Document Type
Article
Publication Date
7-2022
Abstract
In one-dimensional Hermitian tight-binding models, mobility edges separating extended and localized states can appear in the presence of properly engineered quasiperiodical potentials and coupling constants. On the other hand, mobility edges do not exist in a one-dimensional Anderson lattice since localization occurs whenever a diagonal disorder through random numbers is introduced. Here we consider a nonreciprocal non-Hermitian lattice and show that the coexistence of extended and localized states appears with or without diagonal disorder in the topologically nontrivial region. We discuss that the mobility edges appear basically due to the boundary condition sensitivity of the nonreciprocal non-Hermitian lattice.
Recommended Citation
Yuce, Cem, and Hamidreza Ramezani. 2022. “Coexistence of Extended and Localized States in the One-Dimensional Non-Hermitian Anderson Model.” Phys. Rev. B 106 (2): 024202. https://doi.org/10.1103/PhysRevB.106.024202.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Title
Physical Review B
DOI
10.1103/PhysRevB.106.024202
Comments
©2022 American Physical Society. Original published version available at https://doi.org/10.1103/PhysRevB.106.024202