In this thesis, we investigate strongly correlated phenomena in quantum spin systems. In the first part of this work, we study geometrically frustrated antiferromagnets (AFMs). Generalizing the SU(2) Heisenberg Hamiltonian to Sp(N) symmetry, we obtain, in the large-N limit, the mean-field phase diagrams for the planar pyrochlore and cubic AFMs. We then use gauge theories to consider fluctuation effects about their respective mean-field configurations. We find, in addition to conventional Neel states, a plethora of novel magnetically disordered phases: two kinds of spin liquids, Z2 in 2+1D and U(1)in 3+1D, and several valence bond solids such as two and three-dimensional plaquette and columnar singlet states. We use the same approach to study the diamond lattice AFM which possesses extended classical ground state degeneracy. We demonstrate that quantum and entropic fluctuations lift this degeneracy in different ways. In the second part of the thesis, we study ultracold spinor atoms confined in optical lattices. We first demonstrate the feasibility of experimental realization of rotor models using ultracold spin-one Bose atoms in a spin-dependent and disordered optical lattice. We show that the ground state of such disordered rotor models with quadrupolar interactions can exhibit biaxial nematic ordering in the disorder-averaged sense, and suggest an imaging experiment to detect the biaxial nematicity in such systems. Finally, using variational wavefunction methods, we study the Mott phases and superfluid-insulator transition of spin-three bosons in an optical lattice with an anisotropic two dimensional optical trap. We chart out the phase diagrams for Mott states with n = 1 and n = 2 atoms per lattice site. We show that the long-range dipolar interaction stabilizes a state characterized by antiferromagnetic chains made of ferromagnetically aligned spins. We also obtain the mean-field phase boundary for the superfluid-insulator transition, and show that inside the superfluid phase and near the superfluid-insulator phase boundary, the system undergoes a first order antiferromagnetic-ferromagnetic spin ordering transition.

Ce travail a pour but l'étude de la transition de Mott dans le silicium dopé au phosphore (ou à l'arsenic) au moyen de la double résonance électron-noyau et de la résonance nucléaire du Si29.

Le microscope à effet tunnel (STM) permet une analyse spatiale et spectroscopique de surfaces à l'échelle atomique. Mise en évidence peu après l'invention du STM, la lumière émise par la jonction tunnel contient des informations pertinentes sur les propriétés électroniques et optiques de surfaces ou de nano-objets.<br /><br />La thématique dans laquelle s'inscrit cette thèse est la luminescence induite par STM sur substrat semiconducteur à large bande interdite. Les travaux ont porté sur la reconstruction de surface SiC(0001)3x3 du carbure de silicium (SiC) et s'articulent autour de trois parties.<br /><br />La première partie est consacrée à l'étude de la luminescence de la jonction tunnel métal/vide/SiC(0001)3x3. Cette étude, en parallèle à des mesures de spectroscopie tunnel, a mis en évidence les mécanismes et propriétés de transport électronique le long des états de surface du SiC.<br /><br />Une deuxième partie est dédiée à l'adsorption de molécules organiques sur la surface SiC(0001)3x3. La fonctionnalisation organique du SiC est une étape indispensable pour l'étude de molécules individuelles mais aussi pour la conception de matériaux hybrides organique/inorganique. La résolution submoléculaire du STM associée à des calculs ab initio en collaboration ont dégagé un modèle de chimisorption détaillé de la phthalocyanine hydrogénée.<br /><br />La dernière partie décrit des simulations numériques, basées sur le formalisme des tenseurs de Green, de la lumière émise par la jonction tunnel. Ces travaux ont permis de modéliser d'une part l'influence de la forme de la pointe du STM sur le spectre de la lumière émise, d'autre part l'inhibition de la fluorescence de molécules individuelles excitées par STM.

Mn5Ge3 suscite de l'intérêt pour des applications dans le domaine de l'électronique de spin car il a une température de Curie élevée (≈300 K) et il peut croître épitaxialement sur des substrats Ge(111) permettant ainsi d'injecter directement dans le semi-conducteur Ge un courant polarisé en spin.Nous avons étudié par photoémission résolue en angle et en spin (ARPES, SARPES), utilisant le rayonnement synchrotron, des films minces de Mn5Ge3(001), obtenus par croissance sur la surface reconstruites Ge(111)-c(2x8).Les résultats ARPES, obtenus dans les plans GALM et GAHK, sont en accord avec des simulations faites sur la base de calculs de structure de bandes faisant appel à la théorie de la fonctionnelle de la densité.Les mesures SARPES faites en plusieurs points du plan GALM sont aussi bien reproduites par ces simulations.D'une façon globale, nos résultats apportent une validation remarquable de la description des propriétés électroniques de Mn5Ge3 par le modèle de bandes. Seule l'intensité spectrale au niveau de Fermi n'est pas bien expliquée par la simulation. Cette différence est attribuée à la nature tridimensionnelle de l'échantillon et à des effets de corrélation.

Les sujets abordés ici sont relativement variés: systèmes de fermions corrélés, structures mésoscopiques et magnétisme quantique. Un cadre global d'étude est cependant fournit par la théorie de champ moyen dynamique (DMFT), dont nous avons tout d'abord vérifié les prédictions en relation avec des expériences récentes: transport de charge dans kappa-BEDT et photoémission sur TaSe2. Pour pallier à la grande complexité des approches théoriques usuelles, nous avons développé une technique de rotateur esclave qui a été appliquée avec succés à diverses questions liées à la transition de Mott (effets orbitaux, fluctuations magnétiques, écrantage), ainsi qu'à l'étude de nanostructures, permettant d'unifier les phénomènes antagonistes de blocage de Coulomb et de transport cohérent dû à l'effet Kondo. Finalement, on propose une extension de l'approche DMFT au problème du point critique quantique dans les fermions lourds et à la question du comportement liquide de spin sur le réseau Kagomé.

This study analyzed representative works of John Mott and Bill Bright using Ernest Bormann's method of fantasy theme analysis. The analysis confirmed that Mott and Bright, as leaders of two organizations that encourage college students to engage in evangelism, share an identical rhetorical vision. This vision can be labeled the Great Commission and is identical in thought and content to the words of Christ found in Matthew 28. The shared rhetorical vision encourages members of the rhetorical community to acknowledge the needs of the world and seek to meet those needs by sharing the gospel message of Christ.In addition to a shared rhetorical visions, the works considered in this study also share identical fantasy types: "Fetching Good Out of Evil," and the quest. The fantasy type of the quest has received little interest in other studies. This study suggests that the type might provide rhetorical critics with a useful form for future studies. Several fantasy themes also were found to exist within each artifact. The presence of shared fantasy types and the commonalties that exist between the fantasy themes verifies the presence of the shared rhetorical vision, the Great Commission. / Department of Speech Communication

We discuss the appearance of quantum orders in the Hubbard model for interacting electrons, at half-filling. Such phases do not have local order parameters and need to be characterized by the quantum mechanical properties of their ground state. On one hand, we study the Mott transition from a metal to a spin liquid insulator in two dimensions, of potential relevance to some layered organic compounds. The correlation-driven transition occurs at fixed filling and involves fractionalization of the electron: upon entering the insulator, a Fermi surface of neutral spinons coupled to an internal gauge field emerges. We focus on the transport properties near the quantum critical point and find that the emergent gauge fluctuations play a key role in determining the universal scaling. Second, motivated by a class of three-dimensional transition metal oxides, the pyrochlore iridates, we study the interplay of non-trivial band topology and correlations. Building on the strong spin orbit coupling in these compounds, we construct a general microscopic Hubbard model and determine its mean-field phase diagram, which contains topological insulators, Weyl semimetals, axion insulators and various antiferromagnets. We also discuss the effects many-body correlations on theses phases. We close by examining a fractionalized topological insulator that combines the two main themes of the thesis: fractionalization and non-trivial band topology. Specifically, we study how the two-dimensional protected surface states of a topological Mott insulator interact with a three-dimensional emergent gauge field. Various correlation effects on observables are identified.

We discuss the appearance of quantum orders in the Hubbard model for interacting electrons, at half-filling. Such phases do not have local order parameters and need to be characterized by the quantum mechanical properties of their ground state. On one hand, we study the Mott transition from a metal to a spin liquid insulator in two dimensions, of potential relevance to some layered organic compounds. The correlation-driven transition occurs at fixed filling and involves fractionalization of the electron: upon entering the insulator, a Fermi surface of neutral spinons coupled to an internal gauge field emerges. We focus on the transport properties near the quantum critical point and find that the emergent gauge fluctuations play a key role in determining the universal scaling. Second, motivated by a class of three-dimensional transition metal oxides, the pyrochlore iridates, we study the interplay of non-trivial band topology and correlations. Building on the strong spin orbit coupling in these compounds, we construct a general microscopic Hubbard model and determine its mean-field phase diagram, which contains topological insulators, Weyl semimetals, axion insulators and various antiferromagnets. We also discuss the effects many-body correlations on theses phases. We close by examining a fractionalized topological insulator that combines the two main themes of the thesis: fractionalization and non-trivial band topology. Specifically, we study how the two-dimensional protected surface states of a topological Mott insulator interact with a three-dimensional emergent gauge field. Various correlation effects on observables are identified.

Submitted by Simone Souza (simonecgsouza@hotmail.com) on 2018-04-20T14:10:44Z No. of bitstreams: 1 DISS_2014_Raffael Chaves Juliano.pdf: 3302347 bytes, checksum: 174e8e990733d7d4d8b7abe09ac51a92 (MD5) / Approved for entry into archive by Jordan (jordanbiblio@gmail.com) on 2018-05-14T16:24:18Z (GMT) No. of bitstreams: 1 DISS_2014_Raffael Chaves Juliano.pdf: 3302347 bytes, checksum: 174e8e990733d7d4d8b7abe09ac51a92 (MD5) / Made available in DSpace on 2018-05-14T16:24:18Z (GMT). No. of bitstreams: 1 DISS_2014_Raffael Chaves Juliano.pdf: 3302347 bytes, checksum: 174e8e990733d7d4d8b7abe09ac51a92 (MD5) Previous issue date: 2014-11-28 / CAPES / Compostos de metais de transição, como o dióxido de vanadio (VO2), podem apresentar,em determinadas condições, a transição metal-isolante. No VO2, essa transição é acompanhada por uma transformação na sua estrutura cristalina, através da dimerização de átomos de vanadio presentes em sítios distintos. é dessa ligação entre dois sítios que emerge a ideia do dímero de Mott. Neste trabalho, utilizando o método da diagonalização exata, estudamos o modelo de Hubbard em sua versão estendida aplicado ao dimero de Mott, encontrando os seus autovalores e autovetores de energia. Variando os parâmetros do modelo, obtemos os resultados numéricos para os autovalores de energia do sistema. Realizamos ainda uma análise da ocupação eletrônica total e da compressibilidade de carga (densidade de estados) como função do potencial químico. No sentido de compreender melhor o sistema, estudamos o comportamento da dupla ocupação, da energia interna e do calor especifico como função da temperatura, da interação Colombiana local e não local. Além disso, diversas quantidades físicas (dupla ocupação, energia interna,calor especifico, entropia, magnetização e susceptibilidade magnética) do dímero de Mott foram calculadas analiticamente utilizando o método do ensemble canônico. / Compounds based on transition metals such as vanadium dioxide (VO2), present under certain conditions metal-insulator transitions. Regarding to VO2, this transition is accompanied by a change in its cristalline structure through dimerization of two vanadium atoms on di erent sites. Here, it is this bound state between two vanadium atoms that emerges the idea of a Mott's dimer. In this work, using exact diagonalization, we study the Hubbard model in its extended version exploring the physics of Mott's dimer. We obtain explicitly all eigenvalues and eigenvectors of this model. Varying the model parameters, we explore the energy dependence of all eigenvalues of the system. We also performed an analysis of the total electron occupation and the charge compressibility (density of states) as a function of chemical potential. In order to better understand the physical properties of a two-site Hubbard model, we study the behavior of the double occupancy, the total energy and the speci c heat as a function of temperature and the Coulomb interaction parameters. Moreover, various physical quantities (double occupancy, internal energy, speci c heat, entropy, magnetization and magnetic susceptibility) of dimer's Mott were calculated analytically using the method of the canonical ensemble.

Student Number: 0004062T Doctor of Philosophy Faculty of Humanities and Social Sciences / This thesis discusses the impact that the Ford, Mott, Kellogg and Open Society Foundations had on civil society organisations in South Africa in setting development priorities. The thesis tested first, the hypothesis that donors set the agenda for their grantees. Secondly, the thesis tested the assumption that aid facilitates grantees’ submission to donor interests. And in the process grantees lose their identity and focus. The research found that most of civil society organisations (CSOs) depended on international donors, in particular, foundations,for their operations. There was little mobilisation of resources from local citizens. As a result, CSOs were vulnerable to donor conditionalities and agendas. The four case studies and their selected beneficiaries show that most CSOs were not sustainable. If donors withdrew their support, a number of their grantees would curtail their work, close down or lose their vision and mission. In some cases CSOs changed their missions to follow the money, nevertheless, changing contexts and demands were also relevant factors. Although lack of sustainability for CSOs and their greater dependency on international donors made their agendas questionable, it also provided independence from internal political interference. CSOs also appeared more accountable to donors than to the constituencies they served. The Kellogg Foundation insisted that organisations had to toe the line to implement the Foundation’s agenda or risk losing funding. George Soros of the Open Society Foundation also called the shots. He set the agenda and his Foundations implemented it. This showed the power of direct intervention by a living donor who operated as a Programme Officer for all his foundations. The question of donor-dependency is closely linked to that of leadership. A number of organisations with good leaders attracted many donors. However the increase in donors, did not sustain these organisations, instead it made them vulnerable to many different donor demands. Thus, donor diversification was both an asset and a threat. However, good leadership prevented CSOs from collapse from lack of transparency, accountability and effectiveness. A temptation to ‘want to look like donors’, a process that is called ‘isomorphism’ by DiMaggio and Powell (1991) characterised many CSOs resulting in them losing their identity, mission and vision. There were positive aspects that international Foundations achieved in supporting civil society foundations. The Open Society Foundation worked to open up closed societies. It supported efforts that aimed at fostering democratic ideals, rule of law, social justice and open societies. The Ford Foundation supported efforts that strengthened civil society, promoted social justice and democracy. The Mott Foundation strengthened the capacity of the non-profit sector by developing in-country philanthropy. And the Kellogg Foundation supported community initiatives that aimed to tackle the causes of poverty. A negative development; however was that Foundations cultivated the culture of receiving rather than giving among their grantees. For this reason, the thesis suggested the development of ‘community philanthropy’ to sustain the non-profit (NPO) sector. Community philanthropy has the advantage of mobilising resources from domestic sources and taping into levels of social capital. Building on domestic sources would encourage a bottom up approach to development. I argue that local self-help initiatives such as stokvels, burial societies and saving clubs could serve as bases for the sustainability of the non-profit sector which suffered from donor dependency, unsustainability and poor leadership. Such an approach would make development ‘people-centered’ and encourage social responsibility among citizens to support their NPOs and its development initiatives.