Artificial flat band systems: from lattice models to experiments
Certain lattice wave systems in translationally invariant settings have one or more spectral
bands that are strictly flat or independent of momentum in the tight binding approximation …
bands that are strictly flat or independent of momentum in the tight binding approximation …
Photonic flat-band lattices and unconventional light localization
Flat-band systems have attracted considerable interest in different branches of physics in the
past decades, providing a flexible platform for studying fundamental phenomena associated …
past decades, providing a flexible platform for studying fundamental phenomena associated …
Topology and Interactions in the Photonic Creutz and Creutz‐Hubbard Ladders
The latest advances in the field of photonics have enabled the simulation of an increasing
number of quantum models in photonic systems, turning them into an important tool for …
number of quantum models in photonic systems, turning them into an important tool for …
Entanglement entropy of non-Hermitian free fermions
We study the entanglement properties of non-Hermitian free fermionic models with
translation symmetry using the correlation matrix technique. Our results show that the …
translation symmetry using the correlation matrix technique. Our results show that the …
-root weak, Chern, and higher-order topological insulators, and -root topological semimetals
AM Marques, RG Dias - Physical Review B, 2021 - APS
Recently, we have introduced [AM Marques, Phys. Rev. B 103, 235425 (2021) 2469-9950
10.1103/PhysRevB. 103.235425] the concept of 2 n-root topology and applied it to one …
10.1103/PhysRevB. 103.235425] the concept of 2 n-root topology and applied it to one …
[HTML][HTML] Fractal-like photonic lattices and localized states arising from singular and nonsingular flatbands
We experimentally realize fractal-like photonic lattices by use of the cw-laser-writing
technique, thereby observing distinct compact localized states (CLSs) associated with …
technique, thereby observing distinct compact localized states (CLSs) associated with …
Flat band induced metal-insulator transitions for weak magnetic flux and spin-orbit disorder
We consider manifolds of tunable all-bands-flat (ABF) lattices in dimensions d= 1, 2,
parameterized by a manifold angle parameter θ. We study localization properties of …
parameterized by a manifold angle parameter θ. We study localization properties of …
Properties of eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
We report on experimental studies that were performed with a microwave Dirac billiard (DB),
that is, a flat resonator containing metallic cylinders arranged on a triangular grid, whose …
that is, a flat resonator containing metallic cylinders arranged on a triangular grid, whose …
Unveiling the link between fractional Schrödinger equation and light propagation in honeycomb lattice
D Zhang, Y Zhang, Z Zhang, N Ahmed… - Annalen der …, 2017 - Wiley Online Library
We suggest a real physical system—the honeycomb lattice—as a possible realization of the
fractional Schrödinger equation (FSE) system, through utilization of the Dirac‐Weyl equation …
fractional Schrödinger equation (FSE) system, through utilization of the Dirac‐Weyl equation …
Graphene billiards with fourfold symmetry
We report on the realization of a graphene billiard with a fourfold rotational symmetry, which
has the shape of a billiard with chaotic classical dynamics. The eigenstates are separated …
has the shape of a billiard with chaotic classical dynamics. The eigenstates are separated …