Electronic Structure and Transport Properties of Co/Ni Superlattices

We have studied the transport properties of Co/Ni superlattices, grown along the (111) direction of a face centered cubic lattice on the basis of the ab initio electronic structure calculated by the linear muffin-tin orbitals method. It was found that the density of states at the Fermi level for the minority spin shows oscillations as a function of the individual layer thickness. Within the approach based on the Boltzmann equation including the spin mixing, it was shown that these oscillations in the density of states can cause oscillations of the conductivity as obtained experimentally.     

Wide tuning characteristics of double-ring coupled lasers

The wide tuning characteristics of double-ring coupled lasers with/without an extended waveguide are analyzed and optimized using the scattering matrix formalism. To obtain the optimum design schemes of the tunable laser diodes, the cross coupling ratios of two rings, the tuning enhancement factor, the propagation loss of passive waveguides, the optical gain of an active region, and the back and front-facet reflectivity of the waveguide are taken into account. When the coupling ratio of the ring and input/output waveguides is fixed, the extinction ratio and the linewidth are decreased as the tuning enhancement factor is increased, while the tuning range is increased.     

A retrospective view on: “Testing scattering matrices: A compendium of recipes”

The elements of matrices relevant to polarized light transfer often obey certain equalities and inequalities that can be used for testing purposes. As an introduction to the reprint of our paper (Hovenier and van der Mee, 1996 [7]) we first present the case history and significance of this paper and then discuss some later developments.     

Ge_xSi_(1-x)/Si超晶格中周期不均匀对折叠声学声子拉曼线宽的影响

本文报导了在 Ge_Si_(1-x)/Si 超晶格中观察到了超晶格周期不均匀导致的折叠声学声子拉曼谱线展宽,这种谱线展宽与折叠指数(m)有关,折叠声学声子的谱线越宽,m 相同的折叠声学声子具有相同的线宽。     

Effect of pressure and temperature on spin-dependent tunneling in InAs/GaAs heterostructure with Dresselhaus spin-orbit interaction

Using the transfer matrix, spin-dependent electron tunneling was studied in InAs/GaAs double barrier symmetrical heterostructure. The effect of Dresselhaus spin-orbit interaction in this system was analysed as a function of pressure and temperature. Both pressure and temperature influences the polarization efficiency, barrier transparency and dwell time of electrons. The increasing pressure increases polarization efficiency, tunneling life time and dwell time of electrons, where as the increasing temperature decreases the same parameters. The results might be helpful for the fabrication of spin-devices.     

Correlation lengths in quasi-one-dimensional systems via transfer matrices

ABSTRACT

Using transfer matrices up to next-nearest-neighbour interactions, we examine the structural correlations of quasi-one-dimensional systems of hard disks confined by two parallel lines and hard spheres confined in cylinders. Simulations have shown that the non-monotonic and non-smooth growth of the correlation length in these systems accompanies structural crossovers [Fu et al., Soft Matter 13, 3296 (2017)]. Here, we identify the theoretical basis for these behaviours. In particular, we associate kinks in the growth of correlation lengths with eigenvalue crossing and splitting. Understanding the origin of such structural crossovers answers questions raised by earlier studies, and thus bridges the gap between theory and simulations for these reference models.     

Scattering matrices and reflectance spectra of forsterite particles with different size distributions

We present measurements of the complete scattering matrix as a function of the scattering angle of three different samples of forsterite particles in random orientation at a wavelength of 632.8 nm. The three samples were prepared so that three different size distributions were obtained. The composition and reflection spectra of the three samples have been experimentally determined. The results indicate that the elements of the scattering matrix are affected in a different way by the size differences. Since light scattering by comets is probably caused by particles similar to our forsterite particles, the results potentially contain information on the size of the cometary particles.     

The Role of Intermixing in the Phase Determination of the Interlayer Exchange Coupling in Multilayers: Application to Fe-Cr Superlattices

The phase of the short-range interlayer exchange coupling oscillations in Fe n Cr m superlattices is expressed in terms of the intermixing at the Fe-Cr as well as at the Cr-Fe interfaces. The interdiffusion is modeled through stochastic algorithms, which presupposes floating of the atoms on the surface of the sample during the epitaxial growth. It automatically leads to the different chemical and magnetic structure of Fe on Cr and Cr on Fe interfaces. Self-consistent calculations of the magnetic moments are performed on the basis of the periodic Anderson model. Although short-range (2 monolayers (ML)) oscillations of exchange coupling were detected for all considered structures, its amplitude and phase strongly depend on the interface alloying. Introduction of the same intermixing at both interfaces does not change the phase as compared to the ideal superlattices with sharp interfaces. However different interdiffusion leads to the ~ -phase shift in accordance with experimental results for the Fe-Cr-Fe trilayers grown on an Fe whiskers. Distribution of magnetic moments on Fe atoms contains several distinct peaks but their position and relative area weakly depend on the alloying and interlayer exchange coupling in the superlattice. On the contrary, magnetic moments on Cr atoms are very sensitive to the intermixing and their behavior determines the strength and the phase of exchange coupling oscillations.     

Magnetotransport in a graphene monolayer with two tunable magnetic barriers

The magnetotransport property for a monolayer graphene with two turnable magnetic barriers has been investigated by the transfer-matrix method. We show that the parameters of barrier height, width, and interval between two barriers affect the electron wave decaying length, which determine the conductance with parallel or antiparallel magnetization configuration, and consequently the tunneling magnetoresistance (TMR) for the system. Interestingly, a graphene attached by two barriers with different heights can produce a resonant TMR peak at low energy region one order of magnitude larger than that for the system with two same height barriers because that the asymmetry of magnetic barriers block the electron transmission in the case of antiparallel magnetization configuration. The results obtained here may be useful in understanding of electron tunneling in graphene and in designing of graphene-based nanodevices.     

On normalization of scattering matrices of polarized radiation

The condition of normalization of scattering matrix is derived when the polarized radiation is described by the Stokes parameters I, Q, U, V. The normalization of the matrix is based on energy conservation. It has a probabilistic meaning also. When the scattering particle is nonspherical, scattered radiation may depend not only on the angle between incident and scattered radiation but on orientation of the scattering plane also. In these cases, the known change of the Stokes parameters Q, U of the incident radiation with respect to various scattering planes influences the normalization. The derived normalization includes all elements of the first line of scattering matrix and the characteristics of polarization of the incident radiation. Dependence on this polarization is appeared because the polarization influences intensities of scattered radiation and, therefore, is included in energy conservation. The routine normalization includes the first element of the scattering matrix only. These two normalizations determine the different normalizing constants of the scattering matrix. The simple computational example of scattering by the particle that has the shape of a finite cylinder is considered. This example shows that the values of normalizing constants of the routine normalization may considerably differ from the ones of the obtained normalization. The results of the study may be useful in various investigations of radiation scattering, especially in the cases when the scattering particles are nonspherical.     

Scattering matrices for horizontally oriented ice crystals

Scattering matrices for horizontally oriented ice crystals are calculated with a code based on the geometric optics. The main physical regularities inherent to the scattering matrices are discussed. Degree of polarization of the scattered light is shown to be a qualitative criterion of number of photon trajectories that contribute effectively to the scattered light. The inverse scattering problem of retrieving aspect ratios of the horizontally oriented hexagonal ice plates from polarization of the scattered light in the bistatic sounding scheme has been proposed and discussed.     

Cluster expansion and generalized transfer matrices for the statistical mechanics of linear chains

A cluster expansion of the statistical mechanical density operator for a general linear chain model with nearest-neighbor interactions is made. This expansion is then shown to lead to an expansion of a generalized transfer matrix, whose maximum eigenvalue is the per-site partition function. A number of computational features, as well as some illustrative examples, of this approach are described.Research supported in part by the Robert A. Welch Foundation, Houston, Texas.     

Dirac Particle in an Aharonov-Bohm Potential: The Structure of the First Order S-matrix

The structure of the interaction Hamiltonian in the first order S-matrix element of a Dirac particle in an Aharonov-Bohm (AB) field is analyzed and shown to have interesting interesting algebraic properties. It is demonstrated that as a consequence of these properties, this interaction Hamiltonian splits both the incident and outgoing waves in the the first order components (eigenstates of the third component of the spin). The matrix element can then be viewed as the sum of two transitions taking place in these two channels of the spin. At the level of partial waves, each partial wave of the conserved total angular momentum is split into two partial waves of the orbital angular momentum in a manner consistent with the conservation of the total angular momentum quantum number.     

Corner transfer matrices and conformal invariance

We study two-dimensional Ising systems at the critical point. Using conformal considerations we derive the spectrum of low-lying eigenvalues of Baxter's corner transfer matrix. Its relation to the spectrum of the usual transfer matrix, its scaling properties and the way the conformal anomaly enters, are discussed.     

Electronic transport on graphene armchair-edge nanoribbons with Fermi velocity and potential barriers

The transport properties of Dirac fermions through armchair-edge graphene nanoribbons (AGNRs) with a single and double rectangular Fermi velocity $v_F$ and electrostatic potential U barriers is investigated. We employ a transfer matrix method (TMM) to compute the transmission coefficient of the full set of propagating mode which is used to obtain the conductance and Fano factor spectra for both metallic and semiconducting nanoribbons. We show that a reduced Fermi velocity within the barrier region can partially suppress the backscattering resulting from the electrostatic potential. In a double barrier structure, the emergence of high-order transmitting modes is shown to substantially reduce the Fano factor in the spectral region around U. These results indicate that the simultaneous tuning of $v_F$ and U in barrier regions can be explored to control the electronic transport in graphene-based nanoelectronics structures.     

Loading channels of SiO 2 mesoporous matrices with Fe oxides

After embedding hematite nanowires (15 wt.% Fe) into a MCM-41 hard template, we have explored alternative routes to induce the structural transformations that lead from hematite to maghemite and magnetite embedded nanowires. The impregnation media (ethanol or water) and the calcination atmosphere (air and NO/He) on the hematite nanowires production play a significant role at the time of reducing and re-oxidizing the embedded hematite nanoparticles. The solids were characterized by X-ray diffraction, nitrogen adsorption, and Mössbauer spectroscopy. The results indicate that the effect of the solvent on the structural properties of the iron species is more important than the calcination atmosphere. The best conditions for iron magnetic nanowires not to get outside of the MCM-41 channels over the treatments are reached using water as the solvent and air as the calcination atmosphere. When ethanol is the solvent used over the preparation step, the end iron oxides are in the form of nanotubes spread out on the amorphous silica walls of the matrix.     

Families of commuting transfer matrices and integrable models with disorder

A family of commuting transfer matrices is shown to be associated to each symmetry transformation of a given Yang-Baxter algebra. This applies in lattices models and field theory.The Yang-Baxter algebra remains unchanged when an arbitrary parameter μ_l is associated to each lattice site. We generate in this way integrable one-dimensional hamiltonians with long-range couplings and disorder given by the <{;μ₁<};. These operators are lattice versions of the non-local charges in sigma models. As a simple example we get a Dzialozhinski-Moriya interaction with an arbitrary coupling per site from the six-vertex model. A similar model with a disordered magnetic field follows too. Their exact solution by an algebraic Bethe ansatz is presented. We derive the excitations spectrum in terms of the density of parameters (μ).As another application, the total spin S² is computed for a XXZ Heisenberg chain (μ_l ≡ 0) as a function of the anisotropy Δ (− ∞ < Δ < + ∞).     

Analysis of Millimeter Wave Microstrip Circulator with a Magnetized Ferrite Sphere by FDTD Method with Modified Matrix Pencil Method

In this paper, the modified matrix pencil (MMP) method is used in the finite difference time domain (FDTD) method to eliminate the late time instability of time domain responses when analyzing the novel microstrip circulator with a magnetized ferrite sphere. The frequency dependent scattering parameters: reflection, isolation and insertion parameters of the microstrip circulator calculated over a wide band of frequencies with this hybrid method are compared with that obtained by direct FDTD method which agree well with the experimental results.     

Product decompositions of depolarizing Mueller matrices with negative determinants

We show that the product decomposition of a depolarizing Mueller matrix (S.-Y. Lu, R.A. Chipman, J. Opt. Soc. Am. A 13 (1996) 1106) as well as the recently proposed reverse decomposition (R. Ossikovski, A. De Martino, Opt. Lett. 32 (2007) 689) need to be extended in order to account for Mueller matrices with negative determinants. The necessity of such an extension of the formalism is illustrated on experimentally determined Mueller matrices. The procedure of the modified decomposition formalism is explicitly described.     

Electrons scattering in the monolayer graphene with the short-range impurities

Scattering problem for electrons in monolayer graphene with short-range perturbations of the types “local chemical potential” and “local gap” has been solved. Zero gap and non-zero gap kinds of graphene are considered. The determined S-matrix can be used for calculation of such observables as conductance and optical absorption.