A bipolar charge transport (BCT) model is used to simulate charge injection and transportdynamics inside insulation material which are used in a high voltage direct current (HVDC)cable. Gaining knowledge about space charge density and electric field distribution in theinsulation material enables minimising charge injection at the metal-insulator interface andavoiding unnecessary energy loss. Simulation methods using the numerical Finite ElementMethod (FEM) are implemented in COMSOL multiphysics in order to investigate the effect ofchemical structure such as dipoles, physical defects such as interface roughness and impurityconcentration leading to ions, on the potential barrier and charge injection at the interface.Interface dipoles such as surface dipoles or chemical dipoles can increase or decrease thepotential barrier at the interface depending on direction/orientation of the dipole. Moreover,using a field enhancement factor to include the effect of interface roughness at the interfaceyields increased charge injection when higher values of the field enhancement factor wereused. The barrier height becomes therefore locally lower where the degree of roughness ishigher. Including the effect of ions, the electric field was observed to be enhanced near theelectodes, where it was weakened in the middle of the insulation, depending on the amount ofthe impurity concentration inside the insulation. Improvement on the charge injection lows isalso done using a combination of both Richardson-Schottky and Fowler-Nordheim chargeinjection laws to include both a classical and a quantum mechanical description in the BCTmodel. Solving for the transmission coefficient from Schrödinger equation could improve theaccuracy of Fowler-Nordheim as well. Including potentials due to image effect or chemicalcompositions such as water dipoles will affect the charge injection barrier and the transmission coefficient.

The interplay between different self-organized electronically ordered states and their relation to unconventional electronic properties like superconductivity constitutes one of the most exciting challenges of modern condensed matter physics. In the present thesis this issue is thoroughly investigated for the prototypical layered material 1T-TaS2 both experimentally and theoretically. At first the static charge density wave order in 1T-TaS2 is investigated as a function of pressure and temperature by means of X-ray diffraction. These data indeed reveal that the superconductivity in this material coexists with an inhomogeneous charge density wave on a macroscopic scale in real space. This result is fundamentally different from a previously proposed separation of superconducting and insulating regions in real space. Furthermore, the X-ray diffraction data uncover the important role of interlayer correlations in 1T-TaS2. Based on the detailed insights into the charge density wave structure obtained by the X-ray diffraction experiments, density functional theory models are deduced in order to describe the electronic structure of 1T-TaS2 in the second part of this thesis. As opposed to most previous studies, these calculations take the three-dimensional character of the charge density wave into account. Indeed the electronic structure calculations uncover complex orbital textures, which are interwoven with the charge density wave order and cause dramatic differences in the electronic structure depending on the alignment of the orbitals between neighboring layers. Furthermore, it is demonstrated that these orbital-mediated effects provide a route to drive semiconductor-to-metal transitions with technologically pertinent gaps and on ultrafast timescales. These results are particularly relevant for the ongoing development of novel, miniaturized and ultrafast devices based on layered transition metal dichalcogenides. The discovery of orbital textures also helps to explain a number of long-standing puzzles concerning the electronic self-organization in 1T-TaS2 : the ultrafast response to optical excitations, the high sensitivity to pressure as well as a mysterious commensurate phase that is commonly thought to be a special phase a so-called “Mott phase” and that is not found in any other isostructural modification.

<p>In the present work, the structural, electronic properties, thermodynamic stability and adatom surface movements of oxygen and sulfur adsorption on the Fe surface were studied based on the ab initio method.</p><p>Firstly, the oxygen adsorbed on the iron (100) surface is investigated at the three adsorption sites top, bridge and hollow sites, respectively. Adsorption energy, work function and surface geometries were calculated, the hollow site was found to be the most stable adsorption site, Which is in agreement with the experiments. In addition, the difference charge density of the different adsorption systems was calculated to analyze the interaction and bonding properties between Fe and O. It can be found out that the charge redistribution was related to the geometry relaxation.</p><p>Secondly, the sulfur coverage is considered from a quarter of one monolayer (1ML) to a full monolayer. Our calculated results indicate that the most likely site for S adsorption is the hollow site on Fe (100). We find that the work function and its change Df increased with S coverage, in very good agreement with experiments. Due to a recent discussion regarding the influence of charge transfer on Df, we show that the increase in Df can be explained by the increasing surface dipole moment as a function of S coverage. In addition, the Fe-S bonding was analyzed. Finally, the thermodynamic stabilities of the different structures were evaluated as a function the sulfur chemical potential.</p><p>Finally, a two dimensional (2D) gas model was proposed to simulate the surface active elements, oxygen and sulfur atoms, movement on the Fe (100) surface. The average velocity of oxygen and sulfur atoms was found out to be related to the vibration frequencies and energy barrier in the final expression developed. The calculated results were based on the density function and thermodynamics & statistical physics theories. In addition, this 2D gas model can be used to simulate and give an atomic view of the complex interfacial phenomena in the steelmaking refining process.</p>

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La formation des ondes de densité de charge (ODC) est un phénomène de brisure de symétrie qui apparaît dans systèmes électroniques, et particulièrement dans les conducteurs quasi-unidimensionnels. Elle est observée aussi bien dans les matériaux très anisotropes que les isotropes comme par exemple les supraconducteurs pnictures. L'ODC peut être vue comme une déformation sinusoïdale de la densité électronique et de la modulation du réseau, ou également comme un cristal de singulets électroniques. Dans un état d'ODC, les cellules élémentaires peuvent être modifiées en absorbant ou en rejetant des paires d'électrons. Un tel processus passe par des configurations topologiquement non triviales: des solitons et des dislocations, ou plus généralement des vortex d'ODC. Ces états inhomogènes peuvent être obtenus expérimentalement dans des nano-produits appelés ''mésa-jonctions'', et observés à l'aide d'un microscope à effet tunnel ou d’une radiographie par micro-diffraction. Afin de simuler ces expériences, nous avons réalisé un programme modélisant les états stationnaires d'ODC ainsi que leur dynamique transitoire à travers des géométries restreintes auxquelles sont appliquées une tension ou un courant. Le modèle prend en compte plusieurs champs en interaction non linéaire: le paramètre d'ordre complexe d'ODC, la distribution de champ électrique, ainsi que la densité et le courant des autres porteurs de charge. Nous avons utilisé une approche de type Ginzburg-Landau ainsi qu'une extension basée sur une propriété d'invariance chirale. A l'aide de ce programme, nous avons observé la création progressive de dislocations statiques dans les jonctions. La dynamique transitoire est alors très riche avec notamment des créations, des annihilations et des balayages de vortex multiples. Des chutes de tension apparaissent au centre des dislocations, créant ainsi des jonctions tunnel microscopiques à travers lesquelles transitent des paires électron-trou. Les résultats qualitatifs obtenus sont en très bon accord avec les observations expérimentales. Ce model peut aussi être étendu à tout type de cristaux électronique comme les cristaux de Wigner dans les hétéro-jonctions et les nano-fils, les ODC dans les composés de chaîne, les ondes de densité de spin dans les conducteurs organiques, ou encore les structures de bandes dans les oxydes dopés. La reconstruction des ODC dans les jonctions tunnel peut aussi trouver son importance dans l'étude des effets de champs sur les matériaux fortement corrélés induisant des brisures spontanées de symétries. / Formation of charge density waves (CDW) is a symmetry breaking phenomenon found in electronic systems, which is particularly common in quasi-one-dimensional conductors. It is widely observed from highly anisotropic materials to isotropic ones like the superconducting pnictides. The CDW is seen as a sinusoidal deformation of coupled electronic density and lattice modulation; it can be also viewed as a crystal of singlet electronic pairs. In the CDW state, the elementary units can be readjusted by absorbing or rejecting pairs of electrons. Such a process should go via topologically nontrivial configurations: solitons and dislocations - the CDW vortices. An experimental access to these inhomogeneous CDW states came from studies of nano-fabricated mesa-junctions, from the STM and from the X-ray micro-diffraction. Following these requests, we have performed a program of modeling stationary states and of their transient dynamic for the CDW in restricted geometries under applied voltage or at passing normal currents. The model takes into account multiple fields in mutual nonlinear interactions: the two components of the CDW complex order parameter, and distributions of the electric field, the density and the current of normal carriers. We were using the Ginzburg-Landau type approach and also we have derived its extension based on the property of the chiral invariance. We observed the incremental creation of static dislocations within the junctions. The transient dynamics is very rich showing creation, annihilation and sweeping of multiple vortices. The dislocations cores concentrate the voltage drops thus providing self-tuned microscopic junctions where the tunneling creation of electron-hole pairs can take place. The results obtained from this model agree with experiment observations. The methods can be extended to other types of charge organization known under the general name of the Electronic Crystal. It takes forms of Wigner crystals at hetero-junctions and in nano-wires, CDWs in chain compounds, spin density waves in organic conductors, and stripes in doped oxides. The studied reconstruction in junctions of the CDW may be relevant also to modern efforts of the field-effect transformations in strongly correlated materials with a spontaneous symmetry breaking.

As propriedades das ligações do complexo com metal de transição Cu(II)-L-alanil-L-valina e do composto orgânico Taurina foram determinadas por difração de raios-X a alta resolução. A análise da densidade de carga foi feita com o modelo multipolar de Hansen-Coppens para o estudo topológico da densidade de carga e determinação de populações dos orbitais d do metal. Radiação síncrotron (0.394 Å) e temperatura de hélio vaporizado foram utilizados na coleta de dados de difração de raios-X do complexo metálico. Para o orbital dx2-y2, a população reduzida é descrita pelas zonas de fuga de carga com eixo de simetria 4 nos mapas de deformação estática da densidade e do Laplaciano. Os valores da densidade de carga e das curvaturas nos pontos críticos localizados nas ligações Cu-N e Cu-O, indicam o caráter não iônico dessas ligações. Foi desenvolvido um algoritmo para obter as orientações preferenciais dos orbitais d de metais de transição da primeira linha coordenados em sítios assimétricos. As cargas atômicas foram determinadas por integração da densidade no esquema de partição de átomos topológicos (basins). O estudo de densidade de carga da Taurina foi realizado com dados coletados no difratômetro KappaCCD, usando radiação K\'alfa\' -Mo à temperatura de N2 vaporizado e dados de nêutrons obtidas na literatura. Propriedades topológicas de \'rô\' (\'VET.r\') foram calculadas do modelo. Os valores dos monopólos são comparados com cargas calculadas pela integração de \'rô\' (\'VET.r\') dentro de basins e determinadas por cálculos ab initio. / The bonding properties of the transition metal complex Cu(I1)-L-alanyl-L-valine and the Taurine compound have been determined by high resolution x-ray diffraction. The charge density analysis is performed using the Hansen-Coppens multipole model for both, the topological study of the electron density p(f) and the orbital population\'s analysis of the transition metal. Short wavelength synchrotron radiation (0.394 \'angstrom\') and vaporized helium temperature were used in the x-ray diffraction data collection of the metal complex. For the dx2-y2 orbital, the half population obtained is shown by the 4-fold depletion region in the static deformation and negative Laplacian maps. Values of the charge density and its curvature in the critica1 points located at the Cu-N and Cu-O bonds show the non-ionic character of these interactions. We have derived an algorithm to perform preferencial orientation search for the first row transition metal d-orbitals in non-symmetric sites. Atomic charge integration was carried out applying topological atoms partitioning (basins). The charge density of Taurine has been studied with data collected with a KappaCCD diffractometer using K\'alfa\'-Mo radiation at vaporized N2 temperature and neutron diffraction data obtained from the literature. Topological properties of \'rô\' (\'VET.r\') were calculated from the fitted model. Atomic charges given by the monopole parameters have been compared with those obtained by integration of the atomic basins and theoretical molecular calculations.

Este documento de Tese é o resultado de um trabalho de pesquisa voltado à análise cristalográfica de novas formas sólidas cristalinas derivadas de fármacos antirretrovirais, diante do contexto da engenharia de cristais para o desenho das novas formas sólidas, e principalmente diante da ótica da análise das densidades de carga, o que permitiu um entendimento mais acurado da estrutura eletrônica molecular desta classe de compostos. Compostos farmacêuticos antirretrovirais do tipo inibidores nucleosídeos da transcriptase reversa (INTRs), são de grande importância, uma vez que são amplamente usados na terapêutica antirretroviral, principalmente contra o vírus HIV. Nesse contexto, são conhecidos alguns problemas associados na manufatura destes fármacos, principalmente aos processos de extração e purificação dos fármacos Lamivudina (3TC) e Emtricitabina (FTC). Diante desta problemática, a engenharia de cristais fornece uma solução, mediante o planejamento racional de formas sólidas (sais, cocristais, solvatos, polimorfos, etc.) que apresentam maior estabilidade e facilitem principalmente o processo de purificação em grande escala. Daí surge a importância de estudar a estrutura molecular das diferentes formas sólidas derivadas destes fármacos, sendo uma das principais técnicas para este estudo a difração de raios X em monocristais (DRXM). Neste trabalho um total de nove novas formas sólidas foram avaliadas e reportadas, com uma discussão detalhada das conformações moleculares e supramoleculares. Entretanto, é realizada uma análise das densidades de carga mediante métodos experimentais, uma vez que foram conduzidos experimentos de DRXM em alta resolução, em virtude da boa qualidade dos cristais que algumas das formas sólidas apresentaram. Desta maneira foi possível propor modelos de densidade de carga experimentais construídos mediante o formalismo de Hansen & Coppens, utilizando refinamento por mínimos quadrados baseados nos dados de difração em alta resolução. Por último, com o intuito de ter um estudo mais completo e detalhado da estrutura eletrônica, foram realizados cálculos teóricos de primeiros princípios em condições gasosas e periódicas de contorno. Desta forma, é apresentada uma sinergia entre os resultados obtidos pelas análises das distribuições de densidade de cargas de algumas formas sólidas, com os resultados gerais da engenharia de cristais e, portanto, concluir e extrapolar alguns aspectos importantes, principalmente no que se refere às energias associadas com as interações intermoleculares. A sinergia dos estudos de engenharia de cristais e de densidade de carga, é um tipo de pesquisa pouco publicada dentro da área da cristalografia de pequenas moléculas. / This Thesis is the result of the research proposal aimed to the crystallographic analysis of new crystalline solid forms derived from antiretroviral drugs, in the context of the crystal engineering for the design of the new solid forms, mainly since the viewpoint of the charge density analysis, which allowed an accurate comprehension of the molecular electronic structure of this kind of compounds. Antiretroviral drug compounds of nucleoside analog reverse-transcriptase inhibitors (NRTI) type, are of great importance once they are large used in the antiretroviral therapy, mainly against the HIV. In this context, some problems are known regard to the manufacture process of these drugs, mainly in the extraction and purification procedures of the lamivudine (3TC) and emtricitabine (FTC) drugs. On this issue, the crystal engineering provides an answer, through the rational planning of solid forms (salts, cocrystals, solvates, polymorphs, etc.) that exhibit an increased stability and facilitate mainly the large-scale purification process. Hence is important to study the molecular structure of the diverse solid forms derived from these drugs, mainly through the single-crystal X-ray diffraction (SCXD) experiments. In this research a total of nine new solid forms were assessed and reported, along with a detailed discussion of the molecular and supramolecular conformations. Meantime, it was carried out an analysis of the experimental charge density, once it was performed high-resolution SCXD experiments, since some of the solid forms showed good quality single crystals. In this way, it was possible to propose models of experimental charge density through the Hansen & Coppens formalism, using least-square refinement against high-resolution X-ray diffraction data. Finally, with the aim to have a more complete and detailed study of the electronic structure, it was also carried out first principles theoretical calculations in gas-phase and periodic boundary conditions. Thus, it is shown a synergy between the results obtained by the analysis of the charge density distributions of some solid forms and the crystal engineering results and, therefore, to conclude and to extrapolate some important aspects, mainly involved with the intermolecular interaction energies. The synergy of the crystal engineering and charge density studies is a kind of research little published, within the small molecule crystallography area.

<p>Ispitivan je generalisani Frenkel-Kontorova model pod&nbsp;dejstvom spolja&scaron;njih periodičnih sila,&nbsp;i njihov uticaj na &Scaron;apiro stepenike.&nbsp;Deformacija substratnog potencijala prouzrokuje&nbsp;pojavu velikih polucelih i drugih subharmonijskih&nbsp;stepenika u sistemu.&nbsp;Rezultati dobijeni u radu su od značaja&nbsp;u talasima i spinovima gustine naboja&nbsp;kao i u Džozefsonovim spojevima.</p> / <p>Properties of the Shapiro steps in dierent<br />commensurate structures of the ac + dc driven<br />Frenkel-Kontorova model with dierent generalized<br />substrate potential have been examined.<br />Deviation from the sinusoidal potential produces<br />appearance of large subharmonic steps.<br />Presented results could be of great importance<br />for thestudies of all real systems closely related<br />to the dissipative dynamics of the FK model<br />such as studies of the charge- or spin-density wave<br />systems and the systems of Josephson-junction arrays.</p>

Confinement effect on semiconductor nanowires properties. Alexis Nduwimana 100 pages Directed by Dr. Mei-Yin Chou We study the effect of confinement on various properties of semiconductor nanowires. First, we study the size and direction dependence of the band gap of germanium nanowires. We use the density functional theory in the local density approximation. Results shows that the band gap decreases with the diameter The susceptibility of these nanowires is also computed. Second, we look at the confinement effect on the piezoelectric coefficients of ZnO and AlN nanowires. The Berry phase method is used. It is found that depending on passivation, thepiezoelectric effect can decrease or increase. Finally, we study the size and direction dependence of the melting temperature of silicon nanowires. We use the molecular dynamics with the Stillinger Weber potential. Results indicate that the melting temperature increases with the nanowire diameter and that it is direction dependent.