Topological edge-states of the PT-symmetric Su-Schrieffer-Heeger model: An effective two-state description

Abstract

We consider the non-Hermitian, parity-time (PT) symmetric extensions of the one-dimensional Su-Schrieffer-Heeger (SSH) model in the topological non-trivial 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 PT-symmetry breaking point for the edge states. We verify our analytical results by exact numerical calculations.

7 pages, 4 figures

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• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions
• Topology and $\mathcal{P}\mathcal{T}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation
• Topological enhancement of a PT-symmetric Su-Schrieffer-Heeger quantum battery
• Characteristic determinant approach to the spectrum of one-dimensional $\mathcal{P}\mathcal{T}$-symmetric systems