Parsing skin effect in a non-Hermitian spinless BHZ-like model

Abstract

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates NHSE. However, we show that there are exceptions, and more in-depth analyses are required to decode the presence of NHSE or its variants in a system. The fascinating aspects of our findings, depending on the inclusion of non-reciprocity in the inter-orbital hopping terms, concede the existence of conventional NHSE or NHSE at both edges and even a surprising absence of NHSE. The topological properties and the (bi-orthogonal) bulk-boundary correspondence, enumerated via computation of the (complex) Berry phase and spatial localization of the edge modes, highlight the topological phase transitions occurring therein. Further, to facilitate a structured discussion of the non-Hermitian model, we split the results into PT symmetric and non-PT symmetric cases with a view to comparing the two.

Accepted in Journal of Physics: Condensed Matter; 14 pages, 15 figures, and 1 table

References in corpus (13)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• The physics of exceptional points
• Topological Origin of Non-Hermitian Skin Effects
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• New topological invariants in non-Hermitian systems
• Acoustic non-Hermitian skin effect from twisted winding topology
• Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Exceptional points in quantum and classical dynamics
• Symmetric non-Hermitian skin effect with emergent nonlocal correspondence
• Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry

Cited by in corpus (3)

• Localized states and skin effect around non-Hermitian impurities in tight-binding models
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits