A theorem on electromagnetic properties of leptons

The following theorem is proven: Every lepton with the mass m, electric charge q and spin J belonging to any representation of a non-abelian gauge group must have the magnetic moment μ = qJm^?1, electric mean squared radius r² = qJ(J + 1)m^?2 and electric quadrupole moment Q = qJ(2J ? 1)m^?2 in the first order of the electromagnetic effects in an arbitrary renormalizable theory with the non-abelian gauge group symmetry which permits the validity of the Gerasimow-Drell-Hearn and Cabibbo-Radicati sum rules. The formula for the magnetic moment applies also for an abelian symmetry and remains valid even if the gauge symmetry is spontaneously broken.     

Color confinement and long-distance color fields in QCD

We use an effective lagrangian previously derived from a long-distance self-consistent solution of the Schwinger-Dyson equations of Yang-Mills theory to study some long-distance problems in QCD. In particular we show: (i) the long-distance contribution to the energy of a system containing a net color electric charge is infinite and hence there are no such states in the physical spectrum; (ii) the long-distance contribution to the energy of a system containing a net color magnetic charge is completely screened at distances r > 1/Λ_rmQCD.     

Gauge field theory of vortex lines in 4He and the superfluid phase transition

We use the XY model to derive a disorder gauge field theory of the Ginzburg-Landau type II and calculate the transition temperature. As a side result we find the complete phase transition line of a lattice superconductor t ? 3+ 0.253 e² = 0, where t is the temperature and e the electric charge, in good agreement with recent Monte Carlo numbers.     

Classical solutions of Yang-Mills and CP n−1 models with scalar fields

We present a study of classical solutions of the SU(2) Yang-Mills (YM) theory with a massless Higgs doublet, and of the CP ^n?1 model coupled to a scalar field. In both cases the scalar field tends to suppress instantons but not merons (this is a purely classical effect). In the YM theory a static Wu-Yang-like monopole solution with variable magnetic charge is found and its connection with the meron solution of this theory is discussed.     

Electrical properties of the SiC/Si composite and the biomorphic SiC ceramic fabricated from spanish beech wood

A study has been made of the dependences of the electrical resistivity and the Hall coefficient on the temperature and magnetic field for the SiC/Si composite fabricated from spanish beech wood and bio-SiC, a high-porosity material formed by chemical extraction of silicon from this composite. The main charge transport parameters of these materials have been determined and analyzed. It has been shown that electric transport in bio-SiC is effected by n-type carriers with a high concentration of ～10¹⁹ cm^?3 and a low mobility of ～1 cm² V^?1 s^?1. The relations obtained have been analyzed by invoking the theory of quantum corrections to conductivity.     

Nuclear spins,moments and charge radii of108−111Sn

The hyperfine structure splittings (hfs) and isotope shifts (IS) in the atomic transitions 5s ² 5p ^{2 1} S ₀ → 5s ² 5p6s ^1,3 P ₁ have been measured for the radioactive isotopes^108?111Sn and all stable ones. The tin isotopes were prepared as fast atomic beams for collinear laser spectroscopy at the GSI online mass separator following a fusion reaction. Nuclear spins, magnetic dipole, electric quadrupole moments and changes in mean square charge radii have been determined. In¹⁰⁹Sn the spinI=5/2 was measured for the nuclear ground state (T _1/2=18 min) in contradiction to the literature value. The mean square charge radii show a parabolic behaviour with a maximum at N=66. This is interpreted by collective effects, which are considerably stronger than accounted for by theB(E2)-values.     

DFT study on the influence of electric field on surface‐enhanced Raman scattering from pyridine–metal complex

The influence of a static external electric field on surface‐enhanced Raman scattering is investigated by calculating the Raman spectra and excited state properties of pyridine–Au₂₀ complex with the density functional theory and time‐dependent density functional theory method. The external electric field with orientation parallel (positive) or antiparallel (negative) to the permanent dipole moment is respectively applied on the complex. This field slightly changes the equilibrium geometry and polarizabilities, which results in shifted vibration frequencies and selectively enhanced Raman intensities. The changes of charge transfer (CT) excited states in response to the electric field are visualized by employing the charge difference densities. Further, the energy of charge transfer transition is tuned by electric field to be resonant or not with the incident light, leading to the Raman intensities are enhanced or not enhanced. At the same time, the intensities of vibration modes are sensitive to the orientation of the field. The positive electric field enhances the totally symmetric ring breathing mode (~1009 cm⁻¹) but suppresses the trigonal ring breathing mode (~1051 cm⁻¹). On the contrary, the mode at 1051 cm⁻¹ is more enhanced than the mode at 1009 cm⁻¹ when the negative electric field is applied on the complex. The Raman spectra could be modulated by tuning the strength and direction of the electric field. Copyright © 2013 John Wiley & Sons, Ltd.     

Multidimensional geometric models of electric and color charges with detachment of supplementary coordinates

A geometric model of electric charge is proposed. In this model there is a "naked" charge shunted by a "fuzz" of virtual necks. The "naked" charge is a 5-dimensional neck solution in Kaluza-Klein theory. Detachment of the supplementary coordinates occurs on the two spheres (null surfaces) bounding this neck which allows fastening two Reissner-Nordstrom black holes at both sides of it. The virtual necks entrap some of the field lines emerging from the "naked" charge. This effect can significantly reduce the apparent charge at infinity up to the real relation m² < e² for the electron. A similar construction is also presented for the color gauge SU(2) charge. Kirgiz State National University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 7–11, February, 1998.     

5d and 4ƒ mixing coefficients for rare earth ions in the pure metals and in silver and gold

The contribution to the crystalline electric field (C.E.F.) parameters from 4? character in the conduction electric wave function has been calculated, without the use of mixing coefficients ?_?, for rare earth ions in gold and silver and for the heavy rare earth metals. From experiment we have deduced the value of mixing coefficient ?_d in each case and used this to predict other C.E.F. potentials.Not only can the theory account well for the fact that the observed A₄⁰〈r⁴〉 coefficient is opposite in sign from that calculated using a lattice sum point charge model, in silver and gold, but the absolute value of A₆⁰〈r⁶〉, calculated without the use of any variable parameters, agrees well with experimental values.     

Effect of the surface charge on the complexing and catalytic properties of Cu2+-containing composite materials based on zirconia and powdered cellulose

Composite materials (CMs) based on zirconia xerogels and powdered cellulose (PC) were synthesized. The effect of the CM surface charge on their complexing properties with respect to Cu²⁺ ions and on the catalytic activity of the samples in model reactions of the decomposition of H₂O₂ and the oxidative dehydrogenation of trimethylhydroquinone with atmospheric oxygen was analyzed. It was experimentally proved that the use of PC for the synthesis of ZrO₂-based CMs, as in the case of previously studied CMs based on SiO₂ and TiO₂, leads to an increase in the specific surface area S _sp and a decrease in the negative electric potential of their surface. The surface charge, sorption method, and the composition of the buffer solution used for sorption have a significant effect on the copper(II) content in the CM phase, the distribution pattern, and the composition of the sorbed copper(II) compounds and on the catalytic activity of the synthesized Cu²⁺-containing CMs.     

Long-range potentials and the electromagnetic polarizabilities

The long-range spin and velocity independent forces of electromagnetic origin which act between any two systems are studied for those cases in which no forces of this type exist to order e². It is shown that they are uniquely determined by the charge, magnetic moment, and polarizabilities of both systems, not only to the dominant order r^?n, but also to the next one r^?(n+1). These potentials provide the link between Compton scattering polarizabilities (response to real photons) and classically defined polarizabilities (response to static electromagnetic field). The two definitions are shown to be equivalent for neutral spinless systems; the problems arising for a neutral particle with magnetic moment are studied in detail. The r^?(n+1) terms have no classical counterpart, since they are due to the relativistic quantum propagation of the system which carries charge or magnetic moment. The results are of general validity with analyticity, crossing, unitarity, and gauge invariance as only inputs. The most general conclusion is that the polarizabilities represent electromagnetic properties of a system at order e², as the charge and magnetic moment do at order e. Thus they give the strength of the response to electric and magnetic fields, independently of the specific characteristics of the electromagnetic agent.     

Origin of the multiferroicity in BiMn2O5 from first-principles calculations

Electronic structure, Born effective charges, and spontaneous polarization of multiferroic single crystal BiMn₂O₅ have been investigated in the framework of density functional theory. The relative stability of the ground state and the origin of multiferroicity for magnetism and ferroelectricity are addressed. The results reveal that the stability of antiferromagnetic (AFM) state is better than the ferromagnetic (FM) and ferrimagnetic configurations. The Born effective charge tensors (Z^?) have been calculated for this compound using a Berry-phase approach, compared to their nominal ionic values, the Z^* of Mn atoms show anomalous difference. By investigating the electric structure of BiMn₂O₅, there exists obviously hybridization between Bi 6s and O 2p states, our calculations indicate that the 6s² lone pair on the formally trivalent Bi ion plays an important role in inducing the ferroelectric distortion.     

Relaxation phenomena in TlGa<Subscript>0.99</Subscript>Fe<Subscript>0.01</Subscript>Se<Subscript>2</Subscript> single crystals

The relaxation electronic phenomena occurring in TlGa_0.99Fe_0.01Se₂ single crystals in an external dc electric field are investigated. It is established that these phenomena are caused by electric charges accumulated in the single crystals. The charge relaxation at different electric field strengths and temperatures, the hysteresis of the current-voltage characteristic, and the electric charge accumulated in the TlGa_0.99Fe_0.01Se₂ single crystals are consistent with the relay-race mechanism of transfer of a charge generated at deep-lying energy levels in the band gap due to the injection of charge carriers from the electric contact into the crystal. The parameters characterizing the electronic phenomena observed in the TlGa_0.99Fe_0.01Se₂ single crystals are determined to be as follows: the effective mobility of charge carriers transferred by deep-lying centers μ_f=5.6×10^?2 cm²/(V s) at 300 K and the activation energy of charge transfer ΔE=0.54 eV, the contact capacitance of the sample C _c =5×10^?8 F, the localization length of charge carriers in the crystal d _c =1.17×10^?6 cm, the electric charge time constant of the contact τ=15 s, the time a charge carrier takes to travel through the sample t _t =1.8×10^?3 s, and the activation energy of traps responsible for charge relaxation ΔE _σ = ΔE _Q = 0.58 eV.     

Current-voltage characteristics of a metal-semiconductor contact with a Mott barrier

An analytical solution for the current-voltage characteristics of a metal-semiconductor contact with a Mott barrier is derived with allowance made for the space charge of carriers in the n ⁺-i junction. The main assumption used in solving the Poisson equation is that the bulk doping of the i layer is ignored. The dependences of the electric current on the voltage are calculated for the characteristic cases of the thermionic emission and diffusion mechanisms of charge transfer. In contrast to the classical Mott result, the inclusion of the space charge of carriers in the calculation limits the increase in the electric current at a forward bias and decreases the nonlinearity of the current-voltage characteristics.     

Lithium-ion conductivity in the novel La1/3−xLi3xNbO3 solid solution with perovskite-related structure

The stoichiometric range, crystal chemistry, ionic conductivity and electrochemical window of the La_1/3−xLi_3xNbO₃ solid solution with a perovskite-related structure have been studied. The range of existence of the solid solution appears to be 0≤x≤0.06. These niobates have a basic diagonal unit cell a≈√2a_p b√2a_p c≈2a_p. Ionic conductivity of the materials and its dependence with the composition and temperature have been examined. We have found that the highest conductivity value is 4.3×1O⁻⁵ S cm⁻¹ at 300 K for x=0.04. The electrochemical window of the compounds has been investigated by potentiostatic discharge and charge. Electrochemical experiments show that the use of the materials as solid electrolytes in secondary batteries is limited down to 1.75 V using Li metal as anode.     

Low-energy e4 compton scattering of spin-12 targets without C,P and T invariances

We have studied the low-energy e⁴ Compton scattering on $\text{spin}\text{-}\text{1}\text{2}$ targets without assuming C, P and T invariances. It is shown that the scattering amplitude has a term ω³ ln ω (ω is the energy of incident photon in the lab frame), whose coefficient is determined entirely by the charge, mass, magnetic dipole moment, and electric dipole moment of the target. To derive the result, we calculate the second-order (in ω) terms of the e² Compton scattering amplitudes. When the electric dipole moment (whose existence violates P and T but conserves PT) is set to zero, the result reduces to that obtained before by Lin assuming C, P and T invariances.     

A DFT + U description of oxygen vacancies at the TiO2 rutile (1 1 0) surface

Experimental observations indicate that removing bridging oxygen atoms from the TiO₂ rutile (1 1 0) surface produces a localised state approximately 0.7 eV below the conduction band. The corresponding excess electron density is thought to localise on the pair of Ti atoms neighbouring the vacancy; formally giving two Ti³⁺ sites. We consider the electronic structure and geometry of the oxygen deficient TiO₂ rutile (1 1 0) surface using both gradient-corrected density functional theory (GGA DFT) and DFT corrected for on-site Coulomb interactions (GGA + U) to allow a direct comparison of the two methods. We show that GGA fails to predict the experimentally observed electronic structure, in agreement with previous uncorrected DFT calculations on this system. Introducing the +U term encourages localisation of the excess electronic charge, with the qualitative distribution depending on the value of U. For low values of U (?4.0 eV) the charge localises in the sub-surface layers occupied in the GGA solution at arbitrary Ti sites, whereas higher values of U (?4.2 eV) predict strong localisation with the excess electronic charge mainly on the two Ti atoms neighbouring the vacancy. The precise charge distribution for these larger U values is found to differ from that predicted by previous hybrid-DFT calculations.     

The electric screening mass in scalar electrodynamics at high temperature

We study the screening of static electric fields in massless scalar electrodynamics at high temperature and zero chemical potential. Effective field theory methods are used to separate the contributions from the momentum scales T and eT to the electric screening mass. The effects of the distance scale 1/T are encoded in the parameters of an effective three-dimensional field theory. The parameters of the effective Lagrangian can be written as a power series in e ². The contribution to physical quantities from the scale 1/eT can be calculated from perturbation theory in the effective theory and is an expansion in e starting at e ³. The electric screening mass squared is computed to order e ⁴.