Atom probe tomography as a 3D atomic-scale characterization tool has seen considerable development in the past decade, both in systems improvement and theoretical understanding. However, the time and expertise required from the outset of experimentation to analyzed results is highly asymmetric between metals and nonmetals. For complex oxides, this difficulty can be exemplified by GdBa2Cu3O7-x based high-temperature superconducting coated conductors. The objective of this dissertation is to further establish the experimental and theoretical knowledge required to effectively, and compositionally, study nanoscale defects in nonmetals using atom probe tomography; specifically, those influencing the electromagnetic properties of RBa2Cu3O7-x high temperature superconducting coated conductors. The results from this dissertation can be applied to other complex oxides, nitrides, carbides, or other nonmetallic systems, through the creation and use of an extensive open-source Python package, APAV.

This thesis describes a portfolio of work aimed at the high field applications of superconductors and can be split into four main topics: The thermal stability of technical superconductors. This section investigates the effects of thermal perturbations on technical superconducting wire used in MRI scanner construction. The ultimate aim of this section is to predict how the architecture of the wire may affect its thermal stability. To this end a detailed finite element analysis model was constructed, verified by detailed experimental data, which could then be used to quickly and easily vary the wire’s parameters. Design of a high field pulsed electromagnetic coil for flux trapping in superconductors. This section details the design, construction and testing of a novel pulsed high field magnet. The design uses finite element analysis to predict the electromagnetic, thermal and structural properties of the coil. Explosive testing of high tensile fibres used in the construction of the high field coil. This section describes the refinement and use of a novel method for testing the mechanical properties of high tensile fibres in cylindrical geometries by using highly pressurized copper vessels. Pulsed field magnetization of bulk high temperature superconductors. This section discusses the process of magnetizing bulks of high temperature superconductors by using pulsed magnetic fields. It investigates how the trapped field varies with the magnitude and rise-time of the magnetizing field, sample temperature and time after magnetization.

Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico / In recent years, several experiments have been reported in which interface superconductivity was observed in heterostructures of different materials, inclunding non-superconductors. The origin of this superconductivity has not yet been elucidated and there is no well-established theory to explain this phenomenon. In 2015 a model based on the Ginzburg-Landau theory was proposed that would explain the interface superconductivity phenomenon assuming a system with two order parameters. It has been proposed that the order parameter characterizing the bulk material with a defective or doped layer permits the formation of a second parameter which competes with the former and prevails over it in the vicinity of the interface. The superconductivity at the interface is then explained by the growth of this second order parameter only in this region, remaining still ``hidden" inside the bulk. The model was applied to a one-dimensional system with an interface, which presented a surprising result: the ``hidden" superconductivity appers in quantized critical temperatures, this allowing the existence of several eigenstates of the system, with different critical temperatures. In this dissertation, we use this model and investigate the unfolding of hidden superconductivity and its quantized temperatures. We observe that the interfaces resemble one-dimensional quantum wells, with the critical temperature playing the role of the energy in the quantum case. Following this idea we use numerical methods to solve the Ginzburg-Landau equations for a system with an arbitrary number of parallel interfaces. Our results show that in this case, the critical temperatures are quantized and degenerate when the interfaces are very separated, but it has its degeneracy broken when we approach the interfaces, as it happens in a lattice of square wells. We then proposed a tight-binding model to estimate critical temperatures on parallel interfaces and verified the validity of this approximation through the numerical solution of the complete problem. We also analyze the vortex states for a square two-dimensional defect, verifying the possibility of creating or destroying vortices in the region of `` hidden" superconductivity through an external magnetic field. / Nos Ãltimos anos foram reportados diversos experimentos em que a supercondutividade de interface foi observada em heteroestruturas de diferentes materiais, inclusive em nÃo-supercondutores extit{a priori}. A origem dessa supercondutividade ainda nÃo foi elucidada e nÃo existe uma teoria bem estabelecida para explicar esse fenÃmeno. Em 2015 foi proposto um modelo com base na teoria de Ginzburg-Landau que explicaria o fenÃmeno de supercondutividade de interface assumindo um sistema com dois parÃmetros de ordem. Foi proposto que o parÃmetro de ordem que caracteriza o material extit{bulk} com uma camada defeituosa, ou dopada, permite a formaÃÃo de um segundo parÃmetro que compete com o primeiro e prevalece sobre ele nas proximidades da interface. A supercondutividade na interface à entÃo explicada pelo crescimento deste segundo parÃmetro de ordem apenas nesta regiÃo, permancecendo ainda ``escondido" dentro do extit{bulk}. O modelo foi aplicado para um sistema unidimensional com uma interface, apresentando um resultado surpreendente: a supercondutividade escondida aparece em temperaturas crÃticas quantizadas, podendo entÃo existir vÃrios autoestados do sistema, com diferentes temperaturas crÃticas. Nessa dissertaÃÃo utilizamos esse modelo e investigamos os desdobramentos da supercondutividade escondida e suas temperaturas quantizadas. Percebemos que as interfaces assemelham-se com poÃos quÃnticos unidimensionais, com a temperatura crÃtica fazendo o anÃlogo ao da energia no caso quÃntico. Seguindo essa ideia utilizamos mÃtodos numÃricos para resolver as equaÃÃes de Ginzburg-Landau para um sistema com um nÃmero arbitrÃrio de interface paralelas. Nossos resultados mostram que neste caso, as temperaturas crÃticas, alÃm de quantizadas, sÃo degeneradas quando as interfaces estÃo muito separadas, mas tem essa degenerescÃncia quebrada quando aproximamos as interfaces, como ocorre em uma rede de poÃos quadrados. Propusemos entÃo um modelo tipo extit{tight-binding} para estimar temperaturas crÃticas em interfaces paralelas e verificamos a validade dessa aproximaÃÃo atravÃs da soluÃÃo numÃrica do problema completo. Analisamos tambÃm os estados de vÃrtices para um defeito bidimensional quadrado, verificando a possibilidade de se criar ou destruir vÃrtices na regiÃo de supercondutividade escondida atravÃs de um campo magnÃtico externo.

An exploratory case study research design was followed to explore and categorize 23 pre-service physics teachers’ understanding in the fields of superconductivity and nanotechnology at the Sultan Qaboos University in Oman. To elicit their responses, a five-stage categorical framework analysis was used. The five stages included identification of the thematic framework, familiarization, coding, placing the categories on a chart and finally, interpretation. A conceptual survey test (Conceptual Survey of Superconductivity and Nanotechnology) was administered to the pre-service physics teachers to form four independently homogenous ability focus groups. This was followed by focus group discussions whose data were analyzed to group their conceptions in both the epistemological as well as ontological categories. From the focus group discussions, six categories were considered from previous studies, namely; lateral alternative conceptions, ontological conceptions, naïve physics, Ohm’s p-primes, mixed conceptions and loose ideas. Since this was a pre-instructional study, naïve physics ideas and lateral alternative conceptions were dominant. Naïve physics refers to the untrained student or human perception of various physical phenomena while lateral alternative conception refers the misconceptions individuals have on ideas that may be inconsistent with scientifically acceptable facts. Findings indicate that the pre-service teachers’ conceptions deviated from canonical scientific concepts, are diversified and inconsistent. The knowledge on pre-instructional conceptions will influence the development of evidence-based pedagogy, which is fundamental to the development of an effective physics education curriculum. / Institute for Science and Technology Education (ISTE) / M. Sc. (Physics Education)

The recent advancement of superconducting nano devices has allowed for making a Superconducting Nanowire Single Photon Detector (SNSPD), whose extraordinary features have strongly motivated the research community to exploit it in many practical applications. In this thesis, an experimental setup for testing the SNSPD has been established. It contains an in-house packaging that meets the requirements of RF/microwave and optoelectronic characterizations. The quantum efficiency and detection efficiency measurements have confirmed that our approach is satisfactory. The dark count performance has reached the anticipated level. The factors affecting rise and fall times of the photoresponses are addressed. Based on the successful setup, the characterizations including dc, small signal ac measurements have been undertaken. The measurements are aimed at quantitatively investigating Cooper pair density in the superconducting nanowire. The experimental method involves a two-step, small signal S-parameter measurement either in the presence or absence of optical powers. The subsequent measurements by varying the temperature and dc bias current have achieved remarkable understanding on the physical properties of SNSPD nanowires. Then, the electrically induced nonlinearity is studied via the large signal RF and Microwave measurements. The experiments are a set of one-tone and two-tone measurements, in which either the RF driving power is varied at a fixed frequency, or vice versa. Two major nonlinear microwave circuit analysis methods, i.e. time-domain transient and hybrid-domain harmonic balance analysis, are employed. The simulation result reveals the optimized conditions of reaching the desired nonlinearity. Finally, we have successfully measured the optoelectronic mixing products in an electrically pumped optoelectronic mixer, which has identical structures as that of the SNSPD. The experiments confirm that this mixer is not only sensitive to the classical light intensities, but also to that of the single photon level. Meanwhile, the quantum conversion matrices is derived to interpret the quantum optoelectronic mixing effects.

The recent advancement of superconducting nano devices has allowed for making a Superconducting Nanowire Single Photon Detector (SNSPD), whose extraordinary features have strongly motivated the research community to exploit it in many practical applications. In this thesis, an experimental setup for testing the SNSPD has been established. It contains an in-house packaging that meets the requirements of RF/microwave and optoelectronic characterizations. The quantum efficiency and detection efficiency measurements have confirmed that our approach is satisfactory. The dark count performance has reached the anticipated level. The factors affecting rise and fall times of the photoresponses are addressed. Based on the successful setup, the characterizations including dc, small signal ac measurements have been undertaken. The measurements are aimed at quantitatively investigating Cooper pair density in the superconducting nanowire. The experimental method involves a two-step, small signal S-parameter measurement either in the presence or absence of optical powers. The subsequent measurements by varying the temperature and dc bias current have achieved remarkable understanding on the physical properties of SNSPD nanowires. Then, the electrically induced nonlinearity is studied via the large signal RF and Microwave measurements. The experiments are a set of one-tone and two-tone measurements, in which either the RF driving power is varied at a fixed frequency, or vice versa. Two major nonlinear microwave circuit analysis methods, i.e. time-domain transient and hybrid-domain harmonic balance analysis, are employed. The simulation result reveals the optimized conditions of reaching the desired nonlinearity. Finally, we have successfully measured the optoelectronic mixing products in an electrically pumped optoelectronic mixer, which has identical structures as that of the SNSPD. The experiments confirm that this mixer is not only sensitive to the classical light intensities, but also to that of the single photon level. Meanwhile, the quantum conversion matrices is derived to interpret the quantum optoelectronic mixing effects.

No description available.

The work described in this thesis uses oxygen NMR to probe the electronic system of rare earth co-doped La_{2-x}Sr_xCuO_4, the prototypical high temperature superconducting cuprate (HTSC). Oxygen NMR turns out to be a powerful tool for this purpose. The nucleus is located directly inside the CuO_2 planes. It has a spin of 5/2 and a quadrupole moment and therefore can probe both, interactions with the magnetic hyperfine field as well as interactions through the electric field gradient of the crystal. Furthermore, the spin lattice relaxation time T_1 and the spin spin relaxation time T_2 contain information about the dynamics of these interactions. Such a link between the spin and charge structures in high temperature superconductors has been elusive until today. Instead, there are magnetic probes such as neutron scattering and muSR that provide evidence for a modulation of the spin structure and static magnetic moments, respectively, and charge probes like STM that reveal inhomogeneous doping distributions in the CuO_2 planes. In either case, inhomogeneities in the spin and charge system seem to be typical for HTSCs. Whereas the spin and charge modulations are believed to be dynamic in the superconducting compounds, they become static at low temperatures in Eu doped La_{2-x}Sr_xCuO_4, where superconductivity is suppressed. As could be demonstrated here, evidence for such a spin and charge separation, that often revealed stunning similarities to the spin ladder compounds, is apparent in almost all measured NMR parameters. / In dieser Arbeit werden Sauerstoff NMR Untersuchungen der elektronischen Struktur von Selten-Erd dotiertem La_{2-x}Sr_xCuO_4, dem prototypischen Hochtemperatursupraleiter (HTSL), vorgestellt. Sauerstoff NMR ist zu diesem Zweck besonders gut geeignet. Der Kern befindet sich innerhalb der Kupferoxid-Ebenen. Er hat einen Spin von 5/2 und ein Quadrupolmoment. Damit lassen sich Wechselwirkungen mit dem magnetischen Hyperfeinfeld der Cu-Atome sowie Wechselwirkungen mit dem elektrischen Feldgradienten des Kristalls untersuchen. Des Weiteren geben die Spin-Gitter-Relaxationszeit T_1 sowie die Spin-Spin-Relaxationszeit T_2 Aufschluss über die Dynamik dieser beiden Wechselwirkungen. Eine Verbindung zwischen der Spin- und Ladungsordnung gibt es in den HTSL bisher nicht. Statt dessen haben magnetische Messmethoden wie Neutronenstreuung oder muSR Aussagen über die magnetische Ordnung geliefert. Unabhängig davon liefern Messmethoden wie STM nur Informationen über eine Ladungsordnung oder inhomogene Ladungsverteilungen. Inhomogenitäten der Spins und Ladungen scheinen aber typisch für die HTSL zu sein. Man vermutet, dass diese Inhomogenitäten dynamisch in den supraleitenden Verbindungen sind, während sie in Eu dotiertem La_{2-x}Sr_xCuO_4 bei tiefen Temperaturen statisch werden und die Supraleitung unterdrücken. In dieser Arbeit wird gezeigt, dass sich diese Ladungs- und Spininhomogenitäten in vielen Parametern der NMR Spektren bemerkbar machen.

In this work, the electronic phase diagrams of Ca1−xNaxFe2As2 and Fe1+yTe were investigated using muon spin relaxation and Mössbauer spectroscopy. Single crystals of Ca1−xNaxFe2As2 with x = 0.00, 0.35, 0.50, and 0.67 were examined. The undoped 122 parent compound CaFe2As2 is a semi metal and shows antiferromagnetic commensurate spin density wave order below 167 K. By hole doping via Na substitution, the magnetic order is suppressed and superconductivity emerges including a Na-substitution level region, where both phases coexist. Upon Na substitution, a tilting of the magnetic moments out of the ab-plane is found. The interaction of the magnetic and superconducting order parameter in this coexistence region was studied and a nanoscopic coexistence of both order parameters is found. This is proven by a reduction of the magnetic order parameter of 7 % in x = 0.50 below the superconducting transition temperature. This reduction was analysed using Landau theory and a systematic correlation between the reduction of the magnetic order parameter and the ratio of the transition temperatures, Tc/TN, for the 122 family of the iron pnictides is presented. The magnetic phase transition is accompanied by a tetragonal-to-orthorhombic phase transition. The lattice dynamics at temperatures above and below this magneto-structural phase transition were studied and no change in the lattice dynamics were found. However, the lattice for finite x is softer than for the undoped compound. For x = 0.67, diluted magnetic order is found. Therefore, the magnetism in Ca1−xNaxFe2As2 is persistent even at optimal doping. The superconducting state is investigated by measuring the temperature dependence of the magnetic penetration depth, where two superconducting gaps with a weighting of nearly 50:50 are obtained. A temperature independent anisotropy of the magnetic penetration depth γ_λ = 1.5(4) is obtained, which is much smaller compared to other 122 compounds indicating a more three-dimensional behaviour of Ca1−xNaxFe2As2. Powder samples of Fe1+yTe with y = 0.06, 0.12, 0.13, and 0.15 were examined. Fluctuating paramagnetic moments at room temperature were found, which are independent of the excess iron level y. Below 100 K, a magnetic precursor phase is observed, which is independent of y. Fe1.06Te shows a commensurate spin density wave phase below TN, while for y ≥ 0.13 an incommensurate spin density wave phase below TN is found. However, a slowing down of the magnetic fluctuations with decreasing temperature and static magnetic order at lowest temperature are observed. / In dieser Arbeit wurden die elektronischen Phasendiagramme von Ca1−xNaxFe2As2 and Fe1+yTe mit Hilfe der Myonspinrelaxations- und Mössbauerspektroskopie untersucht. Einkristalle von Ca1−xNaxFe2As2 mit x = 0.00, 0.35, 0.50 und 0.67 wurden untersucht. Das undorierte 122-System CaFe2As2 ist ein Halbmetal und zeigt eine antiferromagnetische Spindichtewelle unterhalb von 167 K. Substituiert man Ca durch Na, werden Löcher in das System eingebracht. Die magnetische Ordnung wird mit steigendem Na-Anteil unterdrückt und Supraleitung tritt auf. Dabei existiert ein Na-Substitutionslevelbereich, in welchem Magnetismus und Supraleitung koexistieren. Desweiteren wurde ein herausdrehen der magnetischen Momente aus der ab-Ebene als Funktion von x beobachtet. Die Wechselwirkung des magnetischen mit dem supraleitenden Ordnungsparameter in der Koexistenzregion wurde untersucht und nanoskopische Koexistenz der beiden Ordnungsparameter wurde gefunden. Dies konnte durch eine Reduktion des magnetischen Ordnungsparameteres um 7 % in x = 0.50 unterhalb der supraleitenden Ordnungstemperatur gezeigt werden. Diese Reduktion wurde mit Hilfe der Landautheorie untersucht und es wurden systematische Korrelationen zwischen der Reduktion des magnetischen Ordnungsparamteres und dem Verhältnis der Übergangstemperaturen, Tc/TN, in der 122-Familie der Eisenpniktide gefunden. Der magnetische Phasenübergang wird von einem strukturellen Phasenübergang begleitet. Die Gitterdynamik wurde bei Temperaturen oberhalb und unterhalb dieses magneto-elastischen Phasenübergangs untersucht. Es wurden keine Änderungen in der Gitterdynamik festgestellt. Jedoch konnte festgestellt werden, dass das Gitter für endliche x weicher ist als für das undotierte System. Für x = 0.67 wurde festgestellt, dass der Magnetismus im Ca1−xNaxFe2As2-System auch noch bei optimaler Dotierung zu finden ist. In der supraleitenden Phase wurde die Temperaturabghängigkeit der magnetischen Eindringtiefe untersucht und es wurden zwei supraleitende Bandlücken gefunden. Die Anisotropie der magnetischen Eindringtiefe ist temperaturunabhängig und mit γ_λ = 1.5(4) wesentlich kleiner als in anderen 122- Verbindungen, was für eine erhöhte Dreidimensionalität in Ca1−xNaxFe2As2 spricht. Pulverproben von Fe1+yTe mit y = 0.06, 0.12, 0.13 und 0.15 wurden untersucht. Es wurden fluktuierende paramagnetische Momente bei Raumtemperatur gefunden, welche unabhängig vom Überschusseisenlevel y sind. Unterhalb von 100 K wurde eine magnetische Vorgängerphase gefunden, welche unabhängig von y ist. Mit fallender Temperatur wurde eine Verlangsamung der magnetischen Fluktuationen festgestellt, welche in einer statischen magnetischen Ordnung bei tiefen Temperaturen münden.

Quasi-one-dimensional quantum models are ideal for theoretically exploring the physical phenomena associated with strong correlations. In this thesis we study three examples where strong correlations play an important role in the static or dynamic properties of the system. Firstly, we examine the behaviour of a doped fermionic two-leg ladder in which umklapp interactions are present. Such interactions arise at special band fillings and can be induced by the formation of charge density wave order in an array of two-leg ladders with long-range (three-dimensional) interactions. For the umklapp which arises from the half-filling of one of the bands, we show that the low-energy theory has a number of phases, including a strong coupling regime in which the dominant fluctuations are superconducting in nature. These superconducting fluctuations carry a finite wave vector – they are the one-dimensional analogue of Fulde-Ferrell-Larkin-Ovchinnikov superconductivity. In a second example, we consider a quantum spin model which captures the essential one-dimensional physics of CoNb₂O₆, a quasi-one-dimensional Ising ferromagnet. Motivated by high-resolution inelastic neutron scattering experiments, we calculate the dynamical structure in the paramagnetic phase and show that a small misalignment of the transverse field can lead to quasi-particle breakdown – a surprising broadening in the single particle mode observed in experiment. Finally, we study the out-of-equilibrium dynamics of a model with tuneable integrability breaking. When integrability is broken by the presence of weak interactions, we show that the system relaxes to a non-thermal state on intermediate time scales, the so-called “prethermalization plateau”. We describe the approximately stationary behaviour in this regime by constructing a generalised Gibbs ensemble with charges deformed to leading order in perturbation theory. Expectation values of these charges are time-independent, but interestingly the charges do not commute with the Hamiltonian to leading order in perturbation theory. Increasing the strength of the integrability breaking interactions leads to behaviour compatible with thermalisation. In each case we use a combination of perturbative analytical calculations and non-perturbative numerical computations to study the problem at hand.