Ziel dieser Arbeit war es, Beziehungen zwischen den kristallchemischen Eigenschaften und dem beobachteten anomalen Verhalten im spezifischen elektrischen Widerstand (nicht-magnetischer Kondo-Effekt) aufzuzeigen und zusammenhängend zu interpretieren. Verbindungen, an denen dieser Effekt beobachtet wurde, werden aus einem Übergangs-, oder Actinidmetall mit je einem Vertreter der 15. (Pniktogene) und 16. Gruppe (Chalkogene) des Periodensystems gebildet und kristallisieren im PbFCl-Strukturtyp. Da zu ternären Actinidmetall-Pniktid-Chalkogeniden (z.B. ThAsSe, UPS) nur sehr wenige chemische und kristallographische Informationen existieren, wurden in dieser Arbeit umfassende Untersuchungen zur Kristallchemie ternärer Phasen aus den Systemen M-Pn-Q (M = Zr, Hf, La-Ce; Pn = As, Sb; Q = Se, Te durchgeführt. Der Schwerpunkt lag dabei auf der strukturellen Lokalisierung der beobachteten Widerstandsanomalie und der Erarbeitung chemisch-physikalischer Eigenschaftsbeziehungen. Die Darstellung der untersuchten ternären Phasen in Form von Einkristallen gelang über exothermen Chemischen Transport mit Jod. Da die erhaltenen Kristalle bis zu mehreren Millimetern groß sind, konnten an ein und demselben Kristallindividuum sowohl die stoffliche Charakterisierung (EDXS, WDXS, ICP-OES, LA-ICP-MS, CIC) und die strukturelle Charakterisierung, als auch die Messung der physikalischen Eigenschaften erfolgen. Es konnte u.a. gezeigt werden, dass ZrAs1,4Se0,5 und HfAs1,7Se0,2 ein ähnlich ungewöhnliches Verhalten im temperaturabhängigen elektrischen Widerstand zeigen, welches bereits an Thorium-Arsenid-Seleniden und Uran-Phosphid-Sulfiden beobachtet wurde. Desweiteren gelang es den beobachteten Verlauf im elektrischen Widerstand, mit seinem Minium bei etwa T = 15 K, auf intrinsische strukturelle Merkmale in der anionischen Arsen-Teilstruktur zurückzuführen. / The aim of this work was, to evaluate and interpret a relationship between the crystal-chemical properties and the observed unusual behavior in the electrical resistivity (non-magnetic Kondo-effect). Compounds, which show such an effect, are formed by a transition- or actinide-metal with both a group 15 element and a group 16 element of the periodic table. All these compounds crystallizing in the PbFCl type of structure. Because of less crystallographic and chemical information about actinide-metal-pnictide-chalcogenides (i.e. ThAsSe, UPS), intensive investigation were made concerning the crystal-chemistry of ternary phases of the systems M-Pn-Q (M = Zr, Hf, La-Ce; Pn = As, Sb; Q = Se, Te. Our studies were focused on the structurally localization of the observed anomaly in the electrical resistivity and the evaluation of chemical-physical relations of properties. The synthesis of the investigated ternary phases was realized by exothermically Chemical Transport with iodine as transport agent. The dimension of the synthesized crystals allowed a chemical (EDXS, WDXS, ICP-OES, LA-ICP-MS, CIC) and structurally characterization, as well as a determination of the physical properties on one large single crystal. It could be shown, that ZrAs1,4Se0,5 and HfAs1,7Se0,2 reveal a similar unusual behavior in the temperature dependent electrical resistivity, as it was observed in thorium-arsenide-selenides and uranium-phosphide-sulphides. In conclusion, the non-magnetic Kondo-effect, which was found in the low-temperature range (about 15 K), arises from structurally features of the anionic sublattice with arsenic.

No description available.

No description available.

Die Elektronenspinresonanz (ESR) untersucht die im quasistatischen Magnetfeld resonante Absorption eines an die Probe angelegten Mikrowellenmagnetfeldes. Es wurde das System Yb1-w A1-w (Rh1-x Cox)2 (Si1-y Gey) 2 mit A=La, bzw. Lu, sowie das System YbIr2Si2 mittels ESR untersucht. Unter Kondo-Wechselwirkung vieler Leitungselektronen mit einem lokalen 4f-Moment des Kondo-Ions bildet sich ein nicht-magnetisches Grundzustands-Singlett, was zur Abschirmung des magnetischen Moments führt. YbRh2Si2 ist das erste Schwere-Fermionen-System mit Kondo-Ionen, das ohne Dotierung zusätzlicher ESR-Sonden ein ESR-Signal unterhalb der Kondo-Temperatur aufweist. Es zeigt sich, dass das ESR-Signal nicht mittels gängiger ESR-Theorien konsistent beschrieben werden kann. Die Messungen, die im Rahmen dieser Arbeit angestellt wurden, flossen in die Entwicklung von weiterführenden Theorien (z.B. [1], [2]) ein. Die Temperaturabhängigkeit des ESR-g-Faktors konnte damit erfolgreich beschrieben werden, womit erstmals der Nachweis einer Kondo-Wechselwirkung in Kondo-Gitter-Systemen mittels ESR gelang. Ferner konnte die Bedeutung von ferromagnetischen Fluktuationen für eine kleine, beobachtbare Linienbreite beschrieben werden. Der ESR-Methode ist somit die Kondo-Spindynamik direkt zugänglich. Dieser Zugang ist neu und einzigartig, denn andere Methoden (NMR, inelastische Neutronenstreuung) charakterisieren die Kondo-Spindynamik auf indirekte Weise. [1] P. Wölfle und E. Abrahams. Phenomenology of esr in heavy-fermion systems: Fermi-liquid und nicht-fermi-liquid regimes Phys. Rev. B, 80(23): 235112, 2009. [2] B. I. Kochelaev, S. I. Belov, A. M. Skvortsova, A. S. Kutusov, J. Sichelschmidt, J. Wykhoff, C. Geibel und F. Steglich. Why could electron spin resonance be observed in a heavy fermion kondo lattice? Eur. Phys. J. B, 72(4): 485, 2009.

Les composés intermétalliques à base de cérium présentent à basse température des propriétés magnétiques, électroniques et thermodynamiques tout à fait fascinantes. Deux interactions majeures entre la bande de conduction et les électrons localisés de la couche 4f entrent en compétition et régissent la physique de ces composés: l'effet Kondo tend à écranter les moments magnétiques 4f alors que les interactions RKKY favorisent plutôt des moments localisés et ordonnés. Un diagramme de phase complexe naît de cette compétition et le comprendre exige une caractérisation complète des niveaux 4f. La dégénérescence des multiplets liés au couplage spin-orbit est levée par les effets de champ cristallin, et les écarts entre les niveaux d'énergie qui en résultent ainsi que les symétries des états fondamentaux et excités doivent être déterminés expérimentalement. Les effets de champ cristallin dans les lanthanides peuvent être sondés par diverses techniques expérimentales dont la susceptibilité magnétique, la diffusion inélastique de neutrons, la spectroscopie par absorption de rayons X ou de photoémission. Cependant, chacune de ces techniques présente des limitations propres qui empêchent une caractérisation précise de ces effets. Nous présentons dans cette thèse les capacités de la technique de diffusion résonante inélastique des rayons X mous (soft-RIXS) à sonder les effets de champ cristallin dans les composés à base de cérium. Les dernières avancées en instrumentation ont permis de repousser les limites de la résolution en énergie jusqu'à 30 meV au seuil M5 du Cérium, suffisant pour séparer les transitions électroniques des plus bas des niveaux 4f. Le composé CeRh2Si2 a été étudié à titre d'exemple. Les énergies des excitations de couplage spin-orbit et de champ cristallin observées expérimentalement fournissent une mesure directe des écarts des niveaux 4f, tandis que la comparaison entre les spectres expérimentaux et des calculs basés sur le multiplet complet dans l'approximation à un ion permet d'identifier sans ambiguïté la symétrie des états de plus basse énergie du champ cristallin. L'orientation des fonctions d'ondes dans les plans ab du cristal peut aussi être déterminée de manière très simple en mesurant la polarisation des photons diffusés de manière inélastique. L'interaction avec les états itinérants peut introduire une variation de l'énergie des niveaux 4f en fonction du vecteur de diffusion q, qui se traduit par des signatures observables dans les spectres de diffusion inélastique résonante de rayons X. Un modèle simple est proposé pour expliquer la variation observée en fonction de q, mais des calculs théoriques plus poussés apparaissent nécessaires pour rendre compte de manière plus exacte de ces variations. L'étude des composés CeCu2Si2 et CeCo2Ge2 montre que la diffusion inélastique des rayons X peut sonder des effets de champ cristallin bien plus faibles ou bien plus importants que ceux observés dans CeRh2Si2. Dans le futur, une meilleure résolution en énergie et des modélisations plus poussées devraient encore améliorer la précision des études des effets de champ cristallin dans les composés de Cérium et autres lanthanides par diffusion inélastique de rayons X. / Cerium intermetallic compounds exhibit fascinating magnetic, electronic and thermodynamic properties at low temperatures. Their physics is governed by two competing interactions between the conduction band and localised 4f electrons: the Kondo effect tends to screen the 4f magnetic moments while RKKY exchange favours ordered local moments. From this competition, a complex phase diagram arises and its understanding requires a full characterisation the 4f levels. The crystal electric field (CEF) effects lift the degeneracy of the spin-orbit multiplets and the resulting energy splittings (tens of meV) as well as the symmetry of the ground and excited states must be determined experimentally. CEF effects in the lanthanides can be studied with a number of experimental probes including magnetic susceptibility, inelastic neutron scattering, X-ray absorption spectroscopy or photoemission spectroscopy. However, each of these techniques has limitations which can prevent an accurate characterisation. This thesis discusses the potential of Resonant Inelastic soft X-ray Scattering (soft-RIXS) to become a new probe of the CEF in cerium compounds. The latest advances in instrumentation have pushed the energy resolution in soft RIXS down to 30 meV at the Ce M5 edge, good enough to resolve the electronic transitions between the lowest lying 4f levels. This is demonstrated using the example of CeRh2Si2 spectra. The observed energies of the spin-orbit and CEF excitations provide a direct measurement of the 4f splittings and the comparison of the experimental spectra with full-multiplet single-ion calculations unambiguously identifies the symmetry of the lowest CEF levels. The orientation of the wave-functions in the crystal ab plane can also be determined in a straightforward manner by measuring the polarisation of the inelastically scattered photons. The interaction with itinerant states can lead to a momentum dependence of the 4f levels' energy and this leaves signatures in the excitation spectra that can be observed in RIXS. A simple model is proposed to explain the observed q dependence but further theoretical work is needed to properly account for the momentum dependence of the 4f excitations. Using the examples of CeCu2Si2 and CeCo2Ge2 it is demonstrated that RIXS can probe CEF splittings that are significantly smaller or much larger than those in CeRh2Si2. With better energy resolution and more advanced modelling RIXS studies of the CEF in cerium and other lanthanide ions will become even more accurate in the future.

La manipulation de la matière au niveau nanométrique a ouvert depuis une quinzaine d'années de nouveaux champs fondamentaux et applicatifs pour les scientifiques et les industriels. Dans ce nouveau paradigme, la nanoélectronique quantique se propose de fonder une nouvelle électronique basée sur les phénomènes quantiques de la matière et plus particulièrement sur la nature quantique des électrons. Ce projet de thèse s'articule autour d'un système électronique quantique hybride supraconducteur/nanotube de carbone (CNT) dénommé nano-SQUID. Ce dispositif présente une boucle supraconductrice contenant deux jonctions CNT en parallèle. Il couple de façon unique les propriétés d'un interféromètre supraconducteur SQUID avec celles de jonctions Josephson à boîte quantique moléculaire. A travers des expériences de transport réalisées, à des températures de quelques dizaines de milli-Kelvins, dans un cryostat à dilution inversé, nous avons étudié les interactions électroniques entre une boîte quantique nanotube et des électrodes supraconductrices. Nous nous sommes particulièrement focalisés sur l'influence de l'état de spin du nanotube sur le courant supraconducteur, qui peut, dans certaines conditions, conduire à la réalisation d'un jonction-. Par un contrôle électrostatique des paramètres microscopiques du dispositif nous avons ainsi pu définir un diagramme de phase expérimental des transitions 0- d'une jonction Josephson à boîte quantique. La dernière partie de cette thèse a porté sur l'utilisation du nano-SQUID comme magnétomètre. En effet, en couplant un aimant moléculaire au CNT composant le SQUID, il a été montré théoriquement qu'il est possible de détecter le retournement d'aimantation d'un spin unique. Nous avons ainsi couplé au nano-SQUID l'aimant moléculaire Double Decker Holmium et réalisé les premières mesures de détections magnétiques aux résultats prometteurs. / The manipulation of matter at the nano-scale has opened, since fifteen years, new fundamental and application avenues for science and industry. In this new paradigm, quantum nano-electronics propose to start a new electronics based on quantum effects of matter and more particularly on the quantum nature of electrons. This thesis project deals with an electronic hybrid superconductor/carbon nanotube (CNT) system called nano-SQUID. This device has a superconducting loop containing two CNT junctions in parallel. This unique system couples the properties of a superconducting interferometer (SQUID) with those of molecular quantum dot (QD) Josephson junctions (CNT junction). Through transport experiments performed in a reversed dilution cryostat at temperatures of several tens of milli-Kelvin, we studied the electronic interactions between a nanotube quantum dot and superconducting electrodes. We specifically focused on the influence of the magnetic state of the nanotube on the superconducting current flowing through. Depending on the QD spin state, the CNT Josephson junction can behave as a -junction. Finally a complete electrostatic control allowed us to define an experimental 0- phase diagram of a QD Josephson junction.

Neste trabalho estudamos o modelo da rede de Kondo em uma rede kagome, buscando uma maior compreensão dos efeitos da frustração geométrica em sistemas de férmions pesados. Para tanto, fizemos uma aproximação de campo médio no hamiltoniano do sistema que serve para todas as fases do sistema. Analisamos inicialmente o caso não magnético. Obtemos neste limite as energias eletrônicas e as funções de Green necessárias ao cálculo numérico autoconsistente das ocupações e do parâmetro de Kondo. Os resultados encontrados estão em concordância qualitativa com trabalhos publicados em outras geometrias. A seguir analisamos o caso magnético, onde introduzimos uma aproximação suplementar, a qual é compatível com a de campo médio já considerada e, em princípio, existente apenas em sistemas com frustração geométrica. Realizamos cálculos autoconsistentes através de somas sobre as frequências de Matsubara. Os resultados mostram que não há coexistência entre ordem magnética e efeito Kondo, além de haver a supressão do antiferromagnetismo com o aumento de temperatura e variações no preenchimento de bandas. / In this work we study the Kondo Lattice model for the kagome lattice, in order to understand better the effects of geometrical frustration in heavy-fermion systems. In this context, we consider a mean field scheme valid for all the system’s phases. Firstly, we analyzed the nonmagnetic case. In this approximation the electron energies and spectral functions are reachable, then we use the density of states to calculate the occupations selfconsistently. Our results are qualitatively compared with previous works in other geometries. In the second part we introduce an approximation for magnestism, which takes into account the mean field scheme considered and the presence of geometrical frustration. Self-consistent calculations are done through the frequencies summation method. Our results show that the magnetism is supressed when the temperature is increased or the band filling deviates from half-filling. Besides, the coexistence of magnetic order and Kondo effect is not observable.

Neste trabalho estudamos o modelo da rede de Kondo em uma rede kagome, buscando uma maior compreensão dos efeitos da frustração geométrica em sistemas de férmions pesados. Para tanto, fizemos uma aproximação de campo médio no hamiltoniano do sistema que serve para todas as fases do sistema. Analisamos inicialmente o caso não magnético. Obtemos neste limite as energias eletrônicas e as funções de Green necessárias ao cálculo numérico autoconsistente das ocupações e do parâmetro de Kondo. Os resultados encontrados estão em concordância qualitativa com trabalhos publicados em outras geometrias. A seguir analisamos o caso magnético, onde introduzimos uma aproximação suplementar, a qual é compatível com a de campo médio já considerada e, em princípio, existente apenas em sistemas com frustração geométrica. Realizamos cálculos autoconsistentes através de somas sobre as frequências de Matsubara. Os resultados mostram que não há coexistência entre ordem magnética e efeito Kondo, além de haver a supressão do antiferromagnetismo com o aumento de temperatura e variações no preenchimento de bandas. / In this work we study the Kondo Lattice model for the kagome lattice, in order to understand better the effects of geometrical frustration in heavy-fermion systems. In this context, we consider a mean field scheme valid for all the system’s phases. Firstly, we analyzed the nonmagnetic case. In this approximation the electron energies and spectral functions are reachable, then we use the density of states to calculate the occupations selfconsistently. Our results are qualitatively compared with previous works in other geometries. In the second part we introduce an approximation for magnestism, which takes into account the mean field scheme considered and the presence of geometrical frustration. Self-consistent calculations are done through the frequencies summation method. Our results show that the magnetism is supressed when the temperature is increased or the band filling deviates from half-filling. Besides, the coexistence of magnetic order and Kondo effect is not observable.

Neste trabalho é calculada a contribuição de duas impurezas magnéticas ao calor específico e à entropia de um metal através do grupo de renormalização numérico. Tal sistema físico foi descrito pelo modelo Kondo de duas impurezas, onde cada impureza é simplesmente um momento magnético associado a um spin S=1/2, e representa um elétron ocupando um orbital de uma impureza magnética adicionada ao metal não magnético.Para tornar possível o cálculo com malhas de discretização grossas, foi introduzida uma correção no processo de discretização, levando a novas expressões para as energias da banda de condução discretizada e permitindo um melhor tratamento da assimetria partícula-buraco do modelo. Tal assimetria decorre da dependência com a energia do acoplamento entre as impurezas e os elétrons de condução do metal. A utilização de malhas grossas é extremamente desejável para a diminuição do esforço computacional envolvido. / In this work the contribution of two magnetic impurities to the specific heat and the entropy of a metal through the group of numerical renormalization is calculated. Such physical system was described for the Kondo model of two impurities, where each impurity is simply an associated magnetic moment to one spin S=1/2, and represents an electron occupying a orbital one of a magnetic impurity added to the magnetic metal. To not become possible the calculation with thick meshes of discretization, was introduced a correction in the discretization process, having led the new expressions for the energies of the band of discredited conduction and allowing to one better treatment of the asymmetry particle-hole of the model. Such asymmetry elapses of the dependence with the energy of the coupling between the impurities and electrons of conduction of the metal. The use of thick meshes is extremely desirable for the reduction of the involved computational effort.

Neste trabalho estudamos o modelo da rede de Kondo em uma rede kagome, buscando uma maior compreensão dos efeitos da frustração geométrica em sistemas de férmions pesados. Para tanto, fizemos uma aproximação de campo médio no hamiltoniano do sistema que serve para todas as fases do sistema. Analisamos inicialmente o caso não magnético. Obtemos neste limite as energias eletrônicas e as funções de Green necessárias ao cálculo numérico autoconsistente das ocupações e do parâmetro de Kondo. Os resultados encontrados estão em concordância qualitativa com trabalhos publicados em outras geometrias. A seguir analisamos o caso magnético, onde introduzimos uma aproximação suplementar, a qual é compatível com a de campo médio já considerada e, em princípio, existente apenas em sistemas com frustração geométrica. Realizamos cálculos autoconsistentes através de somas sobre as frequências de Matsubara. Os resultados mostram que não há coexistência entre ordem magnética e efeito Kondo, além de haver a supressão do antiferromagnetismo com o aumento de temperatura e variações no preenchimento de bandas. / In this work we study the Kondo Lattice model for the kagome lattice, in order to understand better the effects of geometrical frustration in heavy-fermion systems. In this context, we consider a mean field scheme valid for all the system’s phases. Firstly, we analyzed the nonmagnetic case. In this approximation the electron energies and spectral functions are reachable, then we use the density of states to calculate the occupations selfconsistently. Our results are qualitatively compared with previous works in other geometries. In the second part we introduce an approximation for magnestism, which takes into account the mean field scheme considered and the presence of geometrical frustration. Self-consistent calculations are done through the frequencies summation method. Our results show that the magnetism is supressed when the temperature is increased or the band filling deviates from half-filling. Besides, the coexistence of magnetic order and Kondo effect is not observable.