Topological physics of non-Hermitian optics and photonics: a review

H Wang, X Zhang, J Hua, D Lei, M Lu, Y Chen - Journal of Optics, 2021 - iopscience.iop.org
The notion of non-Hermitian optics and photonics rooted in quantum mechanics and
photonic systems has recently attracted considerable attention ushering in tremendous …

Generalized Aubry-André self-duality and mobility edges in non-Hermitian quasiperiodic lattices

T Liu, H Guo, Y Pu, S Longhi - Physical Review B, 2020 - APS
We demonstrate the existence of generalized Aubry-André self-duality in a class of non-
Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the …

Anderson transition in three-dimensional systems with non-Hermitian disorder

Y Huang, BI Shklovskii - Physical Review B, 2020 - APS
We study the Anderson transition for three-dimensional (3D) N× N× N tightly bound cubic
lattices where both real and imaginary parts of on-site energies are independent random …

Metal-insulator phase transition in a non-Hermitian Aubry-André-Harper model

S Longhi - Physical Review B, 2019 - APS
Non-Hermitian extensions of the Anderson and Aubry-André-Harper models are attracting
considerable interest as platforms to study localization phenomena, metal-insulator, and …

Phase transitions in a non-Hermitian Aubry-André-Harper model

S Longhi - Physical Review B, 2021 - APS
The Aubry-André-Harper model provides a paradigmatic example of aperiodic order in a
one-dimensional lattice displaying a delocalization-localization phase transition at a finite …

Coexistence of dynamical delocalization and spectral localization through stochastic dissipation

S Weidemann, M Kremer, S Longhi, A Szameit - Nature Photonics, 2021 - nature.com
Anderson's groundbreaking discovery that the presence of stochastic imperfections in a
crystal may result in a sudden breakdown of conductivity revolutionized our understanding …

Non-Hermitian disorder in two-dimensional optical lattices

AF Tzortzakakis, KG Makris, EN Economou - Physical Review B, 2020 - APS
In this paper, we study the properties of two-dimensional lattices in the presence of non-
Hermitian disorder. In the context of coupled mode theory, we consider random gain-loss …

Boundary-dependent self-dualities, winding numbers, and asymmetrical localization in non-Hermitian aperiodic one-dimensional models

X Cai - Physical Review B, 2021 - APS
We study a non-Hermitian Aubry-André-Harper model with both nonreciprocal hop**s and
complex quasiperiodical potentials, which is a typical non-Hermitian disordered system. We …

Anderson localization in dissipative lattices

S Longhi - Annalen der Physik, 2023 - Wiley Online Library
Anderson localization predicts that wave spreading in disordered lattices can come to a
complete halt, providing a universal mechanism for dynamical localization. In the one …

Localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with -wave pairing

X Cai - Physical Review B, 2021 - APS
We study non-Hermitian Aubry-André-Harper models with p-wave pairing, where the non-
Hermiticity is introduced by on-site complex quasiperiodic potentials. By analyzing the PT …