Steady-State Spatial Solitons in Low-Amplitude Regime in Biased Photorefractive-Photovoltaic Crystals

1　Ｉｎｔｒｏｄｕｃｔｉｏｎ　　Ｓｔｅａｄｙ ｓｔａｔｅｐｈｏｔｏｒｅｆｒａｃｔｉｖｅ (ＰＲ)ｓｐａｔｉａｌｓｏｌｉｔｏｎｓ[1～ 3] ｈａｖｅｂｅｅｎｉｎｖｅｓｔｉｇａｔｅｄｅｘｔｅｎｓｉｖｅｌｙｉｎｔｈｅｐａｓｔｆｅｗｙｅａｒｓ.Ａｔｐｒｅｓｅｎｔｔｈｅｓｅａｒｅｔｗｏｄｉｆｆｅｒｅｎｔｋｉｎｄｓｏｆｓｔｅａｄｙ ｓｔａｔｅＰＲｓｏｌｉｔｏｎｓ :ｓｃｒｅｅｎｉｎｇ[1 ,2 ] ｓｏｌｉｔｏｎｓａｎｄｐｈｏｔｏｖｏｌｔａｉｃ (ＰＶ) [3]ｓｏｌｉｔｏｎｓ.Ｍｏｒｅｒｅｃｅｎｔｌｙ ,ｗｅｈａｖｅｓｈｏｗｎｔｈｅｏ…     

Heterolayer screening of an external ion field

The theory of screening by heterolayer carriers, in their ground sub-band, is used to investigate the conditions in which the classical image charge applies to the polarization by an external ion field. An estimate of the field penetrating to the far side of the heterolayer is obtained.     

Analogies between the responses of an oscillator and a dispersive medium to the fields of a moving point charge

It is shown how the essential features of the perturbations created in a dispersive medium by an external charge (namely screening, excitation, and their respective behavior in different velocity ranges), can be seen to have their origin in the ordinary response of one single oscillator to the fields of a moving point charge.     

Vacuum polarization and color charge shielding in the external source problem of QCD2 with massless quarks

An approximate treatment of vacuum polarization in the external source problem of two-dimensional QCD with massless quarks is proposed. The static response to a static external source is determined with and without vacuum polarization. In the former case and if the gauge group is SU(2), a static solution is obtained only if the external source is essentially abelian. Complete shielding of the external charge sets in with the screening length equal to the inverse of the Schwinger mass. This shielding is enforced for special, self-screening external charges.     

Soliton electro-optic effects in paraelectrics

The combination of charge separation induced by the formation of a single photorefractive screening soliton and an applied external bias field in a paraelectric is shown to lead to a family of useful electro-optic guiding patterns and properties.     

The self-consistent response of the electron density of a crystal copper film to an external electrostatic field

The response of the electrons of an fcc copper (001) film to an external electrostatic field is calculated. In order to determine the distribution of the screening charge, the equations of the electron density-functional theory are solved self-consistently by an original method. The position of the “image plane,” which is involved in a correct asymptotic expression for the exchange-correlation potential in the vacuum region, is first determined when performing a quantum-mechanical calculation for an anisotropic crystal film. The nonlinear electron response is characterized by the evolution of the “center of gravity” of the induced charge, which is also investigated. The calculations take into account the crystal structure of the film, and the results differ essentially from the predictions of the “jelly” model.     

Exchange and correlation effects in the Visscher-Falicov model for metal intercalated graphite

A simple model for metal intercalated graphite as a layered electron gas treated in the random phase approximation, which was proposed in early work of Visscher and Falicov, is extended to include exchange and short-range intraplane correlations between the electrons. Main attention is focussed on the static screening function of the model system, in relation to effective pair potentials in metal intercalants. The local field factor accounting for exchange and correlation is related to the intraplane electron structure factor and the latter is evaluated in a simple pseudoclassical approach, which is tested against known results for a quantal 2 D electron gas. Screening of an external point charge is shown to be appreciably modified by exchange and correlation in the case when it lies in an electron plane, leading to a deeper main attractive well between two external charges lying in the same electron plane. On the other hand, exchange and correlation have only minor effects when the charges lie at mid distance between two electron planes, at least if reasonable physical requirements are made on acceptable values for the electron screening length in the relevant range of model parameters.     

Generation of long-living charged nanoparticles at ablation in air and their role in pulsed microdrilling

The ablation of steel in air by short laser pulses was shown to form a long-living cloud of electrically charged submicron particles. These particles, being resident in the atmosphere of deep laser-produced channels within tens of seconds and carrying an electric charge during portions of a second, are able to initiate low-threshold gas breakdown resulting in the significant screening of the following pulses with a duration of ～100 ps. The clouds contained mostly positively charged particles shaped as ideal spheres. The statistics of their diameters nearly followed the Poisson law with the peak at 400 nm. The total volume of the charged particles was nearly equal to the volume of the ablatively removed material. A new approach was proposed to eliminate the screening, which implied the use of an external electric field. This enabled the enhancement of drilling rates by up to 50 times. The electric charge, mobility, and discharge rates of the particles were measured using a conductivity technique.     

Coulomb screening in graphene with topological defects

We analyze the screening of an external Coulomb charge in gapless graphene cone, which is taken as a prototype of a topological defect. In the subcritical regime, the induced charge is calculated using both the Green’s function and the Friedel sum rule. The dependence of the polarization charge on the Coulomb strength obtained from the Green’s function clearly shows the effect of the conical defect and indicates that the critical charge itself depends on the sample topology. Similar analysis using the Friedel sum rule indicates that the two results agree for low values of the Coulomb charge but differ for the higher strengths, especially in the presence of the conical defect. For a given subcritical charge, the transport cross-section has a higher value in the presence of the conical defect. In the supercritical regime we show that the coefficient of the power law tail of polarization charge density can be expressed as a summation of functions which vary log periodically with the distance from the Coulomb impurity. The period of variation depends on the conical defect. In the presence of the conical defect, the Fano resonances begin to appear in the transport cross-section for a lower value of the Coulomb charge. For both sub and supercritical regime we derive the dependence of LDOS on the conical defect. The effects of generalized boundary condition on the physical observables are also discussed.     

Electrophoresis of a charge-inverted macroion complex: Molecular-dynamics study

We have performed molecular-dynamics simulations to study the effect of an external electric field on a macroion in the solution of multivalent Z : 1 salt. To obtain plausible hydrodynamics of the medium, we explicitly make the simulation of many neutral particles along with ions. In a weak electric field, the macroion drifts together with the strongly adsorbed multivalent counterions along the electric field, in the direction proving inversion of the charge sign. The reversed mobility of the macroion is insensitive to the external field, and increases with salt ionic strength. The reversed mobility takes a maximal value at intermediate counterion valence. The motion of the macroion complex does not induce any flow of the neutral solvent away from the macroion, which reveals screening of hydrodynamic interactions at short distances in electrolyte solutions. A very large electric field, comparable to the macroion unscreened field, disrupts charge inversion by stripping the adsorbed counterions off the macroion. Received 5 December 2001 and Received in final form 10 April 2002     

Brane-world stars from minimal geometric deformation, and black holes

Using the effective four-dimensional Einstein field equations, we build analytical models of spherically symmetric stars in the brane-world, in which the external space-time contains both an ADM mass and a tidal charge. In order to determine the interior geometry, we apply the principle of minimal geometric deformation, which allows one to map general relativistic solutions to solutions of the effective four-dimensional brane-world equations. We further restrict our analysis to stars with a radius linearly related to the total general relativistic mass, and obtain a general relation between the latter, the brane-world ADM mass and the tidal charge. In these models, the value of the star’s radius can then be taken to zero smoothly, thus obtaining brane-world black hole metrics with a tidal charge solely determined by the mass of the source and the brane tension. We find configurations which entail a partial screening of the gravitational mass, and general conclusions regarding the minimum mass for semiclassical black holes are also drawn.     

GaN-based heterostructures: electric--static equilibrium and boundary conditions

In the GaN-based heterostructures, this paper reports that the strong electric fields induced by polarization effects at the structure boundaries complicate the electric--static equilibrium and the boundary conditions. The basic requirements of electric--static equilibrium for the heterostructure systems are discussed first, and it is deduced that in the application of the coupled Schr\"{o}dinger--Poisson model to the heterostructures of electric--static equilibrium state, zero external electric field guarantees the overall electric neutrality, and there is no need to introduce the charge balance equation. Then the relation between the screening of the polar charges in GaN-based heterostructures and the possible boundary conditions of the Poisson equation is analysed, it is shown that the various boundary conditions are equivalent to each other, and the surface charge, which can be used in studying the screening of the polar charges, can be precisely solved even if only the conduction band energy is correctly known at the surface. Finally, through the calculations on an AlGaN/GaN heterostructure with typical structure parameters by the coupled Schr\"{o}dinger--Poisson model under the various boundary conditions, the correctness of the above analyses are validated.     

Screening of the dust-particle charge in a plasma with an external ionization source

An asymptotic theory of the screening of the dust-particle charge in a plasma with an external ionization source has been developed. It has been shown analytically that the screening of the charge of a dust particle adsorbing the charge of charged plasma particles that fall on it is not generally described by the Debye theory. The screening radius is determined by the relation between the coefficients β_ei and β_L = 4πek _i (k _i is the ion mobility) of the electron-ion and Langevin recombinations, respectively. When β_L ? β _ei , the screening radius is much larger than the electron Debye radius. It has been shown that the contribution of the ion component of an isothermal plasma to screening is equal to the electron contribution if the coefficient of the electron-ion recombination is twice or more larger than the Langevin coefficient of the ion recombination, β_ei ≥ 2β_L.     

Current partition in multiprobe conductors in the presence of slowly oscillating external potentials

In the presence of a static potential drop a carrier stream incident at a contact of the sample is partitioned into the other contacts according to the transmission probabilities of the sample. The bare response to oscillating potentials, on the other hand, violates current conservation due to the piling up of unscreened charges in the sample, and has to be modified by taking the induced screening potential into account. We present a novel derivation of the conductance response to oscillating external chemical potentials, find the response to an arbitrary internal potential in terms of functional derivatives with respect to the local potential of the scattering matrix of the conductor, and determine the screening potential for slowly oscillating potentials from the condition of local charge neutrality. We find that the current partitioning depends on ratios of local densities of states which reflect the injection and emission properties of the contacts of the sample.     

Polarization component of cohesion energy in single-wall carbon nanotube-DNA complexes

Within the framework of a quantum mechanical model, the polarization component of the energy of cohesion of an ionized DNA molecule to the surface of a nanotube has been calculated. Neglecting the polarization of the DNA, and in the absence of external screening, the binding energy is ∼0.47 eV per elementary charge. The effective nanotube screening parameter is ∼2 and cannot be reduced to classical expressions for metallic and dielectric screening. Published in Russian in Pis’ma v Zhurnal éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 84, No. 6, pp. 411–415. The article was translated by the authors.     

Effects of an electric field on the surface electron barrier in a metal in the presence of an adsorbate. Part 2. An improved Thomas-Fermi method

An improved form of the Thomas-Fermi method (density-functional method) is used to consider the effects of an adsorbate on the screening of an external electric field near the surface of a metal. It is shown that quasihomogeneous models for the electron gas that are based on the local-density approximation do not enable one to consider the field directed towards the metal. When allowance is made for multiparticle effects and inhomogeneous corrections to the electron energy, one can calculate the damping parameter for the electron density and the coordinate of the center of gravity of the screening charge in relation to the electric field strength and adsorbate density. Various nonadditive effects are discussed that are related to the effects of the field on the structure of the double layer, which have an influence on the desorption and evaporation of surface atoms in strong electric fields.Translated from Izvestiya Vysshykeh Uchebnykh Zavedenii, Fizika, No. 11, pp. 10–14, November, 1981.     

Spreading resistance microscopy of polycrystalline and single-crystal ferroelectric films

Thin films based on lead zirconate titanate with stoichiometric composition near the morphotropic boundary have been studied using atomic-force microscopy methods. The dependence of the local conductivity on the local polarization direction has been observed for all samples, independently of substrate type, deposition method, and film thickness. It has been shown that the current response to the applied voltage exhibits a long current relaxation, about several tens of seconds, which is two to three orders of magnitude greater than the current relaxation time in an external circuit, associated with the ferroelectric domain switching. The conductivity features have been explained by recharging of traps localized at ferroelectric grain boundaries near electrodes and involved in polarization charge screening.     

Backward Charge Transfer in Conjugated Polymers

It has been known that the static polarizability of a polymer chain with a biexciton is negative. In order to understand this peculiar fact, this paper studies the dynamical process of the charge transfer in the polymer chain induced by an external electric field E during forming the biexciton. The time dependence of the charge distribution in the chain reveals that the charge transfer is backward: the positive charge shifts in the opposite direction of the external electric field. Such a backward charge transfer (BCT) produces an opposite dipole, which makes the polarization negative. The effect of electron interaction on the BCT is illustrated.     

Charge screening in a plasma with an external ionization source

An asymptotic theory for the screening of the electric field of a dust particle or a spherical probe in a plasma with an external steady and/or internal (proportional to the electron density) gas ionization source has been developed for the first time. It has been established that the screening of the charge of a spherical body adsorbing the charge of the incident plasma particles is described by a superposition of two exponentials with different screening constants. The two exponentials are retained even in the absence of nonequilibrium fluxes on the macroparticle and only in the special case of an isothermal plasma does the screening become Debye one. The screening length is determined by the ratio of the electron-ion, β_ei, and Langevin, β_L = 4πeμ_i (where μ_i is the ion mobility), recombination coefficients. If β_L ? β_ei, then it is much larger than the electron Debye length. The ions in an isothermal plasma have been found to give the same contribution to the screening as the electrons if the electron-ion recombination coefficient exceeds the Langevin ion recombination coefficient by a factor of 2 or more, β_ei ≥ 2β_L. The Vlasov equation is used to analyze the asymptotic behavior of the macroparticle potential in a collisionless plasma.     

Effect of external magnetic field on critical current for the onset of virtual cathode oscillations in relativistic electron beams

In this Letter we research the space charge limiting current value at which the oscillating virtual cathode is formed in the relativistic electron beam as a function of the external magnetic field guiding the beam electrons. It is shown that the space charge limiting (critical) current decreases with growth of the external magnetic field, and that there is an optimal induction value of the magnetic field at which the critical current for the onset of virtual cathode oscillations in the electron beam is minimum. For the strong external magnetic field the space charge limiting current corresponds to the analytical relation derived under the assumption that the motion of the electron beam is one-dimensional [D.J. Sullivan, J.E. Walsh, E. Coutsias, in: V.L. Granatstein, I. Alexeff (Eds.), Virtual Cathode Oscillator (Vircator) Theory, in: High Power Microwave Sources, vol. 13, Artech House Microwave Library, 1987, Chapter 13]. Such behavior is explained by the characteristic features of the dynamics of electron space charge in the longitudinal and radial directions in the drift space at the different external magnetic fields.