Dispersion of empty surface states on Ni(1 1 0)

We have used k-resolved bremsstrahlung isochromat spectroscopy at $\text{h}\text{?}\text{ω=9.5eV}$ to investigate Ni(1 1 0) along the ΓKL bulk mirror plane. Empty surface states of both the crystal-induced and image-potential-induced type have been detected besides two bulk direct transitions. We studied their different behaviour against oxygen contamination and mapped their energy dispersion E(k_∥) along the ΓY direction of the surface Brillouin zone.     

Energy band structure of TiO2 and it's dependence on uniaxial stress

The electronic band structure of titanium dioxyde is calculated. The evolution of the levels and of the optical transitions under an uniaxial stress along the c axis has also been calculated.We confirm the existence, of a first order forbidden direct optical gap, and of a maximum along the Δ direction; the theoretical pressure coefficients ?E/?P for the Γ⁺₇ → Γ⁺₆ and Δ₅ (max) → Γ⁺₆ transitions are respectively 0.600 and 0.950 meV kbar^-1 while the corresponding experimental values are 0.625 and 0.985 meV kbar^-1.     

The martensitic transition in A15 compounds— the elastic softening in the low temperature phase

By taking into account the recent electronic band calculations for A15 compounds, the two bands evolving from the Γ₁₂ states are investigated by the k - p perturbation theory in order to clarify the origin of the martensitic transition. The second order martensitic transition and the arrest of the elastic softening in (c₁₁ - c₁₂) are obtained.     

Method of envelope functions and intervalley Γ-X z interaction of states in (001) III–V semiconductor heterostructures

The kp method is used to analyze the problem of intervalley Γ-X _z interaction of conduction-band states in the (001) lattice-matched III–V semiconductor heterostructures. A convenient basis for expansion of the wave function is systematically selected and a multiband system of equations is derived for the envelope functions which is then reduced to a system of three equations for three valleys Γ₁, X ₁, and X ₃) by using a unitary transformation. Intervalley Γ-X _z mixing is described by short-range potentials localized at heterojunctions. The expressions for the parameters determining the Γ-X _z mixing strength explicitly contain the chemical-composition profile of the structure since mixing is naturally stronger for abrupt heterojunctions than for structures with a continuously varying chemical composition. It is shown that direct Γ_{1?X 1} interaction of comparable strength to the Γ₁?X ₃ interaction exists. This must be taken into account when interpreting tunnel and optical experiments since the X ₁ valley is substantially lower in energy than the X ₃ valley.     

Electron and nuclear magnetic resonances associated with magnetoelectric and antiferroelectric interactions in the exchange-noncollinear (“square”) chiral antiferromagnet Nd<Subscript>2</Subscript>CuO<Subscript>4</Subscript> and their behavior in chiral phase transitions

Experiments with the tetragonal antiferromagnet Nd₂CuO₄ in the temperature range 1.5 K < T < T _N = 245 K show that the magnetic moments of Cu²⁺ possess an exchange-noncollinear magnetic structure of the “square” type, which has the form of an exchange doublet whose components exhibit different chiralities (Γ₄ and Γ₅ phases). Between these phases, consecutive phase transitions Γ₄ ? Γ₅ ? Γ₄ with a change in chirality take place at temperatures T₁ = 30 K and T₂ = 70 K. The electron and nuclear magnetic resonances (natural frequencies and susceptibilities) associated with excitation of magnons (due to the magnetoelectric and antiferroelectric interactions) by an ac electric field E(t), as well as a variable magnetic field H(t) applied in the case of a constant electric field E⁰, are calculated. It is predicted that nuclear magnetic resonance is excited by an ac electric field at frequencies determined by hyperfine fields of the sublattices. The change in the resonance frequencies upon the above chiral phase transitions are analyzed (being first-order phase transitions, these transitions possess a number of features associated with the chirality of the magnetic structures).     

Asymptotic form of two-particle density matrix in atoms and molecules

For atoms and molecules with N electrons, the two-particle density matrix Γ_N(r′₁r′₂r₁r₂ is expressed in terms of the single-particle density matrix γN?1(r′₂r₂) for N?1 electrons for the sufficiently large r′₁ and r₁.     

Magnetooptical evidence of exchange interactions in zero-gap Hg1−xFexTe mixed crystals

Interband magnetoabsorption is carried out on zero gap Hg_1-xFe_xTe alloys of x ～ 0.015.Γ₆ → Γ₈ magnetooptical spectra for σ⁺, σ^-, γ 6 H polarization are quantitatively interpreted within the “quasi Ge” model modified by the inclusion of exchange contributions. The field dependence of the magnetization provides evidence of antiferromagnetic interactions between localized spins.     

Band structure of platinum from angle resolved photoemission experiments

Angle-resolved and angle-dispersed ultraviolet photoelectron spectroscopy (ARUPS) has been used to determine the experimental band structure of platinum at various points along the ΓX, ΓKX and ΓL directions in the Brillouin zone. Various methods have been employed to obtain the E(k) points, among them absolute methods which determine the energy and the momentum independently without any assumption about the final state dispersion. The experimental points are compared with a self-consistent relativistic band structure calculation for energies below and above the Fermi energy. Good agreement between theory and experiment is found.     

Determination of temperature dependence of energy gap in HgTe by oscillatory magnetotransmission measurements

Interband Γ₆ → Γ₈ magnetotransmission measurements have been performed of HgTe for ten values of temperature, between 8 K and 92 K, in the magnetic field up to 60 kG. The results are interpreted using the many-level model of Pidgeon and Brown. The energy gap dependence versus temperature has been found. The others kp parameters show no systematic temperature variation within the experimental uncertainty.     

Measurement of leptonic branching ratios of the Γ(9.46)

The electronic width Γ _ee and the muonic branching ratioB _μμ =Γ _μμ /Γ_tot of the Γ(9.46) have been measured as Γ _ee =(1.33±0.14) andB _μμ=(2.2±2.0)%. From these values a lower limit of Γ_tot<23keV for the total width of the Γ(9.46) is obtained.     

Mössbauer studies of dilute Au:Er alloys: Obervation of hyperfine structure of ground and excited CEF levels

The hyperfine structure of dilute ¹⁶⁶Er impurities in Au has been investigated between 1.8 and 60 K by Mössbauer spectroscopy. The hyperfine spectrum of the Γ₇ electronic ground state is clearly observed below 4.2 K while at higher temperatures there is an indication of the contribution from the excited CEF-states Γ⁽¹⁾₈ and Γ₆. Using Hirst's relaxation theory for the Γ₇ ground state the magnetic hyperfine coupling constant A=(247±3) MHz and the exchange coupling constant J_sf=(0.10±0.02)eV were derived. A quadruple coupling constant B of about 1 MHz was estimated from the hyperfine pattern of the Γ⁽¹⁾₈ quartet.     

Magneto-optical studies of excitons in AgGaS2

The reflection, absorption and luminescence spectra of the lowest excitons in AgGaS₂ are measured in magnetic fields. The results can be explained by the quasicubic model. The exchange splittings of the Γ₄, Γ₅ and Γ₃ exciton state are evaluated. The Zeeman splittings of the Γ₅ and Γ₅-Γ₃ states yield g-values of + 3.8 and 3.7, respectively. They are determined mainly by the contributions of the hole and conduction electron spins.     

Polarized ARPES spectra of undoped cuprates

The spectral density (SD) in the ARPES spectra of antiferromagnetic (AFM) dielectrics Sr₂CuO₂Cl₂ and Ca₂CuO₂Cl₂ along the principal symmetry directions of the Brillouin zone was studied by the generalized tight binding method. At the valence band top of these undoped cuprates in the AFM state, there is a pseudogap of magnetic nature with E _s(k)～0–0.4 eV between a virtual level and the valence band proper. The observed similarity of dispersion along the Γ-M and X-Y directions can be explained by the proximity of the ³ B _1g triplet and the Zhang-Rice singlet levels. The value of parity of the polarized ARPES spectra at the Γ, M, and X points calculated for the AFM phase of undoped cuprates with an allowance for the partial contributions is even. The conditions favoring observation of the partial contributions in polarized ARPES spectra are indicated. Due to the spin fluctuations, the virtual level acquires dispersion and possesses a small spectral weight. Probably, this level cannot be resolved on the background of the main quasi-particle peak as a result of the damping effects.     

Properties of the absorption spectrum due to the Gamma;1+ → Γ4− transition

We present results for the absorption spectrum due to a localized Γ₁⁺ → Γ₄^? transition that take into account the properties of the linear electron- phonon (e-p) interactions transforming as Γ₁⁺, Γ₃⁺ and Γ₅⁺ in the excited electronic state, in the cases of strong and weak e-p interaction coupling. We show that in the strong e-p interaction coupling limit the asymmetric shape of the structured band is due to the commutation relations of the e-p interaction matrices. Moreover, in the weak coupling limit we present an expression for the spectrum line shape obtained by taking into account the time ordering of the e-p interaction matrices and the phonon propagators at all times. It is shown in the latter case that the densities of phonon states corresponding to the electronic excited state are different from those corresponding to the ground state, and the e-p coupling constants are redefined due to the Jahn-Teller interactions.     

Composition dependence of fundamental edge in Ga1−xAlxSb alloys

The fundamental edge of Ga_1-xAl_xSb alloys has been measured at room temperature. Piezomodulated reflection and transmission measurements permited to obtain the variation with composition of the Γ_15v ? Γ_1c and Γ_15v ? X_1c gaps and to deduce for the direct indirect crossover composition a value of x_c = 0.4 ± 0.02.     

Relaxation effects in the ESR of Gd in the metallic Van-Vleck paramagnet: PrSb

The ESR g shift and linewidth of Gd in the metallic Van-Vleck paramagnet, PrSb, exhibit appreciable change upon increasing the temperatures above T = 20 K. A model is suggested to explain the linewidth behavior. It is argued that while the g shift behavior is mainly associated with the admixture of the first excited crystalline field level, Γ₄, into the singlet ground state Γ₁, the relaxation is primarily via the Γ₅ excited state of Pr³⁺     

Investigation of the mechanisms of exciton coherence relaxation in single GaAs/AlGaAs quantum wells by the methods of excitonic induction

The mechanisms of exciton coherence relaxation in GaAs quantum wells in the linear mode have been experimentally investigated. An experimental technique has been developed for measuring the total phase relaxation rate, rates of reversible and temperature-irreversible excitonic phase relaxation, and the radiative decay rate Γ _R of excitonic polarization. The experimental values of Γ _R for a quantum well of specified thickness, obtained for a series of samples, have a spread not larger than 15%. This accuracy made it possible to estimate the shape of the dependence of Γ _R on the well thickness L _Z . It is experimentally found that Γ _R is temperature-independent up to 80 K.     

Correlation between transport properties and quasielastic linewidths of Ce and Yb compounds with unstable 4f-shell

From an analysis of available data it is shown that there is experimental evidence for a rather general correlation of electrical resistivity, ϱ, and thermopower with the quasielastic linewidth of the neutron spectra, Γ_QE, for intermetallic Ce- and Yb-compounds with an unstable 4f-shell. At high temperatures, k_BT > Γ_QE, the 4f-contribution to the resistivity, Δϱ, scales with Γ⁻¹_QE. For Ce-compounds, which show a resistivity maximum, the measured strong temperature dependence of Γ_QE corresponds to the temperature dependence of the resistivity above the resistivity maximum over a few hundred K. Empirical expressions for resistivity and thermopower are presented, which not only yield the observed correlation for k_BT > Γ_QE, but which also describe the low temperature decrease of the two quantities: Fits for the resistivities and the thermopowers of a large number of Ce- and Yb-compounds are is very good agreement with the data over a large range of temperatures. The correlation as well as the empirical expressions for resistivity and thermopower are discussed within a model of M. Weger, which has recently been proposed to account for the so called “resistivity saturation” observed in materials with narrow bands.     

Vibronic model of the stress effects on the relaxed excited state of the F center

A vibronic model of the stress effects on the relaxed excited state of the F center is studied by taking into account the Γ⁺₁, Γ⁺₃, and Γ^-₄-mode phonons. The vibronic parameters and stress coupling coefficients are determined for KCl. The orbital reduction is discussed.     

Spatial dispersion in polariton spectra of CuGaS2 crystals

The unmodulated and wavelength-modulated reflectivity spectra of CuGaS₂ crystals for the polarization E ‖ c, k ⊥ c at 77 and 8 K have been studied. The states n=1, 2, and 3 of A excitons and n=1 and 2 of B and C excitons are established. The luminescence spectra from the surface at k ‖ c and k ⊥ c are obtained. The fine structure of the reflectivity spectra of excitons are analyzed with due regard for the normal and oblique incidence of light onto the crystal surface. The main parameters of the A, B, and C excitonic series are determined such as the energies of the longitudinal and transverse excitons Γ₄ (E ‖ c) for states n=1 and 2, the longitudinal and the transverse mass of excitons in CuGaS 2, and the effective masses of electrons (m _c1*) and holes (m _v1*, m _v2*, m _v3*). It is shown that the mass m _v1* in the upper valence band at k ‖ c equals (0.7–0.8)m ₀ and at k ⊥ c, 1.87m ₀.