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Topological physics of non-Hermitian optics and photonics: a review
The notion of non-Hermitian optics and photonics rooted in quantum mechanics and
photonic systems has recently attracted considerable attention ushering in tremendous …
photonic systems has recently attracted considerable attention ushering in tremendous …
Generalized Aubry-André self-duality and mobility edges in non-Hermitian quasiperiodic lattices
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 …
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 …
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 …
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 …
one-dimensional lattice displaying a delocalization-localization phase transition at a finite …
Coexistence of dynamical delocalization and spectral localization through stochastic dissipation
Anderson's groundbreaking discovery that the presence of stochastic imperfections in a
crystal may result in a sudden breakdown of conductivity revolutionized our understanding …
crystal may result in a sudden breakdown of conductivity revolutionized our understanding …
Non-Hermitian disorder in two-dimensional optical lattices
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 …
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 …
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 …
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 …
Hermiticity is introduced by on-site complex quasiperiodic potentials. By analyzing the PT …