Coherent Transmission Coefficients Research Articles

MAGNONS HEAT TRANSPORT AT AN INTEGRATED NANOSTRUCTURE IN ULTRATHIN HEISENBERG FERROMAGNETIC FILMS

A theoretical model is presented for the study of magnons heat transfer across an integrated nanostructure acting as interface material between two ultrathin Heisenberg ferromagnetic films. This is done by calculating the transmission rates of the spin wave modes through the consideration of the magnon group velocity modification in the system. The group velocities are calculated explicitly for all propagating frequencies and spin wave incidence angles. The matching method is used with nearest neighbor ferromagnetic interactions to calculate the coherent transmission coefficients for magnons incident on the nanostructure boundaries. They are investigated for different nanostructure thickness over the entire propagating frequency range of the system, in order to calculate the heat transport across the nanostructure. The model is applied to a system of three Iron ferromagnetic atomic layers and Gadolinium integrated nanostructure. The thermal conductivities are numerically calculated for individual magnon modes of the system. The results yield an understanding of the relationship between the magnons thermal conductivity of the system and the structural configuration of the integrated nanostructure.

Coherent transmission and angular structure of light scattering by monolayer films of polymer dispersed liquid crystals with inhomogeneous boundary conditions

We consider monolayer polymer films with oriented droplets of a nematic liquid crystal (LC). Relations for the coherent transmission coefficients of a layer of oriented ellipsoidal droplets and for the intensity of light scattered by monolayers of spherical and spheroidal droplets have been obtained. The amplitude-phase screen model and the interference approximation of the theory of multiple wave scattering have been used. To describe light scattering by an individual ellipsoidal droplet with inhomogeneous surface binding, we have developed an anomalous diffraction approximation. For monolayers of spherical LC droplets, the coherent scattering coefficients and the angular scattering structure have been analyzed. The internal structure of nematic droplets have been calculated by the relaxation method based on the solution of the minimization problem of the free energy volume density. We have studied basic regular features of light scattering by a monolayer with homogeneous and inhomogeneous boundary conditions at the LC-polymer interface. We show that, for films that contain droplets with inhomogeneous boundary conditions of the tangentially normal type, the angular structure of the scattered light is asymmetric with respect to the polar scattering angle.

Reconstruction of the order parameter of oriented liquid crystal droplets

An optical method is proposed to reconstruct the order parameter for liquid crystal droplets with rigidly fixed poles. The method is based on measurements of the coherent transmission coefficient of a oneatom layer (monolayer) of polymer-dispersed liquid crystal droplets and on comparison with the results of the solution of the direct problem. In solving the direct problem for determining the coherent transmission coefficient of the polymer-dispersed liquid crystal monolayer, the anomalous diffraction approximation and the approximation of the effective refractive indices for liquid crystal droplets were used. The capabilities of the method are illustrated by the reconstruction of one component of the diagonal tensor of the droplet order parameter.

Order parameter of elongated liquid crystal droplets: The method of retrieval by the coherent transmittance data

The inverse light-scattering problem for polymer dispersed liquid crystal film is considered. An optical method to retrieve the tensor order parameter of liquid crystal droplets arranged in a monolayer has been developed. The method is based on the measurement of coherent transmission coefficients of film at normal illumination and comparison with the results of the direct light-scattering problem solution. To find the coherent transmission coefficient, the anomalous diffraction approach, and the approximation of effective refractive indices are used. The dependence of the tensor order parameter on the applied voltage for elongated liquid crystal droplets with the rigidly fixed poles is retrieved by the available experimental data. The obtained results are in correlation with the results of known visual observations of liquid crystal droplet structure and calculations of the director field in droplets with rigidly-fixed poles.

Analytical results on ballistic transport in a periodic molecular wire

In this paper, we study the coherent electronic transport of a periodic quantum wire (P-QW) such as poly-acetylene connected to uniform metallic leads, within the tight-binding (TB) approach and in the ballistic regime. We have calculated the Green’s function (GF), density of states (DOS) and the coherent transmission coefficient (TC) fully exactly for a quantum wire. The quasi gap and the energy and wire-length dependence of the GF and conductance for the system are also derived. Finally, we obtain a non-linear equation which gives the bound state energies. Our calculation can be generalized to arbitrary leads and can be applied to molecular wires, polymers, nanocrystals, where results may be useful in designing future molecular electronic devices.

Coherent conductance in an alternating dot: exact results

In this paper we have calculated the conductance of a periodic quantum dot attached to metallic leads, within the tight-binding (TB) model and in the ballistic regime. We have calculated the Green's function (GF), density of states (DOS) and the coherent transmission coefficient (TC) fully analytically for an alternating quantum dot (A-QD). The quasi-gap, bound states energies, the energy and dot-size dependence of the GF and conductance for the system are also derived. Finally, we show analytically the conductance can be switched between insulating (OFF) and conducting (ON) states by applying a gate voltage.

Some analytical results in phase coherent transport in quantum wire

A quantum wire of uniform cross section (but with eventual disorder) with three regions: dot, left lead, and right lead, is considered. Assuming that the same unitary transformation diagonalizes all unit cells of this wire, we propose a new method for the calculation of the Green's function (GF) and the coherent transmission coefficient. In particular, the problem of a uniform dot (simple cubic uniform dot attached to the simple cubic wire), with all onsites equal and all hoppings equal is solved fully analytically. The energy and dot-length dependence of the GF, local density of states (LDOS), the transmission coefficient and bound state energies are also derived.

Phase change of a plane wave propagating through polymer dispersed liquid crystal film with nanosized droplets

The coherent field propagation in a polymer dispersed liquid crystal layer is described using a method based on the Foldy-Twersky integral equation for the vector case. Expressions for a polarization-independent phase shift and the coherent transmission coefficient of such a layer containing nanodimensional nematic liquid crystal droplets are obtained. Theoretical results for the phase shift are compared to the available experimental data.

Aharonov–Bohm effect in the coulomb-blockade regime

The phase coherency in the current through a strongly correlated quantum dot is studied theoretically by calculating the amplitude and phase of the coherent transmission coefficient through a single level in the dot. The result is compared with the recent experiment in a four-terminal Aharonov–Bohm (AB) configuration. Another definition of the phase coherency, which is proportional to the transmission probability calculated from the coherent transmission coefficient, is introduced and shown to be different in magnitude from the one calculated from the AB conductance oscillations at temperatures much higher than the level broadening.

Novel results for quasiclassical linear transport in metallic multilayers.

We analyze the linear transport behavior of metallic multilayers via the Kubo formula for a Hamiltonian with zero-range spin-dependent potentials. We find a direct connection between the Boltzmann and the Kubo approaches. Our two-point transport theory validates the quasiclassical approach for multilayered structures and introduces a new treatment of interfaces via angle-dependent coherent transmission coefficients.