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Vol 127, No 6 (2018)

Atoms, Molecules, Optics

Electron Energy Conversion to EUV Radiation in the Kα Line of Be in the “Shooting Through” Geometry

Lopatin A.Y., Par’ev D.E., Pestov A.E., Salashchenko N.N., Chkhalo N.I., Demin G.D., Dyuzhev N.A., Makhiboroda M.A., Kochetkov A.A.

Abstract

A model is presented and the interaction of accelerated electrons with atoms in a thin film “shooting through” Be target is theoretically described. The algorithm is based on the Monte Carlo simulation of the electron motion in the target accompanied by energy losses in elastic and inelastic interactions. The conversion of the electron energy to the radiation energy in the 11.4-nm Kα line of Be and the emission spectrum are calculated. The maximum conversion efficiency to the solid angle 4π CE = 3.0 × 10–4 is achieved for the electron energy Ee = 2.0 keV and a 40-nm-thick freely suspended beryllium film. 200-nm and 400-nm-thick films were experimentally investigated. The maximum conversion efficiency to the solid angle 4π for a 200‑nm-thick film and the electron energy Ee = 2.75 keV was CEexp = 9.2 × 10–5, whereas the calculated value was CEcalc = 2.5 × 10–4. The observed discrepancy between the theory and experiment is explained in the paper.

Journal of Experimental and Theoretical Physics. 2018;127(6):985-993
pages 985-993 views

Masking of a High-Reflectivity Sphere by a Layer with a Random Quasi-Zero Refractive Index

Gadomsky O.N., Ushakov N.M., Shchukarev I.A., Katnov V.E.

Abstract

The method of masking of a large-radius sphere made of an arbitrary material by a masking coating with a random quasi-zero refractive index is substantiated theoretically and experimentally. In this method of masking, the sphere is first coated with a mirror layer (e.g., high-reflectivity silver) and then with a masking layer with a thickness much smaller than the radius of the sphere. The fraction of the external radiation intensity bending around the sphere at the points of observation near the surface of the sphere and the extinction cross section of the sphere with the masking coating for points of observation far away from the sphere are calculated. It is shown that extinction cross section Q of the sphere with a masking coating is much smaller than 2D, where D is the geometrical cross section of the sphere; this corresponds to the masking effect for the sphere in the wavelength range of at least 450–1200 nm in the transparency region of the masking coating.

Journal of Experimental and Theoretical Physics. 2018;127(6):994-1002
pages 994-1002 views

Absorption of Ultrashort Laser Pulses by Diatomic Molecules

Astapenko V.A., Lisitsa V.S., Yakovets A.V.

Abstract

The absorption of ultrashort laser pulses by diatomic CO and HF molecules is studied theoretically. The probability of absorption in the total pulse action time and its dependence on the pulse duration and carrier frequency are calculated. In contrast to atomic systems, where the finite pulse duration effects are noticeable on time scales of the order of femtoseconds, these effects in molecular structures manifest themselves on time scales of the order of picoseconds. In this case, the vibrational–rotational structure of molecular transitions plays a significant role. The results of our calculations of the vibrational–rotational spectra for the absorption of ultrashort laser pulses by diatomic CO and HF molecules are presented. The transition from the nonlinear dependence of the absorption probability for short pulse durations to the standard dependence at long pulse durations corresponding to the transition probabilities per unit time is investigated.

Journal of Experimental and Theoretical Physics. 2018;127(6):1003-1008
pages 1003-1008 views

Solids and Liquids

Dynamics and Stability of Subsonic Crowdion Clusters in 2D Morse Crystal

Korznikova E.A., Shepelev I.A., Chetverikov A.P., Dmitriev S.V., Fomin S.Y., Zhou K.

Abstract

Recently, the concept of supersonic N-crowdions was offered. In molecular dynamics simulations, they can be excited by initial kick of N neighboring atoms located in one close-packed atomic row along this row. In the present study, in 2D Morse crystal, we apply initial kick to M neighboring atoms located in neighboring close-packed atomic rows along these rows. This way, we initiate crowdion clusters called subsonic M-crowdions. It is well known that static 1-crowdion in 2D Morse lattice is unstable; as a result, the interstitial atom leaves the close-packed atomic row and becomes immobile. However, we show that 1-crowdion moving with sufficiently large subsonic velocity remains in the close-packed atomic row. Crowdion clusters with M equal to or greater than 2 appear to be stable even at rest, with growing M transforming into prismatic dislocation loops. It is important to note that stable subsonic M-crowdions (M > 1) remain mobile and they can carry interstitial atoms over long distances.

Journal of Experimental and Theoretical Physics. 2018;127(6):1009-1015
pages 1009-1015 views

Band and Impurity States in Dimond with the (MV) (M = Si, Ge, Sn) Centers Based on ab Initio Calculations

Mavrin B.N.

Abstract

Ab initio calculations were used to determine the structure, electronic zone dispersion, partial (atomic and orbital) densities of states, and levels of impurity–vacancy cluster (MV) (M = Si, Ge, Sn) in diamond. Wavefunctions were determined in the density functional theory approximation using hybrid exchange-correlation functional, localized basis set of Gaussians, and a supercell consisting of 192 atoms. Results are compared with data on undoped diamond and with experimental results. The dependence of the direct and indirect energy gap on the cluster type is discussed. Calculations are carried out taking into account the spin–orbit interaction to identify impurity levels in the valence band. The effect of electron–electron interaction on the position of impurity levels is discussed. The dominant contribution of the d orbitals to the density of states at the impurity level in all clusters is detected.

Journal of Experimental and Theoretical Physics. 2018;127(6):1016-1021
pages 1016-1021 views

Order, Disorder, and Phase Transition in Condensed System

Spin Polarization Dynamics of Nonequilibrium Conduction Electrons in Magnetic Junctions

Vilkov E.A., Mikhailov G.M., Nikitov S.A., Safin A.R., Logunov M.V., Korenivskii V.N., Chigarev S.G., Fomin L.A.

Abstract

The dynamics of the motion of the magnetic moment averaged over an ensemble of nonequilibrium spin-injected electrons in a ferromagnetic junction is considered with allowance for the exchange interaction, as well as the interaction with an external electromagnetic field and a thermostat. The solution of this problem is important for the experimental development of compact terahertz-band radiation sources. The rate of quantum transitions of electrons with opposite spins, which determine the spin relaxation under the interaction with a thermostat, is calculated within the density matrix formalism. It is shown that two spin-relaxation modes can be implemented that correspond to low- and high-Q precession of spin-nonequilibrium injected electrons. The effect of the characteristic features of spin-flip transitions under the relaxation of the magnetic moment on the emission and absorption of photons with-energy corresponding to the energy of effective exchange splitting of spin subbands is discussed.

Journal of Experimental and Theoretical Physics. 2018;127(6):1022-1032
pages 1022-1032 views

Evolution of the Crystal and Electronic Structures of the RBa2Cu3O6 + δ Cuprates in Annealing

Fetisov A.V., Estemirova S.K., Mitrofanov V.Y., Uporov S.A.

Abstract

The crystal structure and the magnetic properties of the HTSC cuprates YBa2Cu3O6 + δ, Y1 ‒ xCaxBa2Cu3O6 + δ, and Nd1 +xBa2 –xCu3O6 + δ (x = 0.2) with the structure of a layered perovskite are studied. The well-known aging effect detected in these HTSC materials during storage under standard conditions, namely, an increase in their critical temperature Tc and a decrease in lattice parameter c in time, is investigated. Using YBa2Cu3O6 + δ as an example, we show that the dependence of c on the oxygen content undergoes the following changes in time: (1) the negative slope of the dependence with respect to axis δ increases and (2) nonlinearity appears and grows in time according to a quadratic law. The first type of changes is explained by an increase in the valence of copper ions, which is accompanied by a decrease in their radius. The second type is explained by the electrostatic interaction of structural CuO2 planes due to the accumulation of electron holes, which come from CuOδ planes, in them. The calculation of the second type of changes in parameter c in the YBa2Cu3O6 + δ cuprate exhibits good quantitative agreement with the experimental data. The second-type changes in the Y1 –xCaxBa2Cu3O6 + δ compound (hole doping of CuO2 planes) turn out to be identical to those in YBa2Cu3O6 + δ. However, the differently directed (in time) changes in lattice parameter c in Nd1 +xBa2 –xCu3O6 + δ indicate that the CuO2 planes in the neodymium cuprate are doped by electrons at the initial stage of aging. However, when these planes are saturated with holes in time, the type of doping changes from n to p without a noticeable change in the crystal structure, which has been considered to be impossible for layered cuprates to date.

Journal of Experimental and Theoretical Physics. 2018;127(6):1033-1039
pages 1033-1039 views

Critical Properties of the Anisotropic Ising Model with Competitive Interactions in the Region of a Phase Transition from the Modulated Phase to the Paramagnetic One

Murtazaev A.K., Ibaev Z.G.

Abstract

Monte Carlo methods are used to study the anisotropic Ising model with competing interactions in the region of the phase transition from the modulated to the paramagnetic phase. Using histogram analysis of Monte Carlo data and the theory of finite-size scaling, it is shown that the transition from the modulated state to the paramagnetic one is a second-order phase transition. The critical parameters and temperatures of phase transitions in this region are calculated. It is shown that the modulated–paramagnetic phase transition cannot be described within the framework of the known universality classes of critical behavior.

Journal of Experimental and Theoretical Physics. 2018;127(6):1040-1045
pages 1040-1045 views

Effect of Impurities on the Formation Energy of Point Defects in the γ-TiAl Alloy

Bakulin A.V., Kulkova S.E.

Abstract

The projector augmented-wave method within density functional theory is used to study the effect of 4d elements and Group IIIA and IVA elements on the energetics of point defect formation and elastic moduli of the γ-TiAl alloy. To calculate the point defect formation energy, the grand canonical formalism was used. It is shown that the formation energy of aluminum vacancies decreases by approximately 1.3 eV with increasing its content in the series of alloys Ti3Al–TiAl–TiAl3, whereas the formation energy of titanium vacancies changes insignificantly. In general, the formation of titanium vacancies in these alloys is preferred to the formation of aluminum vacancies. It has been found that Nb, Mo, Tc, Ru, Rh, and Pd impurities on the aluminum sublattice contribute to an increase in the formation energy of an aluminum vacancies, and Mo and Tc also lead to an increase in the formation energy of titanium vacancies. All 4d impurities, if they substitute for titanium, reduce the formation energy of aluminum vacancies, and Nb and Mo are favorable for increasing the formation energy of titanium vacancies. The influence of impurities on the chemical bond in the γ-TiAl alloy and its elastic moduli and characteristics based on them is discussed.

Journal of Experimental and Theoretical Physics. 2018;127(6):1046-1058
pages 1046-1058 views

Nonlinear Magnetization Waves and Solitons in a Paramagnet with a Dipole Interaction

Tsiberkin K.B.

Abstract

Based on a microscopic approach, we have derived equations for the local magnetization dynamics of a spin system coupled by a dipole–dipole interaction in a uniform magnetic field in the continuum approximation. Using the generalized method of multiple scales, we have found the corrections to the Larmor precession frequency of the magnetic moments due to the interparticle interaction, which lead to a broadening of spectral lines and the formation of satellites far from the Larmor frequency. We have derived nonlinear equations for the magnetization amplitude in higher expansion orders, which admit wave and soliton solutions. We have analyzed the influence of the nonsecular part of the dipole–dipole interaction on the stability of solitons and determined the conditions for their existence.

Journal of Experimental and Theoretical Physics. 2018;127(6):1059-1066
pages 1059-1066 views

Electron Paramagnetic Resonance of Cr3+ Ions in ABO3 (A = Sc, In, Ga) Diamagnetic Crystals

Vorotynov A.M., Rudenko V.V., Ovchinnikov S.G., Molokeev M.S.

Abstract

A magnetic resonance method is applied to the investigation of a number of isostructural diamagnetic compounds ABO3 (A = Sc, In, and Ga) with small additions of Cr3+ ions (S = 3/2) sufficient to observe single-ion and pair spectra. It is shown that the resonance spectra for isolated Cr3+ ions can be described to a good accuracy by the ordinary axial spin Hamiltonian for 3d ions in octahedral oxygen environment. The parameters of the spin Hamiltonian are determined for single Cr3+ ion and Cr3+–Cr3+ pair. Lattice distorsions of the parent ABO3 crystals caused by the Cr3+ impurities is discussed.

Journal of Experimental and Theoretical Physics. 2018;127(6):1067-1073
pages 1067-1073 views

Thermodynamic Functions and Electrical Resistivity of Fluid Lead in the Metal–Nonmetal Transition Range

Kondratyev A.M., Korobenko V.N., Rakhel A.D.

Abstract

A dynamic method is used to measure the thermodynamic functions and the electrical resistivity of fluid lead for a wide range of specific volume and pressure. The measurements errors have been reduced to a level comparable to those of stationary methods. It is found that the transition of the fluid from the metallic state to a nonmetallic state occurs when its specific volume increases 2.7 times relative to the normal value. In each individual experiment the transition occurred at almost a constant pressure, and was detected by the change in sign of the isochoric temperature coefficient of resistance determined for the entire series of the experiments. In the pressure range of 0.6–5 GPa, the specific volume at which the metal–nonmetal transition occurs is found to be independent of pressure, and therefore, the transition line is close to an isochore. For the whole range of states of fluid lead investigated here, the speed of sound and the Grüneisen coefficient have been determined.

Journal of Experimental and Theoretical Physics. 2018;127(6):1074-1086
pages 1074-1086 views

Electronic Properties of Solid

The Second Boundaries of Stability Zones and the Angular Diagrams of Conductivity for Metals Having Complicated Fermi Surfaces

Maltsev A.Y.

Abstract

We consider some general aspects of dependence of magneto-conductivity on a magnetic field in metals having complicated Fermi surfaces. As it is well known, a nontrivial behavior of conductivity in metals in strong magnetic fields is connected usually with appearance of non-closed quasiclassical electron trajectories on the Fermi surface in a magnetic field. The structure of the electron trajectories depends strongly on the direction of the magnetic field and usually the greatest interest is caused by open trajectories that are stable to small rotations of the direction of B. The geometry of the corresponding Stability Zones on the angular diagram in the space of directions of B represents a very important characteristic of the electron spectrum in a metal linking the parameters of the spectrum to the experimental data. Here we will consider some very general features inherent in the angular diagrams of metals with Fermi surfaces of the most arbitrary form. In particular, we will show here that any Stability Zone actually has a second boundary, restricting a larger region with a certain behavior of conductivity. Besides that, we shall discuss here general questions of complexity of the angular diagrams for the conductivity and propose a theoretical scheme for dividing the angular diagrams into “simple” and “complex” diagrams. The proposed scheme will in fact also be closely related to behavior of the Hall conductivity in a metal in strong magnetic fields. In conclusion, we will also discuss the relationship of the questions under consideration to the general features of an (abstract) angular diagram describing the behavior of quasiclassical electron trajectories at all energy levels in the conduction band.

Journal of Experimental and Theoretical Physics. 2018;127(6):1087-1111
pages 1087-1111 views

Interaction of Spherically Symmetric Particles in Cubic Crystals

Eremin M.V., Vasin K.V.

Abstract

An explicit expression for the energy of interaction between two spherically symmetric particles via the strain field in cubic crystals is obtained with an accuracy up to quadratic terms with respect to the anisotropy parameter d = c11c12 – 2c44. The diagrams depicting the regions of attraction and repulsion between particles projected onto the xy plane are drawn. It is found that at d < 0, the attraction regions are formed mostly along the x and y axes. At d > 0, the directions preferable for the attraction in the linear approximation with respect to the anisotropy parameter d are diagonals. However, each such direction becomes “split” into two directions if the nonlinear corrections are taken into account. In passing, we reveal the errors and misprints in the earlier papers based on the isotropic medium approximation (d = 0) and on the linear approximation with respect of parameter d.

Journal of Experimental and Theoretical Physics. 2018;127(6):1112-1117
pages 1112-1117 views

Compressibility, Electrical Conductivity, and Crystallization of Glassy Selenium at a High Pressure

Tsiok O.B., Brazhkin V.V.

Abstract

The volume and the electrical resistivity of glassy selenium (g-Se) are precisely measured at a high hydrostatic pressure up to 9 GPa. The bulk modulus at normal pressure (B = 9.05 ± 0.15 GPa) and its baric derivative (\(B_{P}^{'}\) = 6.4 ± 0.2) fall on the general concentration dependence of the properties of Se–Ge glasses. The bulk modulus is found to behave substantially nonlinearly in the pressure range P < 3 GPa, and this behavior is not related to glass density relaxation (which is absent in this pressure range). The electrical resistivity of g-Se decreases almost exponentially with increasing pressure and reaches 20 Ω cm at 8.75 GPa. The inelastic behavior and weak volume relaxation in g-Se begin at a pressure above 3.5 GPa. Both the volume and the logarithm of electrical resistivity exhibit noticeable (logarithmic in time) relaxation at above 8 GPa. The detected volume hysteresis (1%) and significant (two orders of magnitude) electrical resistivity hysteresis are associated with the pressure-induced structural changes in the glass. They cannot be explained by partial glass crystallization, since no crystalline phase impurity was detected right after experiments. A noticeable (about 1.5%) crystalline phase impurity appears in a sample only after long-term (1 day) storage at a pressure above 8 GPa. Moreover, the crystallization kinetics of g-Se is studied under normal conditions after the action of a high pressure.

Journal of Experimental and Theoretical Physics. 2018;127(6):1118-1124
pages 1118-1124 views

Terahertz Photoluminescence of Double Acceptors in Bulky Epitaxial HgCdTe Layers and HgTe/CdHgTe Structures with Quantum Wells

Kozlov D.V., Rumyantsev V.V., Morozov S.V., Kadykov A.M., Fadeev M.A., Zholudev M.S., Varavin V.S., Mikhailov N.N., Dvoretskii S.A., Gavrilenko V.I., Teppe F.

Abstract

The photoluminescence of bulky films and heterostructures with HgCdTe quantum wells is studied in the far IR range upon interband optical excitation. Photoluminescence lines are found whose position is independent of temperature, and intensity nonmonotonically changes with increasing temperature. These lines are shown to be related to the radiative recombination of holes by singly ionized mercury vacancies. A drastic increase in the equilibrium recombination of such centers involved in the formation of the photoluminescence signal with the temperature change from 40 to 70 K leads to the nonmonotonic temperature dependence of the photoluminescence intensity.

Journal of Experimental and Theoretical Physics. 2018;127(6):1125-1129
pages 1125-1129 views

Bound State of an Electron in a MOS Structure Due to the Spin–Orbit Interaction

Mahmoodian M.M., Chaplik A.V.

Abstract

It is shown that two electrons situated in a quantum well near a metallic electrode are attracted to each other due to the Bychkov–Rashba spin–orbit interaction (SOI) and electrostatic image forces. For quite accessible values of the characteristic parameters of the system, the effective attraction due to the SOI dominates over the Coulomb repulsion, and the formation of a bielectron becomes possible. The theory of the effect is especially simple and clear in the case of a quantum wire. The binding energy of the electron pair significantly increases under the application of a gate voltage of appropriate polarity.

Journal of Experimental and Theoretical Physics. 2018;127(6):1130-1135
pages 1130-1135 views

Statistical, Nonlinear, and Soft Matter Physics

Large-Scale Compressibility in Rotating Flows of Astrophysical Plasma in the Shallow Water Approximation

Klimachkov D.A., Petrosyan A.S.

Abstract

Two systems of magnetohydrodynamic equations in the shallow water approximation are proposed as a basis for studies in the field of plasma astrophysics: the system of equations with a full allowance for the Coriolis force and the system of equations on the β-plane in which the changes of the Coriolis parameter are linear in coordinate. Both systems of equations take into account such fundamentally important phenomena in plasma astrophysics as the compressibility and external magnetic field effects, increasing significantly the potential for applying these equations to study astrophysical objects. Compressibility in plasma astrophysics is shown to change significantly the dispersion laws for magneto-Poincare, magnetostrophic, and magneto-Rossby waves. The same nonlinear interactions as those in the absence of compressibility have been found to be realized in the case of a compressible rotating plasma. Three-wave equations in the weak nonlinearity approximation, in which the interaction coefficients depend on plasma large-scale compressibility and thermodynamic characteristics, have been derived by the method of multiscale expansions. Expressions for the growth rates of the parametric instabilities of three-wave interactions with large-scale compressibility have been derived.

Journal of Experimental and Theoretical Physics. 2018;127(6):1136-1152
pages 1136-1152 views

Theoretical Investigation of Equilibrium Properties of the Yukawa Fluid in a Wide Range of Parameters

Reshetniak V.V., Starostin A.N., Filippov A.V.

Abstract

The static properties of the Yukawa fluids are investigated in a wide range of parameters: the value of the effective nonideality parameter Γ* ranged from 0 to 155, and the value of the screening parameter κ ranged from 1 to 5. Investigations are carried out by the Brownian dynamics method and by solving the Ornstein–Zernike (OZ) equation in the hypernetted chain (HNC) approximation. The analysis of the structure of the fluids shows that they are locally ordered for large values of Γ*; however, no translationally ordered structures are observed. Isothermal compressibility exhibits nonmonotonic behavior as a function of Γ*. The possibility of a phase transition of the fluid to a vitreous state is discussed.

Journal of Experimental and Theoretical Physics. 2018;127(6):1153-1164
pages 1153-1164 views

On the Magnetomechanical Effect in a Low-Pressure Steady-State Discharge

Shaikhitdinov R.Z., Shibkov V.M.

Abstract

A unified mechanism explaining the rotation of a suspension and the azimuthal rotation of a dust structure in the plasma of a vertically oriented gas discharge placed in a longitudinal magnetic field is proposed. Basically, it consists in the action of a magnetic field on the electric current produced by the directed motion of ions in the layer of space charge around the solid bodies placed in a plasma. The derived expressions, which define the dependences of the torque of the magnetomechanical effect acting on the plate and the angular velocity of azimuthal rotation of the dust structure on external plasma parameters, qualitatively correspond to the experimental results.

Journal of Experimental and Theoretical Physics. 2018;127(6):1165-1172
pages 1165-1172 views

Magnetic Convection in a Nonuniformly Rotating Electroconducting Medium

Kopp M.I., Tour A.V., Yanovsky V.V.

Abstract

We study the stability of a convective flow in a nonuniformly rotating plasma layer in an axially uniform magnetic field. The stationary and oscillating regimes of magnetic convection are considered depending on the angular velocity profile (Rossby number Ro) of the electroconducting medium. Using the Galerkin method for describing the weakly nonlinear stage of evolution of convection, we have obtained a nonlinear dynamic system of Lorentz-type equations. Numerical analysis of these equations has revealed the chaotic behavior of convective flows. The criteria for the emergence of chaotic flows are obtained depending on parameters of convection (Rayleigh number Ra), magnetic field (Chandrasekhar number Q), and rotation (Taylor number Ta) for the Rayleigh (Ro = –1) and Kepler (Ro = –3/4) angular velocity profiles of the medium.

Journal of Experimental and Theoretical Physics. 2018;127(6):1173-1196
pages 1173-1196 views

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