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 …

Quantum transport and localization are fundamental concepts in condensed matter physics.
It is commonly believed that in one-dimensional systems, the existence of mobility edges is …

Unlike the well-known Mott's argument that extended and localized states should not coexist
at the same energy in a generic random potential, we formulate the main principles and …

The mobility edge (ME) is a crucial concept in understanding localization physics, marking
the critical transition between extended and localized states in the energy spectrum …

The mobility edge (ME) that marks the energy separating extended and localized states is a
most important concept in understanding the metal-insulator transition induced by …

In this work we analytically explain the origin of the mobility edge in the partially disordered
random regular graphs of degree d, ie, with a fraction $\beta $ of the sites being disordered …

Quasiperiodic systems in one dimension can host nonergodic states, eg, states localized in
position or momentum. Periodic quenches within localized phases yield Floquet eigenstates …

Recent research has made significant progress in understanding localization transitions and
mobility edges (MEs) that separate extended and localized states in non-Hermitian (NH) …

Models with correlated disorders are rather common in physics. In some of them, like the
Aubry-Andr\'e (AA) model, the localization phase diagram can be found from the (self) …