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 …

On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore
lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely …

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 …

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 …

We investigate the properties of the Lieb lattice, that is, a face-centered square lattice,
subjected to external gauge fields. We show that an Abelian gauge field leads to a peculiar …

In a flat Bloch band, the kinetic energy is quenched and single particles cannot propagate
since they are localized due to destructive interference. Whether this remains true in the …

We study the effect of quasiperiodic Aubry-André disorder on the energy spectrum and
eigenstates of a one-dimensional all-band-flat (ABF) diamond chain. The ABF diamond …

We study flat bands in bipartite tight-binding networks with discrete translational invariance.
Chiral flat bands with chiral symmetry eigenenergy E= 0 and host compact localized …

We study a one-dimensional Josephson-junction chain embedded in a magnetic field. We
show that, when the magnetic flux per elementary loop equals half the superconducting flux …

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 …