Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
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 …
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 …
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
Non-Hermiticity can alter the topological properties of energy bands and drive topologically
trivial systems with Hermitian limits to generate nontrivial topological edge states …
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 …
amazing platform for robust wave manipulations in mechanical or acoustic systems …
From scale-free to Anderson localization: a size-dependent transition
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 …
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 …
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) …
Nelson model with asymmetric hopping constants exhibit non-Hermitian skin effect (NHSE) …
Nonorientability-induced phase transition in ladder lattices
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 …
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 …
the interplay between non-orientability and non-Hermitian PT symmetry. The energy spectra …