Topological edge states of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric Su-Schrieffer-Heeger model: An effective two-state description
A. F. Tzortzakakis, A. Katsaris, Nikolaos E. Palaiodimopoulos, P. A. Kalozoumis, Georgios Theocharis, F. Κ. Diakonos, David Petrosyan
Abstract
We consider the non-Hermitian, parity-time- [$(\mathcal{PT})$-] symmetric extensions of the one-dimensional Su-Schrieffer-Heeger model in the topological nontrivial configuration. We study the properties of the topologically protected edge states and develop an effective two-state analytical description of the system that accurately predicts the $\mathcal{PT}$-symmetry-breaking point for the edge states. We verify our analytical results by exact numerical calculations.
Topics & Concepts
Hermitian matrixParity (physics)Enhanced Data Rates for GSM EvolutionTopology (electrical circuits)Symmetry (geometry)PhysicsMathematicsAlgorithmCombinatoricsComputer scienceGeometryQuantum mechanicsArtificial intelligenceQuantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaNonlinear Photonic Systems