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 …

Gauge fields are central in our modern understanding of physics at all scales. At the highest
energy scales known, the microscopic universe is governed by particles interacting with …

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 …

Topological Insulators are a novel state of matter where spectral bands are characterized by
quantized topological invariants. This unique quantized nonlocal property commonly …

A flatband representing a highly degenerate and dispersionless manifold state of electrons
may offer unique opportunities for the emergence of exotic quantum phases. To date …

The venerable phenomena of Anderson localization, along with the much more recent many-
body localization, both depend crucially on the presence of disorder. The latter enters either …

Giant atoms that interact with real-space waveguides at multiple spatial points have attracted
extensive attention due to their unique interference effects. Here we propose a feasible …

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 …

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 analyze the transport of light in the bulk and at the edge of photonic Lieb lattices, whose
unique feature is the existence of a flat band representing stationary states in the middle of …