Non-Hermitian pseudo mobility edge in a coupled chain system

Abstract

In this work, we explore interesting consequences arising from the coupling between a clean non-Hermitian chain with skin localization and a delocalized chain of the same length under various boundary conditions (BCs). We reveal that in the ladder with weak rung coupling, the nonHermitian skin localization could induce a pseudo mobility edge in the complex energy plane, which separates states with extended and localized profiles yet allowing unidirectional transport of signals. We also demonstrate the gradual takeover of the non-Hermitian skin effect in the entire system with the increase of the rung coupling under conventional open BC. When taking open BC for the nonHermitian chain and periodic BC for the other, it is discovered that a quantized winding number defined under periodic BC could characterize the transition from the pseudo mobility edge to the trivial extended phases, establishing a "bulk-defect correspondence" in our quasi-1D non-Hermitian system. This work hence unveils more subtle properties of non-Hermitian skin effects and sheds light on the topological nature of the non-Hermitian localized modes in the proximity to systems with dissimilar localization properties.

Accepted version

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Cited by in corpus (17)

• Non-Hermitian Many-Body Localization with Open Boundaries
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Direction reversal of non-Hermitian skin effect via coherent coupling
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals
• From scale-free to Anderson localization: a size-dependent transition
• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Anomalous hybridization of spectral winding topology in quantized steady-state responses
• Many-body critical non-Hermitian skin effect
• Phase transitions in non-Hermitian superlattices
• Non-Abelian geometry, topology, and dynamics of a nonreciprocal Su-Schrieffer-Heeger ladder
• Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model