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Topological Anderson phase in quasi-periodic waveguide lattices

Stefano Longhi

2020Optics Letters33 citationsDOIOpen Access PDF

Abstract

The topological trivial band of a lattice can be driven into a topological phase by disorder in the system. This so-called topological Anderson phase has been predicted and observed for uncorrelated static disorder, while in the presence of correlated disorder, conflicting results are found. Here we consider a Su-Schrieffer-Heeger waveguide lattice in the trivial topological phase and show that quasi-periodic disorder in the coupling constants can drive the lattice into a topological nontrivial phase. A method to detect the emergence of the topological Anderson phase, based on light dynamics at the edge of a quasi-periodic waveguide lattice, is suggested.

Topics & Concepts

PhysicsTopology (electrical circuits)Lattice (music)UncorrelatedAnderson localizationWaveguideTopological orderPhase (matter)Coupling (piping)Quantum mechanicsTopological quantum numberTopological entropy in physicsElectronic band structureTopological degeneracyCondensed matter physicsAnderson impurity modelOpticsLattice constantLattice model (finance)PhotonicsCoupling constantTopological Materials and PhenomenaQuasicrystal Structures and PropertiesNonlinear Photonic Systems