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 generate translationally invariant systems exhibiting many-body localization from all-
bands-flat single-particle lattice Hamiltonians dressed with suitable short-range many-body …

Dispersionless bands, flat bands, provide an excellent test bed for novel physical phases
due to the fine-tuned character of flat band tight-binding Hamiltonians. The accompanying …

The band structure of some translationally invariant lattice Hamiltonians contains strictly
dispersionless flat bands (FB). These are induced by destructive interference and typically …

The interplay of π-flux and lattice geometry can yield full localization of quantum dynamics in
lattice systems, a striking interference phenomenon known as Aharonov-Bohm caging. At …

We propose a scheme to realize parity-time (PT) symmetric photonic Lieb lattices of ribbon
shape and complex couplings, thereby demonstrating the higher-order exceptional point …

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 study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a
diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the …

We consider a model for a cross-stitch lattice with onsite nonlinearity. The linear analysis
and the determination of the homoclinic threshold for this model are carried out theoretically …

Flat bands—dispersionless bands—have been actively studied thanks to their sensitivity to
perturbations, which makes them natural candidates for hosting novel and exotic states of …