Solitonic approach to the dimerization problem in correlated one-dimensional systems

Using exact diagonalizations we consider self-consistently the lattice distortions in odd Peierls-Hubbard and spin-Peierls periodic rings in the adiabatic harmonic approximation. From the tails of the inherent spin soliton the dimerization d_\infty of regular even rings is found by extrapolations to infinite ring lengths. Considering a wide region of electron-electron onsite interaction values U>0 compared with the band width 4t_0 at intermediately strong electron-phonon interaction g, known relationships obtained by other methods are reproduced and/or refined within one unified approach: such as the maximum of d_\infty at U \simeq 3 t_0 for g \simeq 0.5 and its shift to zero for g \to g_c \approx 0.7. The hyperbolic tangent shape of the spin soliton is retained for any U and g <~ 0.6. In the spin-Peierls limit the d_\infty are found to be in agreement with results of DMRG computations.Comment: 4 pages, 4 figures, Physical Review B, Rapid Communications, v. 56 (1997) accepte

Global Solutions for Incompressible Viscoelastic Fluids

We prove the existence of both local and global smooth solutions to the Cauchy problem in the whole space and the periodic problem in the n-dimensional torus for the incompressible viscoelastic system of Oldroyd-B type in the case of near equilibrium initial data. The results hold in both two and three dimensional spaces. The results and methods presented in this paper are also valid for a wide range of elastic complex fluids, such as magnetohydrodynamics, liquid crystals and mixture problems.Comment: We prove the existence of global smooth solutions to the Cauchy problem for the incompressible viscoelastic system of Oldroyd-B type in the case of near equilibrium initial dat

The unusual electronic structure of the "pseudo-ladder" compound CaCu2O3

Experimental and theoretical studies of the unoccupied electronic structure of CaCu2O3 single crystals have been performed using polarization-dependent x-ray absorption spectroscopy and band structure calculations. The measured hole distribution shows an unusual large number of holes in orbitals parallel to the interlayer direction which is in agreement with the theoretical analysis. CaCu2O3 deviates significantly from the standard pd-sigma cuprate picture. The corresponding strong interlayer exchange is responsible for the missing spin gap generic for other two-leg ladder cuprates.Comment: 4 pages, 3 figures include

Electronic structure and magnetic properties of the linear chain cuprates Sr_2CuO_3 and Ca_2CuO_3

Sr_2CuO_3 and Ca_2CuO_3 are considered to be model systems of strongly anisotropic, spin-1/2 Heisenberg antiferromagnets. We report on the basis of a band-structure analysis within the local density approximation and on the basis of available experimental data a careful analysis of model parameters for extended Hubbard and Heisenberg models. Both insulating compounds show half-filled nearly one-dimensional antibonding bands within the LDA. That indicates the importance of strong on-site correlation effects. The bonding bands of Ca_2CuO_3 are shifted downwards by 0.7 eV compared with Sr_2CuO_3, pointing to different Madelung fields and different on-site energies within the standard pd-model. Both compounds differ also significantly in the magnitude of the inter-chain dispersion along the crystallographical a-direction: \approx 100 meV and 250 meV, respectively. Using the band-structure and experimental data we parameterize a one-band extended Hubbard model for both materials which can be further mapped onto an anisotropic Heisenberg model. From the inter-chain dispersion we estimate a corresponding inter-chain exchange constant J_{\perp} \approx 0.8 and 3.6 meV for Sr_2CuO_3 and Ca_2CuO_3, respectively. Comparing several approaches to anisotropic Heisenberg problems, namely the random phase spin wave approximation and modern versions of coupled quantum spin chains approaches, we observe the advantage of the latter in the reproduction of reasonable values for the N\'eel temperature T_N and the magnetization m_0 at zero temperature. Our estimate of $J_{\perp}$ gives the right order of magnitude and the correct tendency going from Sr_2CuO_3 to Ca_2CuO_3. In a comparative study we also include CuGeO_3.Comment: 23 pages, 5 figures, 1 tabl

Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model

We revisit the ground-state phase diagram of the one-dimensional half-filled extended Hubbard model with on-site (U) and nearest-neighbor (V) repulsive interactions. In the first half of the paper, using the weak-coupling renormalization-group approach (g-ology) including second-order corrections to the coupling constants, we show that bond-charge-density-wave (BCDW) phase exists for U \approx 2V in between charge-density-wave (CDW) and spin-density-wave (SDW) phases. We find that the umklapp scattering of parallel-spin electrons disfavors the BCDW state and leads to a bicritical point where the CDW-BCDW and SDW-BCDW continuous-transition lines merge into the CDW-SDW first-order transition line. In the second half of the paper, we investigate the phase diagram of the extended Hubbard model with either additional staggered site potential \Delta or bond alternation \delta. Although the alternating site potential \Delta strongly favors the CDW state (that is, a band insulator), the BCDW state is not destroyed completely and occupies a finite region in the phase diagram. Our result is a natural generalization of the work by Fabrizio, Gogolin, and Nersesyan [Phys. Rev. Lett. 83, 2014 (1999)], who predicted the existence of a spontaneously dimerized insulating state between a band insulator and a Mott insulator in the phase diagram of the ionic Hubbard model. The bond alternation \delta destroys the SDW state and changes it into the BCDW state (or Peierls insulating state). As a result the phase diagram of the model with \delta contains only a single critical line separating the Peierls insulator phase and the CDW phase. The addition of \Delta or \delta changes the universality class of the CDW-BCDW transition from the Gaussian transition into the Ising transition.Comment: 24 pages, 20 figures, published versio

THE INFLUENCE OF SURFACE EFFECTS ON THE PYROELECTRIC BEHAVIOUR OF T. G. S. CLOSE TO THE PHASE TRANSITION

Une étude du coefficient pyroélectrique p* a été réalisée pendant une élévation de température à taux constant compris entre 0,03 et 1,5 °C.s-1. On a trouvé que p* varie avec l'épaisseur (quand celle-ci décroît de 3 mm à 0,4 mm, p* décroît 8 fois). Ces variations sont expliquées par l'existence de couches de surface ferroélectriquement inactives. Leur influence doit se manifester dans toute méthode de mesure.From the study of pyroelectric coefficient p* during constant-rate-temperature-increase (0,03-1,5 °C.s-1) its thickness dependence was found (for the thickness decrease from 3 mm to 0,4 mm p* decreases eight times) and explained by the influence of ferroelectrically inactive surface layers. The effect is to be expected at any measuring method

A Variant of EFICA Algorithm with Adaptive Parametric Density Estimator

Abstract: FastICA is a popular method for Independent Component Analysis used for separation of linearly mixed independent sources. The separation proceeds through optimization of a contrast function that is based on kurtosis or other entropy approximations using a nonlinear function. The EFICA algorithm is a recently proposed version of this algorithm that is asymptotically efficient when all source distributions are from the Generalized Gaussian family. It is known that the optimal nonlinearity for entropy estimation is the score function of the source distribution. For its evaluation the knowledge of the probability density function (pdf) of the source signals is necessary. Because these pdfs are unknown, the EFICA algorithm assumes that the distribution is Generalized Gaussian Distribution, calculates its parameter α for each source and selects one nonlinearity from the available set for fine tuning of the sources. This paper proposes to modify the EFICA algorithm by parametric estimation of the real score function, which is subsequently used as the contrast function in fine tuning iterations. The algorithm is tested on artificial data; the results are compared to original EFICA, FastICA and JADE. I

Superplastic Behaviour of an Mg-Ag-RE Magnesium Alloy

Fine-grained magnesium alloy QE22 (Mg-2.5wt.%Ag-2.5wt.%RE-0.6wt.%Zr) was prepared from cast ingot which was submitted to a two stages heat treatment. Subsequently the billet was overaged and extruded at high temperature. Samples were deformed at elevated temperatures from 380°C up to 480°C at various strain rates. Microstructure of deformed samples was studied using light and electron microscopy. Conditions for superplasticity of the investigated alloys have been estimated. Possible deformation mechanisms are discussed