Rozprawy doktorskie na temat „Resonant inelastic X-Ray”

This research focuses on the development of Resonant Inelastic X-ray Scattering spectroscopy (RIXS) as a tool in homogeneous catalysis by looking at 3d transition metal compounds and specifically Cr(salen) epoxidation catalysts. Previous studies have demonstrated the sensitivity of transition metal K-edge X-ray absorption pre-edge and edge features to their chemical environment, but the exact origins are unassigned. The aim of this study is to bring together a collection of complementary, and some novel, X-ray techniques to assign these features and obtain more detailed structural and electronic information on the systems under investigation. Novel high energy resolution data on transition metal complexes have been obtained and the pre-edge region has been simulated with the FEFF9 multiple scattering code. The increase in spectral structure compared to normal XANES allows for a more detailed analysis and as such, provides detailed insights in the electronic properties. L-edge XAS data obtained using soft X-rays enabled the determination of crystal field parameters, which were compared with other X-ray (RIXS) and optical absorption techniques. The novel RIXS experiments provide L and K-edge spectra unaffected by lifetime broadening or background from the main absorption edge. 2D images of X-ray emission as a function of absorption are obtained, revealing the relationship between them and providing direct and detailed information on the presence and position of molecular orbitals. These 1s2p RIXS experiments make use of hard X-rays enabling in-situ experiments, which are important in the field of catalysis, making it a promising tool to monitor the changing electronics of the metal centre as well as ligand coordination during the catalytic process. Whereas the electronic differences on the Cr metal as a function of salen ligand are not revealed by the current RIXS experiments, which is likely due to resolution issues, new preliminary insights in the different catalytic Cr intermediates of the epoxidation reaction have been obtained.

Les phonons contribuent à la diffusion inélastique résonante des rayons X (RIXS) du fait du couplage entre les degrés de liberté électronique et ceux du réseau. Contrairement à d'autres techniques sensibles aux interactions électron-phonon, la technique RIXS peut donner accès aux constantes de couplage dépendantes du moment. Des informations sur la dispersion de l'interaction électron-phonon sont très précieuses dans le contexte de la supraconductivité anisotrope conventionnelle et non conventionnelle.Nous avons considéré la contribution des phonons sur la diffusion RIXS d’un point de vue théorique. Contrairement aux études précédentes nous soulignons le rôle du couplage du réseau avec les trous de cœur. Notre modèle, avec les paramètres obtenus ab-initio, montre que même dans le cas d'un trou de coeur profond, la technique RIXS sonde le couplage exciton-phonon plutôt qu’un couplage direct électron-phonon.Cette différence conduit à des écarts quantitatifs et qualitatifs pour le couplage électron-phonon implicite par rapport à l'interprétation standard dans la littérature. Ainsi, notre objectif est de développer une approche rigoureuse pour quantifier le couplage électron-phonon dans le contexte des mesures de diffusion RIXS. La possibilité de reproduire avec précision les résultats expérimentaux à partir des calculs ab-initio, sans recourir à des paramètres ajustés, doit être considérée comme le test ultime d'une compréhension correcte de la contribution des phonons sur la diffusion RIXS.Nous commençons notre travail en considérant uniquement l’interaction trou de coeur-phonon dans le contexte de la spectroscopie par photoémission de rayons X. Nous combinons un calcul ab-initio de la fonction de réponse en espace réel avec des techniques de fonctions de Green à plusieurs corps pour reproduire les bandes latérales vibrationnelles dans les molécules SiX4 (X = H, F). L'approche que nous avons développée peut être appliquée aux matériaux cristallins.Nous examinons ensuite la contribution des phonons aux spectres d'absorption des rayons X. Contrairement aux excitations chargées générées par la photoémission par rayons X, l'absorption des rayons X crée une excitation neutre que nous approchons en tant que trou de cœur et électron excité. Nous résolvons d’abord la partie électronique du problème au niveau de l’équation de Bethe-Salpeter, puis nous habillons la quasi-particule excitonique à 2 particules résultante avec les interactions exciton-phonon en utilisant l’Ansatz des cumulants. La viabilité de cette méthode a été testée en calculant le seuil K XAS de la molécule N2 et le seuil K d’Oxygène de l’acétone. Les spectres vibrationnels obtenus concordent avec les résultats expérimentaux.Enfin, nous construisons une formulation hybride de la section transversale RIXS qui préserve la sommation explicite sur un petit nombre d'états finals, mais remplace la sommation sur les états intermédiaires, ce qui pourrait être extrêmement coûteux, par une fonction de Green. Nous avons obtenu un développement de la fonction de Green et dérivé des solutions analytiques exactes (dans la limite de non-recul) et approximatives. Le formalisme a de nouveau été testé sur le seuil K de l'acétone et est bien en accord avec l'expérience. En perspectives des travaux futurs, nous discutons de l’applicabilité de notre formalisme aux matériaux cristallins
Phonons contribute to resonant inelastic X-ray scattering (RIXS) as a consequence of the coupling between electronic and lattice degrees of freedom. Unlike other techniques that are sensitive to electron-phonon interactions, RIXS can give access to momentum dependent coupling constants. Information about the dispersion of the electron-phonon interaction is highly desirable in the context of understanding anisotropic conventional and unconventional superconductivity.We considered the phonon contribution to RIXS from the theoretical point of view. In contrast to previous studies, we emphasize the role of the core-hole lattice coupling. Our model, with parameters obtained from first principles, shows that even in the case of a deep core-hole, RIXS probes exciton-phonon coupling rather than a direct electron-phonon coupling.This difference leads to quantitative and qualitative deviations from the interpretation of the implied electron-phonon coupling from the standard view expressed in the literature. Thus, our objective is to develop a rigorous approach to quantify electron-phonon coupling within the context of RIXS measurements. The ability to accurately reproduce experimental results from first-principles calculations, without recourse to adjustable parameters, should be viewed as the ultimate test of a proper understanding of the phonon contribution to RIXS.We start by considering only the core-hole--phonon interaction within the context of X-ray photoemission spectroscopy. We combine an ab initio calculation of the real-space response function with many-body Green's functions techniques to reproduce the vibrational side-bands in SiX4 (X=H, F) molecules. The approach we developed is suitable for application to crystalline materials.We next consider the phonon contribution to X-ray absorption spectra. Unlike the charged excitations generated by X-ray photoemission, X-ray absorption creates a neutral excitation that we approximate as a core-hole and an excited electron. We first solved the electronic part of the problem on the level of the Bethe-Salpeter equation and then dressed the resulting 2-particle excitonic quasiparticle with the exciton-phonon interactions using the cumulant ansatz. The viability of this methodology was tested by calculating the N K-edge XAS of the N2 molecule and the O K-edge of acetone. The resulting vibronic spectra agreed favorably with experimental results.Finally, we construct a hybrid formulation of the RIXS cross section that preserves explicit summation over a small number of final states, but replaces the summation over intermediate states, which might be enormously expensive, with a Green's function. We develop an expansion of the Green's function and derive both analytically exact (in the no-recoil limit) and approximate solutions. The formalism was again tested on the O K-edge of acetone and agrees well with the experiment. To provide an outlook towards future work, we discuss application of the developed formalism to crystalline materials

The capability to probe the dispersion of elementary spin, charge, orbital, and lattice excitations has positioned resonant inelastic x-ray scattering (RIXS) at the forefront of photon science. In this work, we will investigate how RIXS can contribute to a deeper understanding of the orbital properties and of the pairing mechanism in unconventional high-temperature superconductors. In particular, we will show how direct RIXS spectra of magnetic excitations can reveal long-range orbital correlations in transition metal compounds, by discriminating different kind of orbital order in magnetic and antiferromagnetic systems. Moreover, we will show how RIXS spectra of quasiparticle excitations in superconductors can measure the superconducting gap magnitude, and reveal the presence of nodal points and phase differences of the superconducting order parameter on the Fermi surface. This can reveal the properties of the underlying pairing mechanism in unconventional superconductors, in particular cuprates and iron pnictides, discriminating between different superconducting order parameter symmetries, such as s, d (singlet pairing) and p wave (triplet pairing).

RNiO3 perovskites (R=rare earth) are one of the most interesting compounds in condensed matter physics presenting various unusual physical properties. The detailed electronic structure of these materials are very controversial at the present time. The charge transfer energy and the d-d Coulomb interaction are the two very important parameters which can explain their electronic behaviours nicely. However, predicting their values has been a challenge to the science society so far. X-ray Absorption Spectroscopy (XAS) and Resonant Inelastic Scattering (RIXS) are the two very useful techniques to probe the electronic structure of a solid state system in general and predict these two energies in particular. In this thesis Multiplet Ligand Field Cluster Calculation (MLFCC) is used to calculate these two spectra, then the charge transfer energy (Δ), the covalent hopping integral(pds), and the d-d Coulomb repulsion energy Udd are obtained by fitting the calculated spectra to the experiment. In this work, the calculated XAS results are compared with the experiment and the adjusted values are introduced as Δ=2.5eV , pds=-1.9eV, Udd=7.5eV and 10Dq=0.5 eV. The low spin to high spin transition is also studied and the critical charge transfer energies and covalent hopping integrals are calculated at which the abrupt transition happens. It is also found that in almost all low spin cases the d8L9 configuration has the largest contribution to the ground state. Since the best fit of XAS is not satisfactory and displays considerable differences with the experiment, the study is followed with the RIXS calculations. Finally, the calculated RIXS results for different polarizations are compared with the experiment.It results in a smaller Δ=0.8eV and a smaller absolute value of pds=-1.4eV at which the double peak structure in XAS L3 vanishes. This could be an evidence to the fact that XAS should not be interpreted in the conventional way and the Δ should not be fitted to keep the double peak which probably has another source than the multiplet structure.

This thesis addresses the electronic structure of vanadium and copper oxides using soft X-ray absorption (SXA) spectroscopy and resonant inelastic X-ray scattering (RIXS) at high brightness synchrotron radiation sources. In RIXS incident photons, tuned to the energy of specific absorption resonances, are inelastically scattered leaving behind a low energy valence excitation in the system studied. Effects of electron localization are reflected by the occurrence of low-energy excitations in form of dd- and charge-transfer excitations that are modelled by cluster calculations. Band-like states are dominating when the intermediate core excited state is delocalized.

RIXS at V 2p and O 1s resonances has been used to study the electronic structure of the monovalent vanadium oxides VO₂ and V₂O₃, and of the mixed valence compounds, NaV₂O₅ and V₆O₁₃. For NaV₂O₅ and V₆O₁₃ significant contributions from localized low-energy excitations reflect the partly localized character of their valence band electronic structure, whereas VO₂ and V₂O₃ appear mostly as band-like. Effects of carrier doping are addressed for the case of Mo doping into VO₂ and reveal a quasi-rigid band behavior. In the cases of VO₂ and V₆O₁₃ the temperature dependent metal-insulator transition could be monitored by following the spectral evolution of bands originating from V 3d and V 3d - O2p hybridized states. For Na₂V₃O₇ nanotubes it was possible to selectively probe states from the apical and the basal oxygen sites of VO₅ pyramids that constitute these nanotubes. Furthermore, the RIXS technique has been demonstrated to be highly valuable in characterizing the charge transfer processes that accompany lithium insertion into vanadium oxide battery cathodes. Finally, for insulating cuprates RIXS at O 1s, Cu 3p and Cu 3s resonances has been recorded at high-resolution for the detailed investigation of crystal field excitations.

Les propriétés physiques intriguantes présentées dans certains oxydes complexes de métaux de transition sont attractives non seulement pour la recherche fondamentale, mais pour les applications, par exemple, la supraconductivité, la magnétorésistance colossale, la multiferroïcité. La forte corrélation électronique est à l'origine de ces comportements.La thèse contribue à la fois à l'effort expérimental de détermination de la structure électronique des systèmes fortement corrélés et à l'analyse critique des modèles théoriques les décrivant. Expérimentalement, le travail a porté sur la diffusion inélastique résonante des rayons X pour déterminer les excitations électroniques de basse énergie de l'état fondamental (excitations d-d, transfert de charge, etc.). Les expériences ont été effectuées sur la ligne de lumière SEXTANTS du synchrotron SOLEIL (France), en utilisant le spectromètre AERHA avec un haut pouvoir résolvant. L'analyse des résulats a été focalisée sur la détermination du champ cristallin des métaux de transition en jeu en utilisant la théorie des multiplets avec champ cristallin.Deux systèmes ont été étudiés: les composés multiferroïques RMnO3 (R = Tb, Dy) et un isolant de Mott ferromagnétique Lu2V2O7
The intriguing physical properties presented in some complex oxides of transition metals draw attention not only in fundamental research but also in applications, for instance, superconductivity, colossal magnetoresistance, multiferroicity. The strong electronic correlation is at the origin of these behaviours. The thesis is a contribution to both the experimental effort to determine the electronic structure of strongly correlated systems and the critical assesment of the theoretical models describing them. Experimentally, the work of is devoted to the investigations of the low-energy excitations (d-d excitations, charge transfer, …) of the ground state by resonant inelastic x-ray scattering. The experiments have been performed on the SEXTANTS beamline of SOLEIL synchrotron (France) using the high resolving power AERHA spectrometer. The analysis of the data has been focused on the determination of the the crystal field of the transition metal involved using the crystal field multiplets theory.Two systems have been investigated: the multiferroics RMnO3 (R = Tb, Dy) and the ferromagnetic Mott insulator Lu2V2O7

In this Thesis studies of highly excited states in gas-phase atoms and molecules (He, Ne, N₂, O₂, N₂O and CO₂) using a variety of synchrotron-radiation based techniques are presented. The three techniques used most frequently are X-ray-emission-threshold-electron coincidence (XETECO), X-ray emission spectroscopy (XES) and X-ray photoelectron spectroscopy (XPS) and they are all given a brief introduction.

The fluorescence yield (FY) from doubly excited states in helium near the N=2 threshold(s) has been investigated in weak static external magnetic and electric fields, but also in a field free environment. The FY spectra in weak static magnetic fields show the importance of including the diamagnetic interaction in the theoretical models. The presence of weak static electric fields shows that even weak fields (as low as 44 V/cm) has a great impact on the observed FY spectra. Resonant XES spectra from some of the first doubly excited states in helium has been recorded in a field free environment, and compared to theory.

The XETECO technique is presented and the first XETECO results from Ne, N₂, O₂, CO₂ and N₂O are shown, together with interpretations of possible threshold dynamics. I show that XETECO can be interpreted as threshold photoelectron spectra free from post collision interaction, and can hence be compared to above threshold XPS measurements. The observed below-threshold structures in the XETECO spectra are discussed and given a tentative explanation. The results from the analysis of the N₂O XETECO spectrum lead to further investigations using XPS. Results showing the vibrational parameters and vibrationally resolved cross-sections and asymmetry parameters for N₂O are presented together with theoretical predictions.

This thesis addresses the investigation of doubly excited 2l´nl states in helium atoms and double core excitations in solid lithium compounds.

Measurements on He are made in field free environments and under the influence of electric and magnetic fields, using synchrotron based inelastic photon scattering. Cross sections for scattering to singly excited final states are directly determined and compared to theoretical results and are found to be in excellent agreement. Radiative and spin-orbit effects are quantified and are shown to play an important role in the overall characterization of highly excited He states below the N =2 threshold. A dramatic electric field dependence is also observed in the flourecence yield already for relatively weak fields. This signal increase, induced by electric as well as magnetic fields, is interpreted in terms of mixing with states of higher fluorescence branching ratios.

Double core excitations at the lithium site in solid lithium compounds are investigated using resonant inelastic x-ray scattering (RIXS). The lithium halides LiF, LiCl, LiBr and LiI are studied as well as the molecular compounds Li2O, Li2CO3 and LiBF4. States with one, as well as both, of the excited electrons localized at the site of the bare lithium nucleus are identified, and transitions which involve additional band excitations are observed. A strong influence of the chemical surrounding is found, and it is discussed in terms of the ionic character of the chemical bond.

Um neue Halbleiter-Bauelemente zu entwickeln und die Effizienz bereits existierender zu verbessern, müssen neue Materialien erkundet und untersucht werden. Für Anwendungen in Hochleistungselektronik und UV-Optoelektronik ist Ga2O3 mit seiner ultra-weiten Bandlücke von 4.8 eV ein vielversprechender Kandidat. Diese Anwendung haben zu wachsendem Interesse an seinen fundamentalen elektronischen und optischen Eigenschaften geführt. Diese Dissertation präsentiert eine umfassende ab initio-Untersuchung der elektronischen Anregungen in Ga2O3, um zu dem Verständnis dieser fundamentalen Eigenschaften beizutragen. Die Arbeit besteht aus zwei Teilen: Im ersten Teil präsentieren wir eine Vielteilchen-Störungstheorie Methode zur konsistenten Berechnung der neutralen Anregungen von Valenz- und Kernelektronen in kristallinen Halbleitern. Diese ermöglicht die präzise Berechnung von Absorptions- und Streuungsspektren vom optischen bis zum Röntgenbereich. Zusätzlich präsentieren wir einen neuartigen Ausdruck für resonante inelastische Röntgenstreuung (RIXS) innerhalb unseres Vielteilchen-Formalismus, der eine detaillierte Analyse dieser Streuung erlaubt. Mit ausgewählten Beispielen demonstrieren wir das Potential unserer Implementation, die Spektren dieser verschiedenen spektroskopischen Methoden zu berechnen, zu analysieren und zu interpretieren. Im zweiten Teil der Dissertation verwenden wir unsere Methode, um die Anregungen der Valenzelektronen, sowie der Ga 1s-, Ga 2p- und O 1s-Elektronen in Ga2O3 zu berechnen. Wir finden ausgeprägte Unterschiede in den diversen Röntgenabsorptionsspektren von Ga2O3 -Polymorphen, die von der unterschiedlichen lokalen elektronischen Struktur stammen. Wir bestimmen die Zusammensetzung der Valenz- und Kernanregungen und analysieren ihre Signatur in den verschiedenen Absorptions- und Streuungsspektren. Abschließend demonstrieren wir wie RIXS einen zusätzlichen Blickwinkel auf die Valenz- und Kernanregungen und deren Wechselwirkungen ermöglicht.
To develop new semiconductor devices and improve the performance of existing ones, the exploration and understanding of novel materials is required. With an ultra-wide band gap of around 4.8 eV, Ga2O3 is a promising candidate for applications in UV-optoelectronics and power electronics. These applications have led to an increasing interest in its fundamental electronic and optical properties. In this thesis, we present a comprehensive first-principles study of the electronic excitations of Ga2O3 to contribute to the understanding of these fundamental properties. The thesis consists of two parts: In the first part, we present an all-electron many-body perturbation theory (MBPT) approach for consistent calculations of neutral core and valence excitations. It enables accurate calculation of absorption and inelastic scattering spectra in the optical, UV, and x-ray region. While these spectroscopic techniques probe either the valence or core excitations, resonant inelastic x-ray scattering (RIXS) reveals the interplay between the two. We present a novel expression for the RIXS cross section within our all-electron many-body formalism that allows for a detailed analysis of this interplay. We demonstrate the capability of our implementation to compute, analyze, and interpret the different spectroscopic techniques with selected examples of prototypical insulators. In the second part, we apply our approach to study valence excitations, as well as excitations of various core states, i.e. the gallium 1s, gallium 2p, and oxygen 1s states in Ga2O3 . Comparing the core spectra of Ga2O3 polymorphs, we find distinct differences that originate from their local environments. We determine the composition of valence and core excitons, and analyze their signatures in the various absorption and scattering spectra. Finally, we demonstrate how RIXS can be employed to provide a different viewpoint on the core and valence excitations and unravel the interplay between them.

Les oxydes d’iridium (iridates) ont attiré particulière attention au cours de la dernière décennie grâce à l’identification d’un état isolant de Mott induit par l’action conjointe du champ cristallin, de la corrélation électronique et du couplage spin-orbite. Cet état a été intensément investigué et des phases et excitations nouvelles ont été prédites théoriquement et aussi individuées expérimentalement. Sans doute, la diffusion inélastique résonante de rayons X (RIXS) est l’une des techniques les plus adoptée pour mesurer les excitations à basse énergie des iridates. En effet, la section efficace relativement large de la spectroscopie RIXS au seuil L3 de l’iridium et la bonne résolution en énergie ont encouragé l’emploi de cette technique. Cette thèse se pose un double objectif : concevoir des développements instrumentaux ayant pour but d’améliorer les possibilités offertes par la spectroscopie RIXS, et appliquer le RIXS afin d’étudier la physique à basse énergie de certains iridates.Le principal projet de développement instrumental est un nouveau spectromètre RIXS avec résolution en polarisation. L’analyse de la polarisation des rayons X diffusés permet d’obtenir des informations sur la symétrie et donc la nature des excitations. Cependant, elle est peu employée à cause de problèmes techniques qui naissent quand l’on veut préserver aussi la résolution en énergie et l’efficience du spectromètre. Même si le polarimètre RIXS projeté n’est pas encore disponible, le schéma optique a été vérifié et validé. Le polarimètre aura une résolution en énergie et une efficience équivalentes à celles des spectromètres RIXS courants. Le second développement technique comprend l’équipement permettant de réaliser des mesures RIXS à basse température et haute pression. Ces équipements ont permis d’investiguer l’évolution en pression des excitations magnétique du composé Sr3Ir2O7 en dessous de la température de Néel et jusqu’au 12 GPa. Les mesures peuvent aider l’affinage des modèles magnétiques courants pour ce système. Ces mesures démontrent que les excitations magnétiques peuvent être acquises en haute pression par la spectroscopie RIXS, démontrant ainsi la possible utilisation de cette technique dans ce nouveau domaine.Cette thèse comprend aussi des ultérieurs travails expérimentaux. Le premier considère le composé CaIrO3, dont la structure cristalline est constituée par des octaèdres partageant un sommet et une arête dans deux directions orthogonales. Du coup, les interactions magnétiques sont très différentes selon la direction cristallographique. Spécifiquement, la suppression du couplage de type Heisenberg dans la direction où les octaèdres partagent une arête produit des interactions magnétiques principalement unidimensionnelles. La caractéristique de ceux-ci est la présence d’un continuum d’excitations avec une dépendance en énergie et quantité de mouvement typique, qui a été révélé par la spectroscopie RIXS. Les excitations électroniques de CaIrO3 ont aussi des caractéristiques propres. Enfin, j’ai étudié les propriétés électroniques du composé Rb2[IrF6]. Des calculs récents proposaient que ce système possède un état d’isolant de Mott similairement aux oxydes d’iridium. Les mesures RIXS ont aidé à éclairer les propriétés électroniques de ce composé. La solidité des propriétés électroniques a été vérifiée par rapport à la substitution du métal alcalin ou de l’halogène, et à l’application de pression.Cette thèse accroit l’importance de l’utilisation de la spectroscopie RIXS dans des domaines qui étaient précédemment inexplorés. L’analyse de la polarisation des rayons X diffusés sera avantageuse dans les cas où la nature des excitations ne peut être établie sans ambiguïté. L’équipement développé pour réaliser les mesures RIXS en conditions extrêmes permet d’étudier la dynamique électronique et magnétique dans des phases de la matière inaccessibles jusqu’à aujourd’hui
Iridium oxides (iridates) have raised notable attention in the last decade due to the identification of a Mott insulating state realized by the joint action of crystal field, electron correlation, and spin-orbit coupling. Such state has been intensively investigated and novel quantum phases and excitations have been theoretically predicted and experimentally found. Undoubtedly, one of the most employed techniques to elucidate the low-energy physics of iridates is resonant inelastic X-ray scattering (RIXS). At the iridium L3 edge, it benefits from a particularly good energy resolution, which matches the energy scales of the relevant excitations, and from a favorable inelastic cross-section. The aim of the present thesis is twofold: conceive challenging instrumental upgrades that contribute to the advancement of the technique itself, and apply RIXS to inspect the magnetic and electronic properties of selected iridates.The main instrumental development concerns the design of a new RIXS spectrometer with polarization resolution. Polarization analysis of the scattered X-rays provides useful information about the symmetry and thus the nature of an excitation. However, it is rather unexploited because of severe technical challenges when energy resolution and efficiency must be preserved. The designed RIXS spectrometer with polarization analysis capabilities is still under construction, however the optical scheme has been validated by preliminary tests. Full polarization analysis is expected without degradation of energy resolution or efficiency with respect to current state-of-the-art RIXS spectrometers. Additional technical developments include sample-environment equipment to perform RIXS experiments in low-temperature and high-pressure conditions. The equipment has been successfully utilized to investigate the magnetic dynamics of the bilayer-perovskite Sr3Ir2O7 below its Néel temperature and up to 12 GPa. Our measurements provide additional observations that may sharpen the challenge to theoretical understanding of the magnetic dynamics of this material. Moreover, we demonstrate for the first time that RIXS experiments of the magnetic dynamics can be extended to unexplored thermodynamic conditions.Besides instrumental advances, additional experimental work has been carried out in order to study the magnetic and electronic excitations of the post-perovskite CaIrO3. Owing to its peculiar crystal structure, featuring both edge- and corner-sharing octahedra, the magnetic interactions of CaIrO3 are very different along orthogonal directions. In particular, the inhibition of the Heisenberg coupling along the edge-sharing direction induces one-dimensional magnetic behavior with characteristic fractional spinon-like excitations, which have been detected by RIXS. Electronic excitations are also found to have particular properties. Finally, I have focused on the electronic structure of Rb2[IrF6], which was theoretically predicted to realize a Mott insulating state similar to the one of iridium oxides. RIXS measurements helped to elucidate the electronic properties of this compound. The robustness of the electronic state has been tested against substitutions of the alkali metal and halogen, and application of physical pressure.The present work extends the potential of the RIXS technique to domains previously unexplored, i.e. polarization analysis of the scattered X-rays and high-pressure low-temperature experiments. I hope that the instrumental upgrades and applications of RIXS discussed in this thesis will further promote the technique as a powerful and reliable tool to characterize elementary excitations in correlated-electron systems

This thesis explores and expands upon theoretical means of quantifying a number of nonlinear spectroscopies, including two-photon absorption, resonant-inelastic x-ray scattering, Jones birefringence, and magnetic circular dichroism. On top of that, detailed information is given for the derivation and program implementation of damped cubic response functions. Complex-valued cubic response functions have been implemented in the quantum chemistry package DALTON, based on working equations formulated for an approximate-state wave function. An assessment of the implementation, such that for small frequencies the second-order hyperpolarizability should behave according to an analytic function that depends quadratically on the optical frequencies. It is demonstrated how two-photon absorption (TPA) can be described either through second-order transition moments or via the damped cubic response function. A few calculated TPA profiles are produced for a set of smaller molecules, in order to display the capability of the cubic response function in the x-ray frequency region. Resonance-inelastic x-ray scattering (RIXS) is explored in a similar manner as two-photon absorption. It is shown how the second-order hyperpolarizability can represent RIXS in the limit of intermediate-state and final-state resonances. Complications emerging from the complex dispersion of the hyperpolarizability are discussed. Moreover, linear birefringences, with focus on the Jones birefringence, are investigated for noble gases, monosubstituted benzenes, furan homologues, and a pure acetonitrile liquid. A linear relation between the Jones birefringence and the empirical para-Hammett constant as well as the permanent electric dipole moment is presented. Estimations of three linear birefringences --- Kerr, Cotton--Mouton, and Jones ---are obtained by averaging over a set of liquid snapshots. The Jones effect for acetonitrile turns out to be unusually large inmparison to the other two investigated linear birefringences. The final chapter of the thesis investigates magnetically induced circular dichroism (MCD). A question regarding relative stability of the first set of excited states for DNA-related molecular systems is resolved through MCD by exploiting the signed nature of circular dichroisms. Furthermore, to what extent solvent contributions affect MCD spectra is explored. The effect on uracil MCD spectrum due to thionation is studied, for which the degree of redshifting for systems 2-thiouracil and 4-thiouracil can be seen to be addative as compared to the 2,4-dithiouracil system.

QC 20171129

L’objectif de cette thèse est d’appliquer en mode in situ les spectroscopies de diffusion inélastique résonante de rayons X (RIXS 1s2p) et d’absorption X hautement résolue en énergie par détection partielle de fluorescence (HERPFD-XAS) à l’étude de la sulfuration des catalyseurs HDS. En effet, seule une compréhension fine de la structure et de la nature de la phase active des catalyseurs à l’échelle moléculaire permet d’améliorer leurs performances dans les procédés catalytiques. Après avoir présenté un état de l’art sur la caractérisation de la phase active des catalyseurs d’hydrotraitement, nous avons montré le potentiel de ces méthodes spectroscopiques à travers des composés de référence à base de cobalt, où celui-ci se trouve dans des symétries différentes avec des degrés d’oxydation différents. Ces résultats révèlent que ces techniques spectroscopiques sont sensibles à la coordinence locale du cobalt ainsi qu’à sa structure électronique. Deux échantillons ont été étudiés pour la sulfuration in situ : cobalt supporté sur alumine et cobalt-molybdène supporté sur alumine. Les résultats par spectroscopie HERPFD-XAS au seuil K du cobalt montrent pour les deux échantillons la formation de CoS2 avant les phases CoMoS et Co9S8, ainsi qu’une contribution constante de CoAl2O4 (phase réfractaire à la sulfuration). L’analyse par la spectroscopie RIXS 1s2p a révélé que le cobalt, présent dans la phase active des catalyseurs, présente un caractère métallique, ce qui a permis de réinterpréter un certain nombre de données présentes dans la littérature
The aim of this PhD dissertation is to apply resonant inelastic X-Ray scattering (RIXS 1s2p) and high energy resolution partial fluorescence detection X-ray absorption spectroscopy (HERPFD-XAS) to the study in situ sulfurization of HDS catalysts. Indeed, only a detailed understanding of the structure and nature of the active phase of the catalysts at the molecular level makes it possible to improve their catalytic performance. After presenting a state of the art on the characterization of the active phase of hydrotreating catalysts, we have shown the potential of these spectroscopic methods through the study of cobalt-based reference compounds where cobalt is present in different symmetries with different oxidation states. These results reveal that these spectroscopic techniques are sensitive to the local coordination of cobalt, as well as to its electronic structure. Two samples were studied for in situ sulfurization: cobalt supported on alumina and cobalt-molybdenum supported on alumina. The HERPFD-XAS spectroscopy results at cobalt K-edge show CoS2 formation before the CoMoS and Co9S8 phases for both samples, as well as the constant contribution of CoAl2O4 (phase that does not undergo sulfurization). Analysis by 1s2p RIXS spectroscopy revealed that the cobalt, present in the active phase of the both catalyst, has a metallic character, which allowed to interpret in a finer way data published in the literature

Quantum spin liquids (QSLs) are strongly correlated systems displaying fascinating phenomena like long-range entanglement and fractionalized excitations. The research on these states has since its beginning followed trends generated by the synthesis of new compounds and the construction of new theoretical tools. In coherence with this history, a manifold of new results about QSLs were established during the past decade due to studies on the integrable Kitaev model on the honeycomb lattice. This j = 1/2 model displays bond-dependent and anisotropic exchanges that are essential to stabilize its QSL ground state with Majorana fermion excitations and emergent Z2 gauge field. Even more interestingly, this model is relevant to understand the magnetism of a certain class of 4/5d5 Mott insulators with specific lattice constraints, t2g orbital degeneracy and strong spin-orbit coupling (SOC). This mechanism defining these so-called Kitaev materials can be applied to similar compounds based on transition metal ions in different electronic configurations. In this thesis, I investigate minimal models for two types of 4/5d1 Mott insulators: the ones on the ordered double perovskite structure (ODP) and the ones isostructural to the Kitaev materials. Their effective models generically show bond-dependent and anisotropic interactions involving multipoles of an effective j = 3/2 angular momentum. Such degrees of freedom are conveniently written in terms of pseudospin s and pseudo-orbital τ operators resembling spin and orbital operators of Kugel-Khomskii models with twofold orbital degeneracy. Despite their anisotropy, the two realistic models display continuous global symmetries in the limit of vanishing Hund\'s coupling enhancing quantum fluctuations and possibly stabilizing a QSL phase. Parton mean-field theory was used to propose fermionic QSLs that will be called quantum spin-orbital liquids (QSOLs) due their dependence with s and τ. On ODPs, I studied a chiral QSOL with Majorana fermion excitations and a gapless spectrum characterized by nodal lines along the edges of the Brillouin zone. These nodal lines are topological defects of a non-Abelian Berry connection and the system exhibits dispersing surface states. Several experimental responses of the chiral QSOL within the mean-field approximation are compared with the experimental data available for the spin liquid candidate Ba2YMoO6. Moreover, based on a symmetry analysis, I discuss the operators involved in resonant inelastic X-ray scattering (RIXS) amplitudes for 4/5d1 Mott insulators and show that the RIXS cross sections allow one to selectively probe pseudospin and pseudo-orbital degrees of freedom. For the chiral spin-orbital liquid in particular, these cross sections provide information about the spectrum for different flavors of Majorana fermions. The model for materials isostructural to the Kitaev materials has an emergent SU(4) symmetry that is made explicit by means of a Klein transformation on pseudospin degrees of freedom. The model is known to stabilize a QSOL on the honeycomb lattice and instigated the investigation of QSOLs on a generalization of this lattice to three dimensions. Parton mean-field theory was used once again to propose the liquid states, and a variational Monte Carlo (VMC) method was used to compute the energies of the projected wave functions. The numerical results show that the lowest-energy QSOL corresponds to a zero-flux state with a Fermi surface of four-color fermionic partons. Further VMC computations also revealed that this state is stable against formation of plaquette ordering (tetramerization). The energy of this QSOL is highly competitive even when Hund\'s coupling induced perturbations are included, as shown by comparison with simple ordered states. Extensions and perspectives for future work are discussed in the end of this thesis.
Líquidos de spin quânticos (QSLs) são sistemas fortemente correlacionados que apresentam fenômenos fascinantes como emaranhamento de longo alcance e excitações fracionárias. A pesquisa a respeito destes estados seguiu tendências geradas pela síntese de novos compostos e construção de novas técnicas teóricas desde seu princípio. Coerentemente com essa história, uma variedade de novos resultados a respeito de líquidos de spin foram estabelecidos na última década graças a estudos feitos sobre o modelo integrável de Kitaev na rede colmeia. Este modelo de spins j = 1/2 apresenta interações de troca anisotrópicas e direcionalmente dependentes que são essenciais para estabilizar um estado fundamental do tipo QSL com férmions de Majorana e campo de gauge Z2 emergente. Ainda mais interessante, este modelo é relevante para se entender o magnetismo de uma certa classe de isolantes de Mott baseados em metais de transição na configuração 4/5d5 em redes específicas, degenerescência orbital t2g e acoplamento spin-órbita forte (SOC). Esse mecanismo que define os chamados materiais do tipo Kitaev podem ser aplicados a compostos baseados em metais de transição em configurações eletrônicas diferentes. Nesta tese, eu investigo modelos mínimos para dois tipos de isolantes de Mott do tipo 4/5d1: os que se apresentam na estrutura perovskita dupla ordenada (ODP) e os isostruturais aos materiais do tipo Kitaev. Seus modelos efetivos genericamente apresentam interações multipolares anisotrópicas e direcionalmente dependentes de um momento angular efetivo j = 3/2. Estes graus de liberdade são convenientemente escritos em termos de operadores de pseudospin s e pseudo-orbital τ semelhantes a operadores de spin e orbital de modelos do tipo Kugel-Khomskii com orbitais duplamente degenerados. A despeito da anisotropia, esses dois modelos realísticos apresentam simetrias globais contínuas no limite de acoplamento de Hund nulo que incrementam flutuações quânticas e possivelmente estabilizam uma fase do tipo QSL. A teoria de campo médio com partons foi usada para propor QSLs fermiônicos que serão chamados de líquidos spin-orbitais quânticos (QSOLs) devido à dependência deles com s e τ. Em ODPs, eu estudei um líquido de spin quiral com excitações do tipo férmion de Majorana e um espectro sem gap caracterizado por linhas nodais ao longo das arestas da zona de Brillouin. Essas linhas nodais são defeitos topológicos de uma conexão de Berry não-abeliana e o sistema apresenta estados de superfície dispersivos. Várias respostas experimentais foram calculadas para o QSOL quiral dentro da aproximação de campo médio e comparadas com os dados experimentais disponíveis para o candidato a líquido de spin Ba2YMoO6. Além disso, baseado em uma análise de simetria, discuto os operadores envolvidos nas amplitudes de espalhamento de raios-x ressonante para isolantes de Mott na configuração 4/5d1 e mostro que seções de choque de RIXS permitem estudar seletivamente os graus de liberdade de pseudospins e pseudo-orbitais. Para o caso particular do líquido spin-orbital quiral, essas seções de choque nos fornecem informações sobre o espectro de diferentes sabores de férmions de Majorana. Esse modelo possui uma simetria SU(4) emergente que é tornada explícita através de uma transformações de Klein nos graus de liberdade de pseudospin. Sabe-se que este modelo estabiliza um QSOL na rede colmeia, o que instigou uma investigação de QSOLs na generalização desta rede em três dimensões. A teoria de campo médio com partons foi usada novamente para propor estes líquidos quânticos, e o método de Monte Carlo Variacional (VMC) foi usado para calcular as energias das funções de onda projetadas. Os resultados numéricos mostraram que o QSOL de menor energia corresponde a um estado de fluxo-zero com superfície de Fermi envolvendo partons fermiônicos de quatro cores. Cálculos adicionais com VMC também demonstraram que este estado é estável à formação de ordem de plaquetas (tetramerização). A energia deste QSOL é altamente competitiva mesmo quando perturbações induzidas pelo acoplamento de Hund são incluídas, o que é mostrado através da comparação com estados ordenados simples. Extensões e perspectivas para trabalhos futuros são discutidas no final desta tese.

碩士
國立交通大學
物理研究所
106
In spite of intensive studies by experimentalist and theorist on high temperature superconducting cuprates (HTSC) over the past decades by experimentalists and theorists, a full understanding of HTSC theories still not available. The information of unoccupied and occupied electronic structures can be inferred from X-ray absorption and photoelectron spectroscopy respectively. However, there remains debates on the details of relevant energetic scales for describe the cuprate physics. Resonant inelastic X-ray scattering is a technique that involves absorption and emission process, and under resonant condition, specific intermediate states can be accessed, which provides electronic structure information unavailable from aforementioned methods. In 1993, Tanaka and Kotani [1] pointed out that in La2CuO4 and CuO2 the direct inter-d-orbital transitions are not allowed because of the diploe transition rule until in 2005that G. Ghiringhelli et al. successfully measured the Cu-L3 edge spectrum of La2-xSrxCuO4 and found its excitation behavior at different doping levels with resonance inelastic X-ray scattering(RIXS) technique. However, due to strong spectral weight transfer from higher energy loss and the leak of superior energy resolution, they could not better resolve d-d excitations.[2] In this thesis, Resonance Inelastic X-ray Scattering (RIXS) experiments were carried out using the beam line 4.0.3 (MERLIN) at Advanced Light Source, Lawrence Berkeley National Laboratory, to investigate the low energy excitations of high temperature superconductors thin films. The thin films were fabricated by Pulse Laser Deposition (PLD) system. The Sr concentrations of La2-xSrxCuO4 were controlled by the targets made by solid state reaction method. The oxygen doping of YBa2Cu3O7-δ were controlled by post-annealing in a heat treatment system. By using the superior VUV (Vacuum ultraviolet) spectrometer at MERLIN beamline, at Cu M-edge, we have observed the low energy excitations and explored the mechanism in details. Incident photon energy dependent spectra from samples with different hole doping levels have also been recorded. The results show that the low excitations are differences in different doping levels.

I have shown that in the fast collision approximation, the scattering operator for resonant x-ray scattering can be expressed in terms of simple spin-orbital moment operators M$\sp{(k)}$(l,s) of the valence shell involved in the resonance. Using these operators, one not only can determine the thermal expectation values of the various spin-orbit multipole moments in the valence shell through the coherent elastic scattering and absorption, but also can obtain the moment-moment correlation functions (Van Hove scattering function S(q,$\omega$)) among the various atoms of the scattering sample from the coherent elastic and inelastic scattering. We have applied the effective scattering operators to the x-ray magnetic scattering in ${La\sb{2-x}Sr\sb{x}CuO\sb4}$ high temperature superconductors, and obtained the relations between the scattering cross-section and the Van Hove scattering function, and the instantaneous correlation function of the spins in these materials. This theory is applicable to the analysis of a broad range of resonant x-ray elastic and inelastic scattering and absorption experiments involving rare earth, actinide and transition elements.

碩士
國立交通大學
加速器光源科技與應用碩士學位學程
100
The electronic structure of strongly correlated electronic systems is an important subject in condensed matter physics. The properties of solids are related to the electronic states of outer electrons, the valence electron states. Resonant inelastic X-ray scattering (RIXS) is a powerful tool to study the electron excitations in solids. From the excitation and de-excitation processes, the electronic structure can be further revealed. We here investigated the magnetic properties of magnetite (Fe3O4) by measuring and calculating the 1s2p RIXS spectra. We also recorded the signal of magnetic circular dichroism by measuring the 1s2p RIXS. The mixed valence and multisite of [Fe3]tetra[Fe2Fe3]octaO4 are recognized in the RIXS-MCD spectra. The RIXS-MCD spectra obtained with opposite helicities of circularly polarized incident x-rays are consistent with the simulations by the charge transfer multiplet model.

Excitations of the valence electrons in the high-temperature superconducting cuprate La2−xSrxCuO4 were measured by Resonant Inelastic X-ray Scattering (RIXS). Several types of electronic excitations resonant at the Cu 1s →4p transition were studied over a wide range of dopings 0