Visualizing the charge order and topological defects in an overdoped （Bi,Pb）2Sr2CuO6+x superconductor

Electronic charge order is a symmetry breaking state in high-Tc cuprate superconductors. In scanning tunneling microscopy, the detected charge-order-induced modulation is an electronic response of the charge order. For an overdoped(Bi,Pb)2Sr2CuO6+x sample, we apply scanning tunneling microscopy to explore local properties of the charge order. The ordering wavevector is nondispersive with energy, which can be confirmed and determined. By extracting its order-parameter field, we identify dislocations in the stripe structure of the electronic modulation, which correspond to topological defects with an integer winding number of ±1. Through differential conductance maps over a series of reduced energies, the development of different response of the charge order is observed and a spatial evolution of topological defects is detected. The intensity of charge-order-induced modulation increases with energy and reaches its maximum when approaching the pseudogap energy. In this evolution, the topological defects decrease in density and migrate in space. Furthermore, we observe appearance and disappearance of closely spaced pairs of defects as energy changes. Our experimental results could inspire further studies of the charge order in both high-Tccuprate superconductors and other charge density wave materials.     

Nonlinear transport in {\sf \beta}-Na 0.33V 2O 5

Transport properties of the charge ordering compound β-Na_0.33V₂O₅ are studied in the temperature range from 30 K to 300 K using current driven DC conductivity experiments. It is found that below the metal-insulator transition temperature ( ) this material shows a nonlinear charge density modulation behavior. The observed conductivity is discussed in terms of a classical domain model for charge density modulation transport.     

Electron bunch interaction with a monochromatic electromagnetic wave

A technique of modulation of the charge density in a bunch when it interacts with a linearly polarized laser beam is developed. Solution of the problem is based on the numerical method for determination of interaction time of different electrons in the bunch flying through the interaction region, with use of an integral of motion of an electron in the monochromatic electromagnetic field. It is shown that in the terahertz frequency range, at high values of the field strength, sufficiently harddriving modulation of the charge density in the bunch may be obtained. High efficiency of the bunch charge density modulation is demonstrated in plots for different electrodynamical parameters.     

Optical studies of the electrode-electrolyte solution interphase using reflectance methods: II. The electroreflectance effect at a lead electrode

The electroreflectance spectrum of lead in contact with aqueous sodium fluoride has been measured as a function of surface charge density. Spectra were calculated assuming modulation of both free electron density and of interband transition energies and these were fitted to the experimental data. Three interband transitions were considered and the degrees of modulation of their energies were used as empirical fitting parameters. It was found necessary to include these interband effects at all values of surface charge.     

Charge and orbital order in Fe3O4

Charge and orbital ordering in the low-temperature monoclinic structure of magnetite (Fe3O4) is investigated using the local spin density approximation with Coulomb interaction correction method. While the difference between t(2g) minority occupancies of Fe(2+)(B) and Fe(3+)(B) cations is large and gives direct evidence for charge ordering, the screening is so effective that the total 3d charge disproportion is rather small. The charge order has a pronounced [001] modulation, which is incompatible with the Anderson criterion. The orbital order agrees with the Kugel-Khomskii theory.     

Electric convection of low-conductivity liquid in a horizontal capacitor in the presence of unipolar charge injection

Electric convection of low-conductivity liquid in a horizontal plane capacitor is analyzed with allowance for unipolar charge injection. Dynamics of charge transfer through stationary isothermal liquid in the presence of modulated electric field is studied. Effect of modulation amplitude and frequency on the spatiotemporal distribution of charge density and electric potential is considered. Nonlinear electric convection of nonisothermal low-conductivity liquid is studied in the presence of static electric field in a 2D system. Hysteresis transitions between two different (with respect to intensity) regimes of electric convection are analyzed.     

Instabilities due to charge-density-curvature coupling in charged membranes

Instabilities are caused by the reduction in the electrostatic energy when the membrane is curved with the higher charge density on the bilayer which is stretched by the curvature. In a bilayer where the charges can flip from one lipid layer to the other, there is a thermodynamic instability to a spontaneously curved state with different charge densities on the two sides. If the charges are not permitted to flip, there is a dynamical instability due to the correlated modulation of the charge density and curvature fields. Numerical estimates show that these effects are present in parameter regimes relevant to biological systems.     

准一维电荷密度波材料Ta2NiSe7 的转角及变温拉曼光谱研究

近年来, 低维过渡金属硫族化合物Ta2NiSe7 因其独特的电荷密度波和特殊的拓扑能带结构而引起广泛关注. 本文利用拉曼光谱技术对准一维电荷密度波材料Ta2NiSe7 的声子模式进行了系统研究. 角度依赖的偏振拉曼光谱实验表明室温下可以观测到19 个拉曼峰, 且所有观察到的拉曼模式强度随样品旋转呈周期性变化, 这意味着Ta2NiSe7 具有较高的面内各向异性. 通过群论分析, 我们确定了拉曼峰的具体模式为Ag 和Bg 两种原子振动模式. 在温度依赖的偏振拉曼光谱测量中, 我们在低温下还观察到了新的声子峰, 推测与电荷密度波结构调制引起的晶格畸变有关. 本研究提供了对Ta2NiSe7 声子振动的全面理解, 这可能为进一步研究电荷密度波与声子振动之间的关联提供参考意义.     

Induced torque of sodium measured by a modulation method

The induced torque in sodium detected by a new modulation method is anisotropic with twofold anisotropy at low fields. Fourfold torque does not develop in magnetic fields up to 2 T as is observed in potassium. The results are not explained completely by the theory of Lass assuming ellipsoidal boundary conditions or by the theory of Bishop and Overhauser for the charge density wave model.     

Spectral dependence of cross-talk between photorefractive gratings in Bi12SiO20 in diffusion regime

12 SiO₂₀ crystals in the diffusion regime. We find unusually high cross-talk for two gratings with close spatial frequencies at wavelengths 488 and 476 nm. The results indicate that the density of free charge carriers does not directly follow light modulation at low spatial frequencies. Received: 2 December 1996/Revised version: 20 February 1997     

Metallic electroreflectance obtained from single crystalline n-RuS2/electrolyte interfaces

Comparison of electroreflectance (ER) data for the n-RuS₂/electrolyte interface with results from photoelectrochemical investigations provides evidence for the appearance of a metallic ER effect originating from a modulation of the surface state charge carrier density due to Fermi level pinning. This finding could be relevant for the interpretation of the catalytic behaviour of these systems.     

Anisotropic electromagnetic response of lightly doped La2-xSrxCuO4 within the CuO2 planes

Using infrared spectroscopy, we show that spin self-organization in untwinned La2-xSrxCuO4 (LSCO) crystals has profound consequences for the dynamical conductivity sigma(omega). The electronic response of CuO2 planes acquires significant anisotropy in the spin ordered state with enhancement of the conductivity along the direction of the diagonal spin stripes by up to a factor of 2. An examination of the anisotropic response indicates that the diagonal spin texture in weakly doped LSCO is also accompanied by the modulation of charge density. The electronic response of the charge stripes is found to be gapless consistent with the hypothesis of the metallic ground state. Our experiments directly show that the striped ordered systems reveal new degrees of freedom not present in ordinary one-dimensional conductors.     

Quasiperiodic hubbard chains

Low-energy properties of half-filled Fibonacci Hubbard models are studied by weak-coupling renormalization group and density matrix renormalization group methods. In the case of diagonal modulation, weak Coulomb repulsion is irrelevant and the system behaves as a free Fibonacci chain, while for strong Coulomb repulsion the charge sector becomes a Mott insulator and the spin sector behaves as a uniform Heisenberg antiferromagnetic chain. The off-diagonal modulation always drives the charge sector to a Mott insulator and the spin sector to a Fibonacci antiferromagnetic Heisenberg chain.     

Effect of incidence angle on the electrical parameters of vertical parallel junction silicon solar cell under frequency domain

The effect of incidence angle on the electrical parameters of vertical parallel silicon solar cell under frequency domain was theoretically analyzed. Based on the diffusion-recombination equation, the expression of excess minority carrier density in the base was established according to the modulation frequency and the illumination incidence angle. The excess minority carrier density, the photocurrent density, the photo voltage, series resistance, shunt resistance, electric power and the space charge region capacitance were calculated and plotted. The objective of this work was to show the effects of solar cell modulation frequency and the illumination incidence angle on these electrical parameters, electric power and space charge region capacitance. Plots of solar cell’s electric power with the junction recombination velocity gave the maximum solar cell’s electric power; Pm. Influence of various parameters of incidence angles on the solar cell’s electric power was also studied.     

Strain amplification of the 4k_(F) chain instability in Sr14Cu24O41

We used resonant soft x-ray scattering to study the chain ordering in Sr14Cu24O41 (SCO). We observed, for the first time, both the chain and ladder orders in SCO with the same probe. We found that the chain modulation in SCO is incommensurate with wave vector L_(c)=0.318, is strongly temperature (T) dependent, and is accompanied by a substantial hole modulation. By contrast, the chain modulation in a hole-depleted control sample La6Ca8Cu24O41 was commensurate (L_(c)=0.3), T independent, and purely structural. We conclude that the chain charge order in SCO is a 4k_(F) charge density wave stabilized by the misfit strain between the ladder and chain substructures.     

Twelve-fold quasicrystal and its approximant of Ta62Te38 interpreted as modulated crystals

A transmission electron microscopy study reveals that the twelve-fold quasicrystal and its approximant in Ta62Te38 are crystals subjected to the structure modulation. It is composed of two modulated layers rotated by 30 degrees (or 90 degrees) to each other about their normal. Structures of the twelve-fold quasicrystal and its approximant can be related by modulation waves with the same directions but with slightly different wavelengths. The modulation is considered to be due to the rearrangement of atomic vacancies as a response to the occurrence of charge density waves.     

Stripes and superconductivity in a one-dimensional self-consistent model

We show that many observable properties of high-temperature superconductors can be obtained in the framework of a one-dimensional self-consistent model with included superconducting correlations. Analytical solutions for spin, charge, and superconductivity order parameters are found. The ground state of the model at low hole doping is a spin-charge solitonic superstructure. Increased doping leads to a transition to the superconducting phase. There is a region of doping where superconductivity, spin density wave, and charged stripe structure coexist. The charge density modulation appears in the vicinity of vortices (kinks in the 1D model) in the superconducting state.     

Pseudogap formation in copper oxide superconductors with inclusion of spin and charge fluctuations

The influence of spin and charge fluctuations on the pseudogap formation in cuprate superconductors has been studied using the diagram technique for Hubbard operators. It has been shown that the joint inclusion of the spin and charge fluctuations leads to the formation of “shadow” bands with a strong modulation of the spectral intensity and to a decrease in the density of electronic states at the Fermi level.     

Continuous charge modulated diagonal phase in manganites

We present a novel ground state that explains the continuous charge modulated diagonal order recently observed in manganese oxides, at hole concentrations x larger than one-half. In this diagonal phase the charge is modulated with a predominant Fourier component inversely proportional to 1-x. Magnetically this state consists of antiferromagnetically coupled zigzag chains. For a wide range of physical parameters such as electron-phonon coupling, antiferromagnetic interaction between Mn ions, and on-site Coulomb repulsion, the diagonal phase is the ground state of the system. Also we find that the diagonal modulation of the electron density is only a small fraction of the average charge, a much smaller modulation than the one obtained by distributing Mn+3 and Mn+4 ions. We discuss also the spin and orbital structure properties of this new diagonal phase.     

Weakly relativistic and space charge effects in interaction of high-power microwave with plasma

In the present work, numerical studies on the effects of weakly relativistic ponderomotive force and space charge in the nonlinear interaction of a high-power microwave beam with a plasma are carried out. It is shown that, the profiles of the electron density and dielectric permittivity contain high peaks, and modulation of wavelength occurs in electron density distribution by increasing the microwave energy flux. In addition, it is indicated that the profiles of the electric and magnetic fields in relativistic regime are lengthened more than non-relativistic regime by increasing the initial electron density and the relativistic effects cause the increase in oscillation wavelength of electron density, dielectric permittivity and space charge field, in comparison with the non-relativistic regime. Finally, the results of the research show that the steepening in electron density distributions and their oscillation wavelength are enhanced, when the relativistic effects appear.