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 …

Flat bands–single-particle energy bands–in tight-binding lattices, aka networks, have
attracted attention due to the presence of macroscopic degeneracies and their sensitivity to …

In this work, we investigate the Anderson localization problems of the generalized Aubry-
André model (Ganeshan-Pixley-Das Sarma's model) with an unbounded quasiperiodic …

We demonstrate the first experimental realization of a dispersionless state, in a photonic
Lieb lattice formed by an array of optical waveguides. This engineered lattice supports three …

We present the first experimental demonstration of a new type of localized state in the
continuum, namely, compacton-like linear states in flat-band lattices. To this end, we employ …

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 …

We demonstrate the existence of generalized Aubry-André self-duality in a class of non-
Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the …

We report on the engineering of a nondispersive (flat) energy band in a geometrically
frustrated lattice of micropillar optical cavities. By taking advantage of the non-Hermitian …

We investigate localization properties in a family of deterministic (ie, no disorder) nearest
neighbor tight binding models with quasiperiodic on site modulation. We prove that this …

Non-Bloch-band theory describes bulk energy spectra and topological invariants in non-
Hermitian crystals with open boundaries, where the bulk eigenstates are squeezed toward …