http://dspace.nbuv.gov.ua:80/handle/123456789/116167 2026-04-11T12:44:18Z http://dspace.nbuv.gov.ua:80/handle/123456789/117567 Luttinger liquid and polaronic effects in electron transport through a molecular transistor Skorobagat’ko, G.A.; Krive, I.V. Electron transport through a single-level quantum weakly dot coupled to Luttinger liquid leads is considered in the master equation approach. It is shown that for a weak or moderately strong interaction the differential conductance demonstrates resonant-like behavior as a function of bias and gate voltages. The inelastic channels associated with vibron-assisted electron tunnelling can even dominate electron transport for a certain region of interaction strength. In the limit of strong interaction resonant behavior disappears and the differential conductance scales as a power low on temperature (linear regime) or on bias voltage (nonlinear regime). 2008-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/117566 Microwave induced forward scattering and Luttinger liquid interferences in magnetically confined quantum wires Nogaret, Alain; Portal, Jean-Claude; Beere, H.E.; Ritchie, D.A.; Phillips, Chris We report on the photoresistance of a magnetic quantum wire obtained by applying a gradient of magnetic field to a two-dimensional electron gas. Electron transmission through the magnetic wire increases by an order of magnitude under microwave irradiation and exhibits frequency dependent magneto-oscillations as a function of the in plane magnetic field. Both results are fully consistent with microwave coupled Luttinger liquid edge channels which interfere at two pinning sites in the fashion of a Mach–Zehnder interferometer. 2008-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/117565 Index of refraction of a photonic crystal of carbon nanotubes and homogenization of optically anisotropic periodic composites Gumen, L.N.; Krokhin, A.A. We consider the long-wavelength limit for a periodic arrangement of carbon nanotubes. Using the Fourier expansion method we develop an effective-medium theory for photonic crystal of aligned optically anisotropic cylinders. Exact analytical formulas for the effective dielectric constants for the E and H eigenmodes are obtained for arbitrary 2D Bravais lattice and arbitrary cross-section of anisotropic cylinders. It is shown that depending on the symmetry of the unit cell photonic crystal of anisotropic cylinders behaves in the low-frequency limit like uniaxial or biaxial optical crystal. The developed theory of homogenization is in a good agreement with existing experimental results for the dielectric tensor of photonic crystals of carbon nanotubes. 2008-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/117564 Semiclassical approach to the description of the basic properties of nanoobjects Kornyushin, Y. Present paper is a review of results, obtained in the framework of semiclassical approach in nanophysics. Semiclassical description, based on Electrostatics and Thomas–Fermi model was applied to calculate dimensions of the electronic shell of a fullerene molecule and a carbon nanotube. This simplified approach yields surprisingly accurate results in some cases. Semiclassical approach provides rather good description of the dimensions of the electronic shell of a fullerene molecule. Two types of dipole oscillations in a fullerene molecule were considered and their frequencies were calculated. Similar calculations were performed for a carbon nanotube also. These results look rather reasonable. Three types of dipole oscillations in carbon nanotube were considered and their frequencies were calculated. Frequencies of the longitudinal collective oscillations of delocalized electrons in carbon peapod were calculated as well. Metallic cluster was modeled as a spherical ball. It was shown that metallic cluster is stable; its bulk modulus and the frequency of the dipole oscillation of the electronic shell relative to the ions were calculated. 2008-01-01T00:00:00Z