The main results
in the theory of disordered systems include the developement of mathematically correct perturbation theory for electromagnitic Green function at rough surfaces and the investigation of the quantum corrections to transport of two-dimensional excitons in magnetic field. It was shown that despite total charge-neutrality of these composite particles, weak localization effects are suppressed and the diffusion constant remains finite even without non-elastic phase-breaking processes.
The effect of strong deviations from the initial spectrum was predicted for some STM experiments due to the formation of a localized state near the microscope tip both for semiconductors and superconductors.
For strongly correlated systems specific features of temperature graph technique for the Hubbard model with infinite U based on the "slave-particle" approach was investigated and an explicit form for the generating function was obtained.
A model for multi-layer superconductors was developed , which takes into account symmetry properties of atomic orbitals. The model can explain order parameter symmetry peculiarities observed in HTSC.