Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model

Abstract

A non-Hermitian topological insulator with real spectrum is interesting in the theory of non-Hermitian extension of topological systems. We find an experimentally realizable example of a two dimensional non-Hermitian topological insulator with real spectrum. We consider two-dimensional Su-Schrieffer-Heeger (SSH) model with gain and loss. We introduce non-Hermitian polarization vector to explore topological phase and show that topological edge states in the band gap exist in the system.

References in corpus (7)

• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Novel Topological Phase with Zero Berry Curvature
• New topological invariants in non-Hermitian systems
• Topological phase in a non-Hermitian PT symmetric system
• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• Spontaneous topological pumping in non-Hermitian systems