Tarasov Y. Dynamic localization and wave transport in open disordered structures

The effects of dynamic localization of classical waves and quantum particles in disordered systems of reduced dimensions are studied theoretically. The problem is solved on spatial localization and fluctuation waveguiding of waves radiated by point sources in randomly layered media. Geometrical oscillations of conductivity and of elastic moduli of one-dimensional disordered metals are predicted, which result from electron hoppings between long-separated quasi-localized states. A theory is developed for temperature dependence of conductivity of 1D systems in the range of temperatures small compared to the activation energy of localized electrons. A novel physical mechanism of quantum particles scattering at random rough surfaces is predicted, with regard of which a theory is developed for static conductance of one-mode metallic wires having statistically rough side boundaries. The method for separation of transverse-quantization modes in open waveguide-type systems subject to arbitrary static potentialis developed. The conductance of two-dimensional weakly disordered Fermi systems at zero temperature is calculated, wherein the lack of localized regime of electron transport is proved. A theory is developed for the "metal-insulator" quantum phase transition in quasi-two-dimensional systems under the change in flat concentration of current carriers and under the action of classically weak parallel magnetic field.