The transport properties of disordered solids have been the subject of much work since at
least the 1950s, but with a new burst of activity during the 1980s which has survived up to …

Publisher Summary Quantum transport is conveniently studied in a two-dimensional
electron gas (2DEG) because of the combination of a large Fermi wavelength and large …

This textbook offers the first unified treatment of wave propagation in electronic and
electromagnetic systems and introduces readers to the essentials of the transfer matrix …

One-dimensional quasiperiodic systems with power-law hopping, 1/ra, differ from both the
standard Aubry-André (AA) model and from power-law systems with uncorrelated disorder …

We review some of the recent surprising theoretical and experimental results obtained on
the transport properties of small disordered metal samples. Even in the presence of disorder …

Statistical analysis of the eigenfunctions of the Anderson tight-binding model with on-site
disorder on regular random graphs strongly suggests that the extended states are …

We develop a novel analytical approach to the problem of single particle localization in
infinite dimensional spaces such as Bethe lattice and random regular graph models. The …

We study the localization-delocalization transition of Floquet eigenstates in a driven
fermionic chain with an incommensurate Aubry-André potential and a hopping amplitude …

The transport of excitations between pinned particles in many physical systems may be
mapped to single-particle models with power-law hopping, 1/ra. For randomly spaced …

We consider the unfolded spectra of disordered systems with the topology of a ring, in the
presence of an Aharonov-Bohm flux. We study the flux dependence of a single energy level …