In the last, but not the least direction
"Interplay of correlations and localization in long-range disordered systems" the main focus is on the localization effects in various long-range models (e.g., dipolar ones) which are relevant as for the
experimental realizations in trapped ions and ultracold atoms as for the
transistors in state-of-art computers.
The latter
are already close to the limit of the fully quantum transport and therefore are subjected to the
disorder effects localizing electrons in
thin films and narrow wires at any impurity concentration. Only due to
electron-photon and electron-phonon
scattering charges can still propagate at long-range distances in such wires and overcome localization effects. However, the
correlations, anisotropy and time-reversal symmetry
in long-range electron hopping crucially affect localization properties and may even localize almost all states in the system. This is the main topic of the above direction.