Topological phase in a non-Hermitian PT symmetric system

Abstract

In this work, we consider a tight binding lattice with two non-Hermitian impurities. The system is described by a non-Hermitian generalization of the Aubry Andre model. We show for the first time that there exists topologically nontrivial edge states with real spectra in the PT symmetric region.

To Appear in PLA

References in corpus (5)

• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Majorana fermions in density modulated p-wave superconducting wires
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Cited by in corpus (21)

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• Topological phase transition in non-Hermitian quasicrystals
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• New topological invariants in non-Hermitian systems
• Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
• Spontaneous topological pumping in non-Hermitian systems
• Numerical calculation of the complex berry phase in non-Hermitian systems
• Non-Hermitian non-Abelian topological insulators with $PT$ symmetry
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Non-Hermitian Fabry-Perot Resonances in a PT-symmetric system
• Topological Flat Band and Parity-Time Symmetry in a Honeycomb Lattice of Coupled Resonant Optical Waveguides
• Eigenstate clustering around exceptional points
• Macroscopic Zeno effect in Su-Schrieffer-Heeger photonic topological insulator
• Topological states at exceptional points
• Bulk--Boundary Correspondence and Boundary Zero Modes in a Non-Hermitian Kitaev Chain Model
• Phase Diagram of a Non-Hermitian Chern Insulator: Destabilization of Chiral Edge States and Bulk-Boundary Correspondence
• Fundamental issues with light propagation through $\mathcal{P}\mathcal{T}$-symmetric systems
• Robust interface-state laser in non-Hermitian micro-resonator arrays