In-plane conductivity of a layered large-bipolaron liquid

Distinctive normal-state properties of cuprate superconductors follow from their charge carriers forming a large-bipolaron liquid. The very weak scattering of the liquid’s slow-moving heavy-massed excitations by acoustic phonons yields a scattering rate that is less than the Debye frequency. The liquid’s moderate mobility, >1 cm²/V-sec at 300 K, results from its weak scattering compensating for its large mass. In resolution of a long-standing dilemma, the dc resistivity resulting from scattering by long-wavelength phonons remains nearly proportional to temperature to well below the Debye temperature. Above the Debye frequency, the frequency-dependent conductivity is dominated by excitation and photo-ionization of the liquid’s self-trapped electronic carriers. Below the Debye frequency, the frequency-dependent conductivity is dominated by the liquid’s Drude-like collective motion. The ‘gap’ between these two domains sharpens with decreasing temperature as phonon scattering of the liquid’s collective excitations diminishes. The high-frequency electronic excitations survive in the superconducting state.     

Wall effects in one-dimensional jellium

The one-particle canonical distribution function near a wall is investigated by different methods. Results illustrate the “crystalline” state predicted by Kunz.     

Relativistic effects in one-dimensional hydrogen atom

The dependence of stationary levels of a Dirac particle in the regularized Coulomb potential V _??(z) = ?q/(|z| + ??) on the cutoff parameter ?? is studied. It is shown that, in 1 + 1 D, the energy spectrum of a Dirac particle in such a potential reveals some specific features which nonanalytically depend on the coupling constant q and are essentially relativistic in nature. These properties turn out to be most important for ?? ? 1, explicitly demonstrating the existence of a physically reasonable energy spectrum for an arbitrarily small ?? > 0 and, at the same time, the absence of regular limit ?? ?? 0 (hence, the absence of a well-defined spectral problem for the Dirac equation without regularization for arbitrary q in 1 + 1 D).     

Polaronic effects in one-dimensional quantum antidot arrays

We study the effect of polaronic corrections arising from theelectron-longitudinal optical phonon interaction on the energyspectrum of a two-dimensional electron system with a one-dimensionalperiodic antidot array geometry created by a weak electrostaticmodulation potential, and subjected to a weak magnetic fieldmodulation as well as a uniform strong perpendicular staticmagnetic field. To incorporate the effects of electron-phononinteractions within the framework of Fröhlich polaron theory, wefirst apply a displaced-oscillator type unitary transformation todiagonalise the relevant Fröhlich Hamiltonian, and we thendetermine the parameters of this transformation together with theparameter included in the electronic trial wave function . On thebasis of this technique, it has been shown that the polaroniccorrections have non-negligible effects on the electronic spectrumof a two-dimensional electron system with a quantum antidot array,since switching such an interaction results in shifting thedegeneracy restoring points of Landau levels wherein the flatbandcondition is fulfilled, thus suppressing the Weiss oscillations.     

Noncomplanarity effects in the one-dimensional spin-dependent scattering

The scattering of a spin-polarized quantum wave on a potential barrier is investigated. The vectors of spin-polarization of incident wave and the internal magnetic field (magnetization) of the barrier are not generally located in the same plane and they form a noncomplanar system. The dependences of the polarization vectors of waves scattered forward and backward on the degrees of freedom determining the orientation of the barrier magnetization are investigated.     

Correlation effects in the one-dimensional Bose gas

We discuss interaction effects for the one-dimensional Bose gas with a repulsive delta-function interaction potential. We use the random-phase approximation and a finite local-field correction. Analytical results are given for the local-field correction, the pair-correlation function and the ground-state energy. The groundstate energy is found to be in much better agreement with the exact result than the ground-state energy calculated within the Bogoliubov approximation, where local-field corrections are neglected.     

Size effects in photoemission of one-dimensional metals

High-resolution photoemission spectra of an array of one-dimensional (1D) metallic chains created on Si(335) reveal characteristic features precluding any interpretation within known theoretical models. The origin of this dilemma is attributed to imperfections acting as boundaries in 1D systems. A simple model calculation including a Coulomb shift in the photoemission final state of chain segments yields straight simulations of our spectra and is likely to clarify the confusing situation encountered in this field.     

Spontaneous pattern formation in an effectively one-dimensional dielectric-barrier discharge system

In a dielectric-barrier discharge between diametrically opposite sides of a narrow tube, discharge filaments stabilize at regular intervals along the tube's length. Three types of periodic patterns are observed, as is a disordered state in which filaments fire at apparently random positions and times. Time-resolved current measurements indicate that for each spatial pattern, a particular number of discharge stages occur during the voltage half-cycle. A preliminary model of the pattern-formation dynamics is described, motivating further work on time-resolved imaging and investigations of surface charge distributions.     

Memory effects and heat transport in one-dimensional insulators

We study the dynamical correlation functions and heat conduction for the simplest model of quasi one-dimensional (1d) dielectric crystal i.e. a chain of classical particles coupled by quadratic and cubic intersite potential. Even in the weakly nonlinear regime, numerical simulation on long enough chains reveal sizeable deviations from the perturbative results in the form of a slower decay of correlations in equilibrium. Their origin can be traced back to the subtle nonlinear effects described by mode-coupling theories. Measures of thermal conductivity with nonequilibrium molecular-dynamics method confirm the relevance of such effects for low-dimensional lattices even at very low temperatures. Received 20 April 2000     

Thermal effects in exciton harvesting in biased one-dimensional systems

The study of energy harvesting in chain-like structures is important due to its relevance to a variety of interesting physical systems. Harvesting is understood as the combination of exciton transport through intra-band exciton relaxation (via scattering on phonon modes) and subsequent quenching by a trap. Recently, we have shown that in the low temperature limit different harvesting scenarios as a function of the applied bias strength (magnitude of the energy gradient towards the trap) are possible [S.M. Vlaming, V.A. Malyshev, J. Knoester, J. Chem. Phys. 127 (2007) 154719]. This paper generalizes the results for both homogeneous and disordered chains to nonzero temperatures. We show that thermal effects are appreciable only for low bias strengths, particularly so in disordered systems, and lead to faster harvesting.     

Dynamic effects in one-dimensional A′3ABO6

Low-dimensional transition metal oxides provide excellent model systems to study magnetic properties induced by the interplay between low-dimensionality character and frustration. In this work, we study polycrystalline Sr₃NiIrO₆ and Ca₃CoIrO₆ compounds which exhibit at low temperatures a frozen state with notable dynamic effects that can be attributed to the low-dimensionality character. These dynamic effects are probed by AC susceptibility measurements.     

Molecule formation and the Farey tree in the one-dimensional Falicov-Kimball model

The ground-state configurations of the one-dimensional Falicov-Kimball model are studied exactly with numerical calculations revealing unexpected effects for small interaction strength. In neutral systems we observe molecular formation, phase separation, and changes in the conducting properties; while in nonneutral systems the phase diagram exhibits Farey tree order (Aubry sequence) and a devil's staircase structure. Conjectures are presented for the boundary of the segregated domain and the general structure of the ground states.Dedicated to Prof. Philippe Choquard, on the occasion of his 65th birthday, and, by anticipation, in honor of his retirement.