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 …

We study the effect of quasiperiodic perturbations on one-dimensional all-bands-flat lattice
models. Such networks can be diagonalized by a finite sequence of local unitary …

We generate compact localized states (CLSs) in an electrical diamond lattice, comprised of
only capacitors and inductors, via local driving near its flat-band frequency. We compare …

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 …

One-dimensional all-bands-flat lattices are networks with all bands being flat and highly
degenerate. They can always be diagonalized by a finite sequence of local unitary …

We study the effects of quasiperiodic Aubry-André (AA) disorder and interactions on a one-
dimensional all-bands-flat (ABF) diamond chain. We consider the application of disorder in …

We study the broadening of initially localized wave packets in a quasi one-dimensional
diamond ladder with interacting, spinless fermions. The lattice possesses a flat band …

We study the transport of interacting bosons through an Aharonov-Bohm cage—a building
block of flat-band networks—with coherent pump and sink leads. In the absence of …

The presence of flat bands is a source of localization in lattice systems. While flat bands are
often unstable with respect to interactions between the particles, they can persist in certain …

We investigate one-dimensional (1D) and 2D cross-stitch lattices with hard-core bosons and
analytically construct exact ground states that feature macroscopic degeneracy. The …