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 …

In this review article we describe spin-dependent transport in materials with spin–orbit
interaction of Rashba type. We mainly focus on semiconductor heterostructures, however we …

Aharonov-Bohm (AB) caging, a special flat-band localization mechanism, has spurred great
interest in different areas of physics. AB caging can be harnessed to explore the rich and …

The induction of synthetic magnetic fields on lattice structures allows an effective control of
their localization and transport properties. In this Letter, we generate effective π magnetic …

We report on the experimental realization of a uniform synthetic magnetic flux and the
observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of …

We experimentally demonstrate the photonic realization of a dispersionless flat band in a
quasi-one-dimensional photonic lattice fabricated by ultrafast laser inscription. In the nearest …

Lattices with dispersionless, or flat, energy bands have attracted substantial interest in part
due to the strong dependence of particle dynamics on interactions. Using superconducting …

Aharonov-Bohm caging is a localization mechanism stemming from the competition
between the geometry and the magnetic field. Originally described for a tight-binding model …

We consider two interacting particles evolving in a one-dimensional periodic structure
embedded in a magnetic field. We show that the strong localization induced by the magnetic …

We suggest a method for trapping photons in quasi-one-dimensional waveguide or coupled-
resonator lattices, which is based on an optical analogue of the Aharonov–Bohm cages for …