Stable topological edge states in a non-Hermitian four-band model

Abstract

We introduce a one dimensional non-Hermitian four band tight binding lattice system. We find stable topological edge states protected by particle-hole and parity-time symmetries. We show that topological phase appears in the system. We discuss that the system can also be used as a topological laser if the gain and loss positions in a unit cell are judiciously arranged.

To appear in Phys. Rev. A

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• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
• Realizing exceptional points of any order in the presence of symmetry
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
• Topological theory of non-Hermitian photonic systems
• $\mathcal{P}\mathcal{T}$-Symmetric Topological Edge-Gain Effect
• Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
• Non-Hermitian anomalous skin effect
• Spontaneous topological pumping in non-Hermitian systems
• Spontaneously Broken Particle-Hole Symmetry in Photonic Graphene with Gain and Loss
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Symmetry-protected localized states at defects in non-Hermitian systems
• Anomalous features of non-Hermitian topological states
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Hilbert space fragmentation imposed real spectrum of non-Hermitian systems
• Visualizing Topology of Real-Energy Gapless Phase Arising from Exceptional Point
• Topological states at exceptional points
• Non-Hermitian tuned topological band gap
• Emergent Non-Hermitian Edge Polarisation in an Hermitian Tight-binding Model