Interplay of non-Hermitian skin effects and Anderson localization in nonreciprocal quasiperiodic lattices
By Hui Jiang, Lionel Lang, Chao Yang, Shi-Liang Zhu, Shu Chen. Physical review B, 2019
257 citations recorded by the source corpus.
Non-Hermiticity from nonreciprocal hoppings has been shown recently to demonstrate the non-Hermitian skin effect (NHSE) under open boundary conditions (OBCs). Here we study the interplay of this effect and the Anderson localization (AL) in a nonreciprocal quasiperiodic lattice, dubbed nonreciprocal Aubry-Andr\'e model, and a rescaled transition point is exactly proved. The nonreciprocity can induce not only NHSEs but also the asymmetry in localized states, characterized by two Lyapunov exponents. Meanwhile, this transition is also topological, in the sense of a winding number associated with complex eigenenergies under periodic boundary conditions (PBCs), establishing a bulk-bulk correspondence. This interplay can be realized straightforwardly by an electrical circuit with only linear passive RLC components instead of elusive nonreciprocal ones, showing the transport of a continuous wave undergoes a transition between insulating and amplifying. This paradigmatic scheme can be immediately accessed in experiments even for more nonreciprocal models and will definitely inspire the study of interplay of NHSEs and ALs as well as more other quantum/topological phenomena in various systems.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b1ce52359bad20f1f45bfe21740609c394433dec
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
- Xiujuan Zhang
- Yan-Feng Chen
- Ming-Hui Lu
- Tian Zhang
- Alexander Szameit
- R. Thomale
- S. Longhi
- Flore K. Kunst
In Statistical and Nonlinear Physics
Citations in the corpus
- A review on non-Hermitian skin effect (2022, methodology): “Some typical signatures include the localizations for an extensive number of bulk states, the breakdown of the conventional BBC and the defectiveness of the edge modes.”
- Topological funneling of light (2020, result): “erial). This is in contrast to theoretical works of similar but more complex settings, where the transition from the nonHermitian skin effect to Anderson modulation - undergoes a delocalization phase (37). In our work, we experi mentally demonstrated that the bulk eigenmodes of non- Hermitian system”