguide

2023/09/14 by Kiyanoush Goudarzi, Moonjoo Lee, Goudarzi, Kiyanoush +1 · 1 citation
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Magnetic properties of thin films #Optics (physics.optics) #Photonic Crystals and Applications #Quantum Physics (quant-ph) #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2309.07710

openalex publication_date 2023/09/14 · openalex created_date 2023/09/16 · openalex updated_date 2026/07/28

Abstract

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.

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