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Information × Registration Number 0221U105814, 0120U104229 , R & D reports Title Quantum phenomena in the interaction of electromagnetic waves with solid-state nanostructures popup.stage_title Head Yampolsky Valerii O., Доктор фізико-математичних наук Registration Date 02-09-2021 Organization O. Ya. Usikov Institute for Radiophysics and Electronics NAS of Ukraine popup.description2 During the implementation of this part of the project the following theoretical works were carried out. Phase transitions in a quasi-one-dimensional system of interacting spinless electrons are determined and it is shown that for certain parameters of the system less probable unit cell arrangement with period 3 has lower ground state energy than arrangement with period 2. Dependences of the system energy on asymmetry of external potential for different parameters are plotted. Analytical expressions for the thermal Coulomb resistance in a system of two quantum wires containing one-dimensional electron crystals are also obtained, and its dependences on the system parameters are analyzed. In particular, the characteristic temperatures that determine the shape of the temperature dependence of the Coulomb resistance are revealed. In addition, an original method for the theoretical description of the propagation of surface electromagnetic waves and the calculation of the leakage field (radiation) that occurs when scattering on random impedance inhomogeneities has been developed. Using the developed method, the radiation field pattern is calculated and it is shown that in the model of dissipative metal the incident plasmon-polariton is completely reflected from the perturbed area of the surface in the opposite direction, regardless of the conditions for Anderson localization. The effect of random component on the properties of p-polarized inhomogeneous electromagnetic waves, which propagate along the layers in a randomly modulated dielectric and are localized in the perpendicular direction, has also been studied. It is shown that for inhomogeneous waves with fixed values of frequency and wave number, random inhomogeneity causes a weakening of localization. For plasmon polaritons, the Anderson localization changes the dispersion law, as a result the localization depth changes in different ways, depending on which parameter, frequency or wave number, is fixed. Product Description popup.authors Apostolov Stanislav S. Kadyhrob Dmytro V Kvitka Nina M. Rokhmanova Tetiana M Tarasov Yurii V Yakovenko Volodymyr Mefodiiovych popup.nrat_date 2021-09-02 Close