Tolerance and breakdown of topological protection in a disordered waveguide

Author:

Goudarzi Kiyanoush12ORCID,Lee Moonjoo1ORCID

Affiliation:

1. Department of Electrical Engineering, Pohang University of Science and Technology (POSTECH) 1 , 37673 Pohang, South Korea

2. Department of Electrical and Computer Engineering, North Carolina State University 2 , Raleigh, North Carolina 27695, USA

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.

Funder

BK21 FOUR program and Educational Institute for Intelligent Information Integration

National Research Foundation

Samsung Electronics Co., Ltd

Samsung Science and Technology Foundation

Publisher

AIP Publishing

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