Dans cette thèse, nous construisons un modèle de liaisons fortes tridimensionnel minimal pour les cuprates supraconducteurs monocouches à base de lanthane. Celui-ci prend en compte huit orbitales, dont deux d'entre elles impliquent les ions oxygène apicaux. L'optimisation des paramètres microscopiques permet de reproduire presque parfaitement la bande de conduction tridimensionnelle telle qu'elle a été obtenue à partir des calculs DFT. Nous discutons la façon dont chacun des paramètres entrant en jeu dans ce modèle multi-bandes influence la bande de conduction, et nous montrons que la forme particulière de sa dispersion contraint les valeurs des paramètres. Nous mettons alors en évidence que la détermination standard d'un modèle effectif à une bande au travers d'un traitement perturbatif converge lentement en raison de la valeur relativement faible du gap de transfert de charges. A ce stade, cela nous permet, en revanche, de lever le voile sur l'origine microscopique des amplitudes de saut des électrons au sein des plans et en-dehors des plans. Une approche alternative au calcul des paramètres microscopiques de saut du modèle effectif de liaisons fortes est présentée et mise à contribution. Il en résulte que l'accord avec la DFT est préservé à condition que les amplitudes de saut de plus longue portée soient conservées. Une comparaison avec les modèles existants est également effectuée. La surface de Fermi, mettant en exergue des domaines décalés qui alternent en taille et en forme, est comparée à l'expérience. De plus, la densité d'états du modèle est aussi calculée. Une analyse plus approfondie du modèle est réalisée au travers d'une étude en couplage faible des instabilités magnétiques. Les calculs sont effectués sur de grandes cellules et nous avons trouvé une compétition parmi plusieurs instabilités magnétiques tridimensionnelles dans la région d’intérêt du dopage en trous accessible expérimentalement. Bien qu'à notre connaissance cela ne semble pas avoir été évoqué expérimentalement, nous montrons à l'issue de notre étude, que la tendance du modèle à former des ondes de densité de spin incommensurables tridimensionnelles est la plus forte à proximité du dopage 1/8. / In this thesis, we construct a minimal three-dimensional tight-binding model for single-layer La-based cuprate superconductors. It entails eight orbitals, two of them involving apical oxygen ions. Parameter optimization allows to almost perfectly reproduce the three-dimensional conduction band as obtained from DFT. We discuss how each parameter entering this multiband model influences it, and show that the peculiar form of its dispersion severely constraints the parameter values. We then evidence that standard perturbative derivation of an effective one-band model is poorly converging because of the comparatively small value of the charge transfer gap. Yet, this allows us to unravel the microscopical origin of the in-plane and out-of-plane hopping amplitudes. An alternative approach to the computation of the tight-binding parameters of the effective model is presented and worked out. It results that the agreement with DFT is preserved provided longer-ranged hopping amplitudes are retained. A comparison with existing models is performed, too. The Fermi surface, showing staggered pieces alternating in size and shape, is compared to experiment. The density of states is calculated as well. The model is further analyzed through a weak coupling study of magnetic instabilities. It is performed on large clusters and competition between several three-dimensional magnetic instabilities in the hole-doping region of experimental interest is found. We show that the tendency to form a three-dimensional incommensurate spin density wave is strongest in the vicinity of 1/8 doping.

No description available.

In dieser Doktorarbeit wird der Hochtemperatur-Supraleiter Bi-2212 auf seine elektronische Struktur hin untersucht. Für diesen Zweck wurden Röntgen- Absorptionsspektroskopie (XAS) und winkelaufgelöste Photoemissionsspektroskopie (ARPES) verwendet. Zusätzlich wurden mittels Dichtefunktionaltheorie theoretische Trends in der elektronischen Struktur aufgezeigt. Zu Beginn wurde die Temperaturabhängigkeit der Löcher-Konzentration (nH) von nahezu optimal dotierten und geringfügig unterdotierten Einkristallen mittels XAS untersucht. Die Messungen der Temperaturabhängigkeit von nH mit XAS zeigen ein komplett anderes Verhalten als das, welches aus dem Hall-Effekt hergeleitet wurde. Hinzu kommt, dass es unmöglich ist, die Formel von Gor''kov und Teitel''baum, d.h. mit einem konstanten und einem Aktivierungsterm, an die Daten anzupassen. Als Lösungsansatz kommen Magnonen in Frage. Zusätzlich wurde die Polarisationsabhängigkeit der Löcher- Konzentration mittels XAS gemessen, die zeigt, dass in den Kupferoxidschichten die Löcher offenbar offenbar inhomogen verteilt sind. Solch ein Verhalten wird für die isotrope Struktur der Bi-2212-Kristalle nicht erwartet und kann nur schwer erklärt werden. Möglicherweise sind die, die Symmetrie brechenden magnetischen Eigenschaften wie magnetische Streifen die Antwort. Um zusätzliche experimentelle Informationen zu erhalten, wurde darüber hinaus noch die Temperatur- und Polarisationsabhängigkeit der Bi-2212-Einkristalle mittels ARPES studiert. Insbesondere die ''Peak-Dip-Hump''-Emissionsstruktur an der Fermi-Energie wurde gemesssen, die sich am M-Punkt der Brillouin-Zone befindet. Die Ergebnisse zeigen, dass der scharfe Peak nahe der Fermi-Kante eine deutliche Polarisations- und Temperaturabhängigkeit aufweist, welche bei der Pseudolücken-Temperatur T* und nicht bei der Sprungtemperatur TC verschwindet. Die Polarisationsabhängigkeit an den vier M-Punkten der Brillouin-Zone hat gezeigt, dass eine Symmetrieachse im 45°-Winkel zur Cu-O-Cu-Richtung existiert. Dies könnte ebenfalls mit magnetischer Streifenbildung erklärt werden. Des Weiteren wurde das beobachtete Versagen der Dipol-Näherung zur Beschreibung der Spektren bei einer Polarisation senkrecht zur Spiegelebene erörtert. Andererseits ist die Berechnung von Materieleigenschaften mittels der Dichtefunktionaltheorie ein sehr aktiver Bereich der Festkörperphysik geworden. Nachdem meine DFT-Rechnungen auf der Basis des MBJ-Potentials sehr gute Übereinstimmung mit den experimentellen Ergebnissen des ternären Halbleiters ZrSexS2-x und die LiZrSexS2-x –Verbindung erzielt haben, habe ich diese auch zur Unterstützung der experimentellen Supraleiterdaten angewendet. Die elektronischen Eigenschaften von CaCuO2 und des Bi-2212-Kuprats wurden mittels DFT auf der Basis von GGA und GGA+U berechnet, wobei der Hubbard-U-Term mit einer „abinitio“-Methode berechnet wurde. Die Ergebnisse ergaben, dass nur Rechnungen auf der Basis von MBJ+U einen antiferromagnetischen Grundzustand für die CaCuO2- Verbindung lieferten, während alle Funktionale versagten, den antiferromagnetischen Grundzustand für das Bi-2212-Kuprat zu finden. / In this PhD work the electronic structure of high-TC Bi-2212 cuprates is investigated. For this purpose x-ray absorption spectroscopy (XAS) and angle resolved photoemission spectroscopy (ARPES) are used. Additionally, density functional theory is applied for making theoretical trends of the electronic structure evident. At first, the temperature dependence of the hole density (nH) by XAS on nearly optimum and slightly underdoped single crystals is studied. The measurements of the temperature dependence of nH by XAS show completely different behavior as that derived from Hall effect. Moreover, fitting our data by the Gor’kov and Teitel’baum formula, i.e. assuming a constant term and an activation term, was impossible. For solving the problem a contribution of magnons is suggested. Additionally, the polarization dependence of the hole density has been measured by XAS showing that an inhomogeneity of holes in the copper oxide planes may exist. Such a behavior is not expected for the isotropic structure of the Bi(Pb)-2212 crystals and was only hardly to be explained. Possibly, magnetic symmetry breaking properties like e.g. magnetic stripes might give an answer. In order to derive additional experimental information, the temperature and polarization dependence of the electronic structure of the CuO2 planes of Bi(Pb)-2212 single crystals has been studied by ARPES. In particular, the so-called peak-dip-hump emission structure close to the Fermi energy has been measured, which is located at the M point of the Brillouin zone. The results show that the sharp emission structure close to the Fermi edge reveals a distinct polarization dependence and it vanishes at the pseudogap temperature T* and not at the critical temperature TC. The polarization dependence at the four M points of the Brillouin zone has revealed that there exists a symmetry line along to 45?? from the Cu-O-Cu direction. This could also be due to stripe formation. Additionally, the observed failure of the dipole approximation to describe the spectra at normal polarization with respect to the mirror plane is discussed. On the other hand, the calculation of material properties by density functional theory has become a very active area of research in condensed matter physics. Therefore, after my calculations based on DFT by the MBJ potential have revealed good agreement with experimental data for the ternary semiconductors ZrSexS2-x and the LiZrSexS2-x compound I applied it for a support of the experimental superconductor data. The electronic properties of CaCuO2 and the Bi-2212 cuprate have been calculated by DFT based on GGA and GGA+U where the Hubbard U term has been calculated by an ab initio method. The results reveal that only calculations based on MBJ+U lead to an anti-ferromagnetic ground state for the CaCuO2 compound while all functionals fail to find an antiferromagnetic ground state for Bi-2212.

No description available.

Through our whole work we study the XY model with all its entirety, a particular spin model where spins are confined in a plane. We try to bring out a good understanding of this model with all different types of phases and phase transition, it undergoes in critical situations. We conceive of these external conditions from very different physical models like High Tc Superconductor, Ultracold atoms in optical lattice which are in focus of recent research. Firstly we model high Tc Superconductors with very simple 2D XY model to get an idea about the diamagnetic response exhibited by these materials when kept in a external magnetic field. This modeling is reasonable because most of the physics of cuprate High Tc Superconductors are governed by their 2D copper oxide planes which insists us to consider 2D models. Later we shifted to a more realistic 3D anisotropic XY model , as the coupling between cuprates plane may have a considerable role in devising physics of those materials. We particularly focus on the 2D to 3D crossover effect on magnetisation showed by these models, with keeping an eye on how all these can be relate to the experimentally acquired magnetisation profile of High Tc Supercondutors. On the second project we investigate on the phase diagram of a fully frustrated 2-leg ladder Bose Hubbard model. After mapping it properly to a classical model, a bi-layer Fully Frustrated XY model on square lattice, we found that the frustration leads to the emergence of a new phase "Chiral Mott insulator(CMI)" sandwiched between "Chiral Superfluid(CSF)" and "regular Mott insulator(MI)" phase. We divide the whole report into four parts. The first chapter is basically contain-ing introductory part comprising the motivation. In the second chapter we discuss various types of phases and phase transitions of the 2D & 3D XY models. We try to address their critical behaviors. In the third chapter and onwards we consider our model in external magnetic field and observe magnetisation in these systems. Here we specially focus on 2D to 3D crossover effect on magtisation measurement. Lastly in the fourth chapter we bring out a correspondence of XY model with the 2 leg ladder fully frustrated Bose Hubbard Model. There we report the emergence of a new phase, Chiral Mott Insulator(CMI) due to frustration in system.

Both cuprates and manganites belong to the transition metal oxides. The physics of these compounds is characterized by a dualism of local electron interaction and itinerant charge motion. In the present work, several key issues of metallic cuprates and manganites are addressed on a theoretical level, while close connection to recent experimental work is kept. The work is based on the notion of spin and orbital liquids, representing elegant tools to handle the strongly correlated nature of the metallic state in an efficient and transparent manner. A concise introduction to the physics of cuprates and manganites as well as to the methods employed is presented at the beginning of the work. In a subsequent part, we show that the peculiar magnetic response of metallic cuprates upon impurity doping can be successfully explained within a spin-liquid picture. The remainder of the work is devoted to the metallic state of manganites. Elaborating on the notion of an orbital liquid, the interplay of electron correlations, orbital degeneracy, and double exchange is studied. Thereby, the unconventionally large incoherent optical spectrum of metallic manganites and the pronounced softening of the magnon spectrum observed in experiment can be explained. Finally, a theory of the metal-insulator transition of manganites is presented which is based upon the newly introduced notion of orbital polarons. In general, we believe the close agreement of our results with experiment to strongly support the validity of our approach, giving new insight into the spectacular and sometimes as-tonishing physics of transition metal oxides.

Both cuprates and manganites belong to the transition metal oxides. The physics of these compounds is characterized by a dualism of local electron interaction and itinerant charge motion. In the present work, several key issues of metallic cuprates and manganites are addressed on a theoretical level, while close connection to recent experimental work is kept. The work is based on the notion of spin and orbital liquids, representing elegant tools to handle the strongly correlated nature of the metallic state in an efficient and transparent manner. A concise introduction to the physics of cuprates and manganites as well as to the methods employed is presented at the beginning of the work. In a subsequent part, we show that the peculiar magnetic response of metallic cuprates upon impurity doping can be successfully explained within a spin-liquid picture. The remainder of the work is devoted to the metallic state of manganites. Elaborating on the notion of an orbital liquid, the interplay of electron correlations, orbital degeneracy, and double exchange is studied. Thereby, the unconventionally large incoherent optical spectrum of metallic manganites and the pronounced softening of the magnon spectrum observed in experiment can be explained. Finally, a theory of the metal-insulator transition of manganites is presented which is based upon the newly introduced notion of orbital polarons. In general, we believe the close agreement of our results with experiment to strongly support the validity of our approach, giving new insight into the spectacular and sometimes as-tonishing physics of transition metal oxides.