Macroscopically degenerate flat bands (FB) in periodic lattices host compact localized states
which appear due to destructive interference and local symmetry. Interference provides a …

We discuss recent research on quantum transport in complex materials, from photosynthetic
light-harvesting complexes to photonic circuits. We identify finite, disordered networks as the …

In one-dimensional Hermitian tight-binding models, mobility edges separating extended and
localized states can appear in the presence of properly engineered quasiperiodical …

We prove that a suitable correlation between system parameters can trigger topological
phase transitions and flat bands in a multistrand Creutz ladder network when a staggered …

We establish a general mechanism for highly efficient quantum transport through finite,
disordered 3D networks. It relies on the interplay of disorder with centrosymmetry and a …

We study the Anderson localization of atomic gases exposed to simple-cubic optical lattices
with a superimposed disordered speckle pattern. The two mobility edges in the first band …

We study Anderson localization in graphene with short-range disorder using the real-space
Kubo-Greenwood method implemented on graphics processing units. Two models of short …

We study an entanglement transfer protocol in a two-leg ladder spin-1/2 chain in the
presence of disorder. In the scenario where the on-site energies and intrachain couplings …

The Bose-Einstein condensation of noninteracting particles restricted to move on the sites of
hierarchical diamond lattices is investigated. Using a tight-binding single-particle …

It is shown that an entire class of off-diagonally disordered linear lattices composed of two
basic building blocks and described within a tight-binding model can be tailored to generate …