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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (6), P. 695–700

Nonlinear topological states in the Su–Schrieffer–Heeger model

M. A. Gorlach – ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia; m.gorlach@metalab.ifmo.ru
A. P. Slobozhanyuk – ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia; a.slobozhanyuk@metalab.ifmo.ru

Topological photonics offers unique functionalities in light manipulation at the nanoscale by means of the so-called topological states which are robust against various forms of disorder. One of the simplest one-dimensional models supporting topological states is the Su–Schrieffer–Heeger model. In this paper, we review the physics of the Su–Schrieffer–Heeger model and its nonlinear counterparts exhibiting self-induced, tunable and many-particle edge states. We discuss the robustness of these states, highlighting their rich potential for nanophotonic and quantum optics applications.

Keywords: topological states, nanophotonics, Su–Schrieffer–Heeger model.

PACS 42.50.Ct, 42.70.Qs

DOI 10.17586/2220-8054-2017-8-6-695-700

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