Photoemission electron microscopy (PEEM) uses photoelectrons excited from material surfaces by incident photons to probe the interaction of light with surfaces with nanometer-scale resolution. The point resolution of PEEM images is strongly limited by spherical and chromatic aberration. Image aberrations primarily originate from the acceleration of photoelectrons and imaging with the objective lens and vary strongly in magnitude with specimen emission characteristics. Spherical and chromatic aberration can be corrected with an electrostatic mirror, and here I develop a triode mirror with hyperbolic geometry that has two adjacent, field-adjustable regions. I present analytic and numerical models of the mirror and show that the optical properties agree to within a few percent. When this mirror is coupled with an electron lens, it can provide a large dynamic range of correction and the coefficients of spherical and chromatic aberration can be varied independently. I report on efforts to realize a triode mirror corrector, including design, characterization, and alignment in our microscope at Portland State University (PSU). PEEM may be used to investigate optically active nanostructures, and we show that photoelectron emission yields can be identified with diffraction, surface plasmons, and dielectric waveguiding. Furthermore, we find that photoelectron micrographs of nanostructured metal and dielectric structures correlate with electromagnetic field calculations. We conclude that photoemission is highly spatially sensitive to the electromagnetic field intensity, allowing the direct visualization of the interaction of light with material surfaces at nanometer scales and over a wide range of incident light frequencies.

We use a combination of Density Functional Theory and Dynamical Mean Field Theory (DFT+DMFT) to study electronic correlations in unconventional superconductors, with a focus on nickelate analogs of cuprate superconductors. We study the infinite layer nickelate superconductor NdNiO₂ in parallel with the isostructural CaCuO₂. Our results point to superconductivity in the nickelate being cupratelike, with correlations dominated by a hybrid Ni-𝑑_{𝑥²-𝑦²} and O-𝑝 band, and with the extra bands not contributing substantially to the superconducting state. We find that the infinite layer nickelate NdNiO₂ and the trilayer nickelate Pr₄Ni₃O₈ are virtually identical in terms of correlation physics when compared at the same chemical doping, despite the differences in Fermiology, indicating that the number of layers can stand in for chemical doping for some properties related to electronic correlations. We find that as opposed to in narrow window DFT+DMFT, in wide window DFT+DMFT the choice of downfolding procedure leads to very different results. This is an important ambiguity in the method that must be resolved or the method is incomplete by itself. We also study Sr₂MoO₄ in parallel with the Hund's superconductor Sr₂RuO₄, and find that Sr₂MoO₄ is a particle-hole dual of Sr₂RuO₄ but without the van Hove singularity at the Fermi level, which disentangles the influence of the van Hove singularity from Hund's physics. We show that Sr₂MoO₄ has a characteristic Hund's peak on the occupied of the spectral function, indicating that the peak should be observable by photoemission experiments.

No description available.

Calcula-se o espectro de foto emissão (XPS) no modelo de Anderson com degenerescência de spin. Baseado na técnica do grupo de renormalização, introduzindo originalmente por Wilson para calcular a suscetibilidade magnética do modelo de Kondo, o cálculo numérico tem precisão uniforme sobre todo o espaço paramétrico do modelo de Anderson; para qualquer energia foto eletrônica estima-se um erro máximo de 4% para a corrente de foto emissão calculada. O espectro calculado apresenta dois picos, associados com as duas possíveis transições induzidas pelo raios-X entre as ocupações do orbital <nf>= 0,1 ou 2: um primeiro pico de ionização correspondente à transição nf=2 &#8594 nf=1 e um segundo pico de ionização correspondente à transição nf=1 &#8594 nf=0. Para o caso em que a configuração nf=2 do orbital f tem a mais baixa energia, o primeiro pico é dominante. A medida que a energia da configuração duplamente ocupada cresce em relação à da configuração nf=1 (de maneira que o valor de nf no estafo fundamental diminui) o segundo pico de ionização cresce em relação ao primeiro. Finalmente quando nf 1 no estado fundamental, o segundo pico praticamente domina toda a intensidade espectral integrada; nesse caso (1) o primeiro pico torna-se estreito (com largura da ordem da temperatura de Kondo) centrado no nível de Fermi e (2) próximo ao nível de Fermi a corrente de foto emissão é representada por uma função universal da energia foto eletrônica escalada pela temperatura de Kondo. / X-ray photoemission spectra (XPS) are calculated for the spin-degenerate Anderson modelo f Valence fluctuation compounds. Based on the renormalization group technique originally introduced by Wilson to calculate the magnetic susceptibility for the Kondo model, the numerical calculation has uniform accurancy over the entire parameter space of the Anderson model; at any given photo-electron energy, a maximum error of 4% is estimated for the calculated photoemission current. The calculated spectra display two peaks associated with the two possible x-ray induced transitions between the nf= 0,1 or 2 occupations of the f-orbital: a first ionization peak corresponding to the nf=2 &#8594 nf=1 transition and a second ionization peak due to the nf=1 &#8594 nf=0 transition. For the case in which the nf=2 configuration of the f-orbital has the lowest energy, the former peak is dominant. As the energy of the doubly occupied configuration increases relative to the nf=1 configuration, (so that decreases in the ground state) the second ionization peak grows relative to the first one. Finally, as &#8594 1 in the ground state the second ionization peak covers mosto f the integrated spectral density; in this case (1) the first ionization peak becomes a Spike (width of the order of the Kondo temperature) centered at the Fermi level and (2) in the vicinity of the Fermi level the photoemission current is described by a universal function of the photoelectron energy scaled by the Kondo temperature.

La motivation principale de cette thèse a été de déterminer les avantages et les inconvénients de l'utilisation de la spectroscopie de photoémission résolue en angle dans le domaine des rayons X mous.<br />L'étude d'un système bien connu, Ag(001) nous permet de discuter plusieurs questions telles que le rôle de la quantité de mouvement du photon, la pertinence de l'approximation d'électron libre à l'état final, et le rôle des phonons. La polarisation de la lumière incidente a aussi été exploitée. En choisissant un tel système, nous avons aussi voulu comparer les résultats expérimentaux avec des spectres calculés de photoémission résolue en angle dans cette gamme d'énergie.<br />Le comportement à basse température atypique des composés de Cérium est généralement imputé à l'effet Kondo. Des résultats originaux ont été obtenus en étudiant la bande de valence de trois composés monocristallins iso-structuraux de Cérium, CeCu2Ge2, CeNi2Ge2 et CeCo2Ge2. La position du seuil d'absorption M5 du Cérium dans la bande d'énergie des rayons X mous est exploitée pour isoler la contribution 4f à ces spectres. De plus, l'utilisation de photons incidents d'énergie relativement élevée permet de minimiser les effets de surface. Les spectres de photoémission présentés dans cette thèse incluent des études de dépendance en température, des spectres à la résonance, des spectres résolus en angle ou bien intégrés angulairement. Les premiers sont en accord avec le modèle d'impureté unique d'Anderson, alors que les derniers suggèrent qu'il est important de prendre en compte le réseau cristallin.

Single-wall carbon nanotubes (SWCNTs) are a fascinating material because they exhibit many outstanding properties. Due to their unique geometric structure, they are a paradigm for one-dimensional systems. Furthermore, depending on their chirality, they can be either metallic or semiconducting. The SWCNT are arranged in bundles of some ten nanotubes with a random distribution of semiconducting and metallic tubes. They are thus one-dimensional objects embedded in a three-dimensional arrangement, the bundles. In this thesis, the metallic ground state of one-dimensional (1D) and three-dimensional (3D) systems is investigated on the basis of SWCNTs, using angle-integrated photoemission spectroscopy. In particular, a transition from a 1D to a 3D metallic system, induced by a charge transfer, is studied on SWCNTs and C60 peapods. In general, the metallic ground state of materials is greatly influenced by correlation effects. In classical three-dimensional metals, electron-electron interaction mainly leads to a renormalization of the charge carrier properties (e.g. effective mass), as described in Landau's Fermi liquid theory. One-dimensional metals are influenced to a greater extent by interactions. In fact, the Landau-quasiparticle picture breaks down due to the Peierls instability. Instead, one-dimensional metals are described by Tomonaga-Luttinger liquid (TLL) theory which predicts unusual properties such as spin-charge separation and non-universal power laws in some physical properties such as the electronic density of states (DOS). Angle-integrated photoemission spectroscopy provides direct access to the DOS and as such directly addresses the power law renormalization of a TLL. It is first shown, that the bundles of single-wall carbon nanotubes indeed exhibit a power law scaling of the electronic density of states is observed as it is expected from TLL theory. The main part of the thesis is devoted to the investigation of the metallic ground state of SWCNTs upon functionalization. In general, functionalization is a controlled modification of the structural and/or electronic properties of SWCNT. It can be carried out e.g. by doping with electron donors or acceptors, by filling the nanospace inside the tubes with molecules or by substituting carbon atoms. First, the behavior of the SWCNT upon chemical doping was probed. The overall modification of the electronic band structure can be explained well by a rigid band shift model. The one-dimensional character of the metallic tubes in the bundle is retained at low doping, but when the semiconducting tubes in the sample are also rendered metallic by the charge transfer, a Fermi edge emerges out of the power law renormalization of the spectral weight, signifying a transition to a three-dimensional metallic behavior. This can be explained by an increased interaction between the tubes in the bundle. A crossover from a Tomonaga-Luttinger liquid to a Fermi liquid is observed. The filling of SWCNTs with C60 molecules leads to the formation of so-called peapods. It raises questions concerning the role of the additional bands originating from the C60 filling in the one-dimensional system. In the pristine state, the states of the C60 filling were found to have no influence on the metallic ground state. The TLL power law scaling of the density of states is observed. The overall interaction between the SWCNT host and the C60 filling is small. Upon doping however, the modified band structure leads to a qualitative change in the crossover from a TLL to a Fermi liquid. Upon doping, also states in the conduction band of the C60 are filled. The evolution of the power law scaling at intermediate doping can be interpreted as an opening of an additional conduction channel of one-dimensional metallic chains of C60 inside the tubes. This is in good agreement with transport experiments. Upon further doping, a Fermi edge similar to the highly doped SWCNTs is observed.

Calcula-se o espectro de foto emissão (XPS) no modelo de Anderson com degenerescência de spin. Baseado na técnica do grupo de renormalização, introduzindo originalmente por Wilson para calcular a suscetibilidade magnética do modelo de Kondo, o cálculo numérico tem precisão uniforme sobre todo o espaço paramétrico do modelo de Anderson; para qualquer energia foto eletrônica estima-se um erro máximo de 4% para a corrente de foto emissão calculada. O espectro calculado apresenta dois picos, associados com as duas possíveis transições induzidas pelo raios-X entre as ocupações do orbital <nf>= 0,1 ou 2: um primeiro pico de ionização correspondente à transição nf=2 &#8594 nf=1 e um segundo pico de ionização correspondente à transição nf=1 &#8594 nf=0. Para o caso em que a configuração nf=2 do orbital f tem a mais baixa energia, o primeiro pico é dominante. A medida que a energia da configuração duplamente ocupada cresce em relação à da configuração nf=1 (de maneira que o valor de nf no estafo fundamental diminui) o segundo pico de ionização cresce em relação ao primeiro. Finalmente quando nf 1 no estado fundamental, o segundo pico praticamente domina toda a intensidade espectral integrada; nesse caso (1) o primeiro pico torna-se estreito (com largura da ordem da temperatura de Kondo) centrado no nível de Fermi e (2) próximo ao nível de Fermi a corrente de foto emissão é representada por uma função universal da energia foto eletrônica escalada pela temperatura de Kondo. / X-ray photoemission spectra (XPS) are calculated for the spin-degenerate Anderson modelo f Valence fluctuation compounds. Based on the renormalization group technique originally introduced by Wilson to calculate the magnetic susceptibility for the Kondo model, the numerical calculation has uniform accurancy over the entire parameter space of the Anderson model; at any given photo-electron energy, a maximum error of 4% is estimated for the calculated photoemission current. The calculated spectra display two peaks associated with the two possible x-ray induced transitions between the nf= 0,1 or 2 occupations of the f-orbital: a first ionization peak corresponding to the nf=2 &#8594 nf=1 transition and a second ionization peak due to the nf=1 &#8594 nf=0 transition. For the case in which the nf=2 configuration of the f-orbital has the lowest energy, the former peak is dominant. As the energy of the doubly occupied configuration increases relative to the nf=1 configuration, (so that decreases in the ground state) the second ionization peak grows relative to the first one. Finally, as &#8594 1 in the ground state the second ionization peak covers mosto f the integrated spectral density; in this case (1) the first ionization peak becomes a Spike (width of the order of the Kondo temperature) centered at the Fermi level and (2) in the vicinity of the Fermi level the photoemission current is described by a universal function of the photoelectron energy scaled by the Kondo temperature.

The electron emission characteristics of aluminum, molybdenum and carbon nanotubes were studied. The experiments were setup to study the emission behavior as a function of temperature and exposure to oxygen. Changes in the surface work function as a result of thermal annealing were monitored with low energy ultra-violet photoelectron spectroscopy for flat samples while field emission energy distributions were used on tip samples. The change in the field emission from fabricated single tips exposed to oxygen while in operation was measured using simultaneous Fowler-Nordheim plots and electron energy distributions. From the results a mechanism for the degradation in the emission was concluded. Thermal experiments on molybdenum and aluminum showed that these two materials can be reduced at elevated temperatures, while carbon nanotubes on the other hand show effects of oxidation. To purely reduce molybdenum a temperature in excess of 750 ºC is required. This temperature exceeds that allowed by current display device technology. Aluminum on the other hand shows reduction at a much lower temperature of at least 125 ºC; however, its extreme reactivity towards oxygen containing species produces re-oxidation. It is believed that this reduction is due to the outward diffusion of aluminum atoms through the oxide. Carbon nanotubes on the other hand show signs of oxidation as they are heated above 700 ºC. In this case the elevated temperatures cause the opening of the end caps allowing the uptake of water. Oxygen exposure experiments indicate that degradation in field emission is two-fold and is ultimately dependent on the emission current at which the tip is operated. At low emission currents the degradation is exclusively due to oxidation. At high emission currents ion bombardment results in the degradation of the emitter. In between the two extremes, molybdenum tips are capable of stable emission.

Single-wall carbon nanotubes (SWCNTs) are a fascinating material because they exhibit many outstanding properties. Due to their unique geometric structure, they are a paradigm for one-dimensional systems. Furthermore, depending on their chirality, they can be either metallic or semiconducting. The SWCNT are arranged in bundles of some ten nanotubes with a random distribution of semiconducting and metallic tubes. They are thus one-dimensional objects embedded in a three-dimensional arrangement, the bundles. In this thesis, the metallic ground state of one-dimensional (1D) and three-dimensional (3D) systems is investigated on the basis of SWCNTs, using angle-integrated photoemission spectroscopy. In particular, a transition from a 1D to a 3D metallic system, induced by a charge transfer, is studied on SWCNTs and C60 peapods. In general, the metallic ground state of materials is greatly influenced by correlation effects. In classical three-dimensional metals, electron-electron interaction mainly leads to a renormalization of the charge carrier properties (e.g. effective mass), as described in Landau's Fermi liquid theory. One-dimensional metals are influenced to a greater extent by interactions. In fact, the Landau-quasiparticle picture breaks down due to the Peierls instability. Instead, one-dimensional metals are described by Tomonaga-Luttinger liquid (TLL) theory which predicts unusual properties such as spin-charge separation and non-universal power laws in some physical properties such as the electronic density of states (DOS). Angle-integrated photoemission spectroscopy provides direct access to the DOS and as such directly addresses the power law renormalization of a TLL. It is first shown, that the bundles of single-wall carbon nanotubes indeed exhibit a power law scaling of the electronic density of states is observed as it is expected from TLL theory. The main part of the thesis is devoted to the investigation of the metallic ground state of SWCNTs upon functionalization. In general, functionalization is a controlled modification of the structural and/or electronic properties of SWCNT. It can be carried out e.g. by doping with electron donors or acceptors, by filling the nanospace inside the tubes with molecules or by substituting carbon atoms. First, the behavior of the SWCNT upon chemical doping was probed. The overall modification of the electronic band structure can be explained well by a rigid band shift model. The one-dimensional character of the metallic tubes in the bundle is retained at low doping, but when the semiconducting tubes in the sample are also rendered metallic by the charge transfer, a Fermi edge emerges out of the power law renormalization of the spectral weight, signifying a transition to a three-dimensional metallic behavior. This can be explained by an increased interaction between the tubes in the bundle. A crossover from a Tomonaga-Luttinger liquid to a Fermi liquid is observed. The filling of SWCNTs with C60 molecules leads to the formation of so-called peapods. It raises questions concerning the role of the additional bands originating from the C60 filling in the one-dimensional system. In the pristine state, the states of the C60 filling were found to have no influence on the metallic ground state. The TLL power law scaling of the density of states is observed. The overall interaction between the SWCNT host and the C60 filling is small. Upon doping however, the modified band structure leads to a qualitative change in the crossover from a TLL to a Fermi liquid. Upon doping, also states in the conduction band of the C60 are filled. The evolution of the power law scaling at intermediate doping can be interpreted as an opening of an additional conduction channel of one-dimensional metallic chains of C60 inside the tubes. This is in good agreement with transport experiments. Upon further doping, a Fermi edge similar to the highly doped SWCNTs is observed.

Seltenerd-Eisenpniktide ziehen gegenwärtig großes wissenschaftliches Interesse auf sich, da sie wegen der bei ihnen beobachteten Hochtemperatursupraleitung eine vielversprechende Alternative zu den herkömmlichen Kuprat-Supraleitern darstellen. Neben der Supraleitung weisen diese Systeme ein breites Spektrum magnetischer Eigenschaften auf, die auf dem Wechselspiel von Eisen 3d- und Seltenerd-4f-Elektronen beruhen und teils in Konkurrenz zu, teils aber auch in Koexistenz mit der Supraleitung auftreten. Das theoretische Verständnis dieser Phänomene lässt noch viele Fragen offen, da sich vor allem die 4f-Elektronen infolge ihrer starken räumlichen Lokalisierung und der damit verbundenen hohen Coulomb-Korrelationsenergien einer einfachen Behandlung im Rahmen von Bandstrukturtheorien weitgehend entziehen. Die vorliegende Arbeit beschäftigt sich mit winkelaufgelösten Photoemissionsuntersuchungen an CeFe2P2, CeFePO und CeFeP0.3As0.7O, bei denen Schwer-Fermionen-Verhalten bzw. Ferromagnetismus beobachtet werden kann. Die Wechselwirkung der 4f-Elektronen mit dem überwiegend von Fe 3d-Orbitalen abgeleiteten Valenzband spiegelt sich in den Spektren durch das Auftreten dispergierender Strukturen im Bereich der Kondoresonanz wider. Diese werden in der Arbeit auf der Grundlage von LDA-Bandstrukturrechnungen und dem Periodischen Andersonmodell, welches für einfache Fallbeispiele mittels der DMFT (Dynamical Mean Field Theory) gelöst wird, diskutiert. Anhand der experimentellen Beobachtungen wird ein Mechanismus für die in der Verbindungsklasse beobachteten magnetischen Übergänge, basierend auf charakteristischen Unterschieden in der Bandstruktur, vorgeschlagen sowie ein möglicher Zusammenhang mit der Supraleitung diskutiert.