Symmetry breaking and spectral structure of the interacting Hatano-Nelson model

SB Zhang, MM Denner, T Bzdušek, MA Sentef… - Physical review B, 2022 - APS
We study the Hatano-Nelson model, ie, a one-dimensional non-Hermitian chain of spinless
fermions with nearest-neighbor nonreciprocal hopping, in the presence of repulsive nearest …

Perspective on topological states of non-Hermitian lattices

LEFF Torres - Journal of Physics: Materials, 2019 - iopscience.iop.org
The search of topological states in non-Hermitian systems has gained a strong momentum
over the last two years climbing to the level of an emergent research front. In this perspective …

Edge states in a non-Hermitian chiral lattice

Y Tian, Z Tan, W Zhang, X Han, C Cho - International Journal of …, 2022 - Elsevier
Non-Hermiticity can alter the topological properties of energy bands and drive topologically
trivial systems with Hermitian limits to generate nontrivial topological edge states …

Hermitian and non-hermitian higher-order topological states in mechanical metamaterials

Y Tian, Z Tan, W Zhang - European Journal of Mechanics-A/Solids, 2024 - Elsevier
Higher-order topological insulators exhibit clear hierarchical boundary states, providing an
amazing platform for robust wave manipulations in mechanical or acoustic systems …

From scale-free to Anderson localization: a size-dependent transition

B Yılmaz, C Yuce, C Bulutay - arXiv preprint arXiv:2411.00389, 2024 - arxiv.org
Scale-free localization in non-Hermitian systems is a distinctive type of localization where
the localization length of certain eigenstates, known as scale-free localized (SFL) states …

Topological split-ring resonator based metamaterials with symmetry relying on gain and loss

N Lazarides, GP Tsironis - Physical Review B, 2020 - APS
A one-dimensional metamaterial with parity-time (PT) symmetry that relies on balanced gain
and loss is introduced, comprising magnetically coupled split-ring resonators (SRRs). A …

[PDF][PDF] Anderson localization in non-hermitian systems: skin effect and scale-free localization

B Yılmaz - Ph. D. Thesis, 2024 - repository.bilkent.edu.tr
Localization properties of eigenstates change according to the lattice model. A Hatano-
Nelson model with asymmetric hopping constants exhibit non-Hermitian skin effect (NHSE) …

Nonorientability-induced phase transition in ladder lattices

JW Ryu, N Myoung, M Hentschel, HC Park - Physical Review A, 2021 - APS
We study parity-time (PT) phase transitions in the energy spectra of ladder lattices caused by
the interplay between nonorientability and non-Hermitian PT symmetry. The energy spectra …

Non-orientability induced PT phase transition in Moebius ladder lattices

JW Ryu, N Myoung, M Hentschel, HC Park - arXiv preprint arXiv …, 2020 - arxiv.org
We study parity-time (PT) phase transitions in the energy spectra of ladder lattices caused by
the interplay between non-orientability and non-Hermitian PT symmetry. The energy spectra …