@phdthesis{Scheibner2007,
  author    = {Scheibner, Ralf},
  title     = {Thermoelectric Properties of Few-Electron Quantum Dots},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-26699},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2007},
  abstract  = {This thesis presents an experimental study of the thermoelectrical properties of semiconductor quantum dots (QD). The measurements give information about the interplay between first order tunneling and macroscopic quantum tunneling transport effects in the presence of thermal gradients by the direct comparison of the thermoelectric response and the energy spectrum of the QD. The aim of the thesis is to contribute to the understanding of the charge and spin transport in few-electron quantum dots with respect to potential applications in future quantum computing devices. It also gives new insight into the field of low temperature thermoelectricity. The investigated QDs were defined electrostatically in a two dimensional electron gas (2DEG) formed with a GaAs/(Al,Ga)As heterostructure by means of metallic gate electrodes on top of the heterostructure. Negative voltages with respect to the potential of the 2DEG applied to the gate electrodes were used to deplete the electron gas below them and to form an isolated island of electron gas in the 2DEG which contains a few ten electrons. This QD was electrically connected to the 2DEG via two tunneling barriers. A special electron heating technique was used to create a temperature difference between the two connecting reservoirs across the QD. The resulting thermoelectric voltage was used to study the charge and spin transport processes with respect to the discrete energy spectrum and the magnetic properties of the QD. Such a two dimensional island usually exhibits a discrete energy spectrum, which is comparable to that of atoms. At temperatures below a few degrees Kelvin, the electrostatic charging energy of the QDs exceeds the thermal activation energy of the electrons in the leads, and the transport of electrons through the QD is dominated by electron-electron interaction effects. The measurements clarify the overall line shape of thermopower oscillations and the observed fine structure as well as additional spin effects in the thermoelectrical transport. The observations demonstrate that it is possible to control and optimize the strength and direction of the electronic heat flow on the scale of a single impurity and create spin-correlated thermoelectric transport in nanostructures, where the experimenter has a close control of the exact transport conditions. The results support the assumption that the performance of thermoelectric devices can be enhanced by the adjustment of the QD energy levels and by exploiting the properties of the spin-correlated charge transport via localized, spin-degenerate impurity states. Within this context, spin entropy has been identified as a driving force for the thermoelectric transport in the spin-correlated transport regime in addition to the kinetic contributions. Fundamental considerations, which are based on simple model assumptions, suggest that spin entropy plays an important role in the presence of charge valence fluctuations in the QD. The presented model gives an adequate starting point for future quantitative analysis of the thermoelectricity in the spin-correlated transport regime. These future studies might cover the physics in the limit of single electron QDs or the physics of more complex structures such as QD molecules as well as QD chains. In particular, it should be noted that the experimental investigations of the thermopower of few-electron QDs address questions concerning the entropy transport and entropy production with respect to single-bit information processing operations. These questions are of fundamental physical interest due to their close connection to the problem of minimal energy requirements in communication, and thus ultimately to the so called "Maxwell's demon" with respect to the second law of thermodynamics.},
  subject      = {Quantenpunkt},
  language  = {en}
}
@phdthesis{Klein2009,
  author    = {Klein, Markus},
  title     = {Starke Korrelationen in Festk{\"o}rpern : von lokalisierten zu itineranten Elektronen},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-36459},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2009},
  abstract  = {In dieser Arbeit wurden mittels winkelaufgel{\"o}ster Photoemission verschiedene Verbindungen mit stark korrelierten Elektronen untersucht. Es wurde gezeigt, dass diese Technik einen direkten Zugang zu den niederenergetischen Wechselwirkungen bietet und dadurch wichtige Informationen {\"u}ber die Vielteilchenphysik dieser Systeme liefert. Die direkte Beobachtung der scharfen Quasiteilchenstrukturen in der N{\"a}he der Fermikante erm{\"o}glichte insbesondere die genaue Betrachtung der folgenden Punkte: 1. Quantenphasen{\"u}bergang: analog zu [27] wurde gezeigt, dass die hochaufgel{\"o}ste PES Zugriff auf die lokale Energieskala TK bietet. Außerdem konnte im Rahmen eines st{\"o}rungstheoretischen Modells allgemein gezeigt werden, wie sich kleine RKKY-St{\"o}rungen auf TK auswirken. Aus der experimentellen Entwicklung von TK(x) in CeCu6-xAux lassen sich mit Hilfe dieses Modells R{\"u}ckschl{\"u}sse auf den Quantenphasen{\"u}bergang bei T = 0 ziehen. 2. Kondogitter: mit Hilfe einer geordneten CePt5/Pt(111)-Oberfl{\"a}chenlegierung wurde demonstriert, dass mit ARPES Kondogittereffekte beobachtet werden k{\"o}nnen. Dazu z{\"a}hlen die Beobachtung von Hybridisierungsbandl{\"u}cken und der starken Renormierung der Bandmassen in der N{\"a}he von EF. Diese Effekte lassen sich, mit Hilfe unterschiedlicher Anregungsenergien und Messungen an einer isostrukturellen LaPt5-Schicht, eindeutig dem Resultat einer d f -Mischung der elektronischen Zust{\"a}nde zuweisen. Anhand von temperaturabh{\"a}ngigenMessungen konnte erstmals der {\"U}bergang von lokalisierten zu koh{\"a}renten Quasiteilchen in einem Kondosystem mittels ARPES beobachtet werden. 3. Phasen{\"u}berg{\"a}nge: bei FeSi und URu2Si2 wurde jeweils gezeigt, dass die ARPES sensitiv f{\"u}r kleinste {\"A}nderungen der elektronischen Struktur in unmittelbarer Umgebung der Fermienergie ist. Es konnten charakteristische Energien und Temperaturen, sowie am Phasen{\"u}bergang beteiligte B{\"a}nder und deren effektive Massen m* quantifiziert werden. Insbesondere wurde gezeigt, dass Heavy-Fermion-B{\"a}nder mit m* = 40 me eine wichtige Rolle beim Hidden-order-Phasen{\"u}bergang in URu2Si2 spielen. 4. Oberfl{\"a}cheneffekte: f{\"u}r alle Proben, außer CeCu6-xAux, musste festgestellt werden, dass Oberfl{\"a}chenzust{\"a}nde betr{\"a}chtliche Anteile am Spektrum besitzen k{\"o}nnen. Daher ist bei jedem Material gr{\"o}ßte Vorsicht bei der Pr{\"a}paration der Oberfl{\"a}che und der Interpretation der Spektren angebracht. Als eine geeignete Methode um Oberfl{\"a}chen und Volumenanteile auseinander zu halten, stellten sich anregungsenergieabh{\"a}ngige Messungen heraus. 5. theoretische Modelle: trotz der Bezeichnung "stark korrelierte Systeme", unterscheiden sich die untersuchten Verbindungen bez{\"u}glich ihrer theoretischen Beschreibung: die Physik der Cersysteme (CeCu6, CePt5/Pt(111)) ist bei T > TK durch lokale St{\"o}rstellen bestimmt und lassen sich somit im Rahmen des SIAM beschreiben. Bei tieferen Temperaturen T < TK treten jedoch Anzeichen von beginnender Koh{\"a}renz auf und geben somit den {\"U}bergang zum PAM wieder. Schwere, dispergierenden B{\"a}nder in URu2Si2 und FeSi zeigen, dass beide Systeme nur mit Hilfe eines geordneten Gitters beschreibbar sind. Insbesondere stellt sich f{\"u}r FeSi heraus, dass eine Erkl{\"a}rung im Kondoisolator-Bild falsch ist und ein Hubbard-Modell-Ansatz angebrachter scheint.},
  subject      = {Kondo-Effekt},
  language  = {de}
}
@phdthesis{Thierschmann2014,
  author    = {Thierschmann, Holger},
  title     = {Heat Conversion in Quantum Dot Systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-133348},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2014},
  abstract  = {This thesis treats the thermopower and other thermal effects in single quantum dots (QD) and quantum dot systems. It contributes new experimental results to the broad and active field of research on thermoelectrics in low dimensional systems. The thermopower experiments discussed in this work focus on QDs which exhibit a net spin and on tunnel-coupled double QDs (DQD). Furthermore, experiments are presented which address the realization of a QD device which extracts thermal energy from a heat reservoir and converts it into a directed charge current in a novel way. The samples used for these investigations have been fabricated from GaAs/AlGaAs heterostructures which contain a two dimensional electron gas. Using optical and electron beam lithography, the devices have been realized by means of the top-gate technology. All experiments have been performed at low temperature. In order to create a controllable temperature difference in the samples the current heating technique has been used. These experimental basics as well as fundamentals of electric and thermoelectric transport are introduced in Part I of this thesis. The experiments on the thermopower of a single QD are described in Part II. Essentially, they deal with the problem of how a single spin situated on a QD influences the thermoelectric properties of the system. In this context, the Kondo-effect plays a crucial role. Generally, the Kondo effect is the result of a many-body state which arises from an antiferromagnetic coupling of a magnetic impurity with the surrounding conduction electrons. Here, the magnetic impurity is represented by a QD which is occupied with an odd number of electrons so that it exhibits a net spin. For the first time the thermopower of a Kondo-QD has been studied systematically as a function of two parameters, namely the QD coupling energy and the sample temperature. Both parameters are crucial quantities for Kondo-physics to be observed. Based on these data, it is shown that the thermopower line shape as a function of QD energy is mainly determined by two competing contributions: On the one hand by the enhanced density of states around the Fermi level due to Kondo-correlations and on the other hand by thermopower contributions from the Coulomb resonances. Furthermore, the experiments confirm theoretical predictions which claim that the spectral DOS arising from Kondo-correlations shifts away from the Fermi level for those QD level configurations which are not electron-hole symmetric. Comparison with model calculations by T. Costi and V. Zlatic [Phys. Rev. B 81, 235127 (2010)] shows qualitative and partly even quantitative agreement. A finite thermovoltage at the center of the Kondo-region, which occurred in previous investigations, is also observed in the experiments presented here. It is not covered by the current theory of the Kondo effect. The dependence of this signal on temperature, coupling energy and magnetic field, which differ from non-Kondo regions, is analyzed. In order to clarify the physics behind this phenomenon further studies are desirable. Furthermore, it is shown by variation of the QD coupling energy over a wide range that Kondo-correlations can be detected in the thermopower even in the regime of very weak coupling. In contrast, no Kondo signatures are visible in the conductance in this energy range. It is found that in the limit of weak coupling the Kondo effect causes the thermopower to exhibit a diminished amplitude in close vicinity of a conductance resonance. Subsequent filling of spin-degenerate states then leads to a thermopower amplitude modulation (odd-even-effect). Although this effect had been observed in previous studies, no connection to Kondo physics had been established in order to explain the observations. Hence, the experiments on a single QD presented in this thesis provide unique insight into the complex interplay of different transport mechanisms in a spin-correlated QD. Moreover, the results confirm the potential of thermopower measurements as a highly sensitive tool to probe Kondo-correlations. In Part III thermal effects are investigated in systems which contain two coupled QDs. Such QD-systems are particularly interesting with respect to thermoelectric applications: Many proposals utilize the extremely sharp energy filtering properties of such coupled QDs and also different kinds of inter dot coupling to construct novel and highly efficient thermoelectric devices. In the present work, thermopower characterizations are performed on a tunnel-coupled DQD for the first time. The key result of these investigations is the thermopower stability diagram. Here it is found, that in such a system maximal thermopower is generated in the vicinity of the so-called triple points (TP) at which three charge states of the DQD are degenerate. Along the axis of total energy, which connects two adjacent TP, a typical thermopower line shape is observed. It is explained and modeled within an intuitive picture that assumes two transport channels across the DQD, representing the TP. For those regions which are far away from the TP, the thermopower turns out to be very sensitive to the relative configuration of the QD energies. The conductance and thermopower data are well reproduced within a model that assumes transport via molecular states. Integration of both models into one then allows model calculations for a complete stability cell in conductance and thermopower to be done. Furthermore, experiments on two capacitively coupled QDs are presented. In these studies the focus lies on testing the feasibility of such systems for the manipulation and generation of charge currents from thermal energy. In a series of experiments it is shown that such a system of QDs can be utilized to increase or decrease a current flowing between two electron reservoirs by varying the temperature in a third reservoir. This effect is based on the cross-correlation of occupation fluctuations of the individual QDs. These are positive for certain QD energy level configurations and negative for others, which increases or decreases the charge current in the experiments, respectively. In the stability diagram this is manifested in a characteristic clover leaf shaped structure of positive and negative current changes in vicinity of the TP. All main experimental results are reproduced qualitatively in simple model calculations. Due to the close analogy between electrical and thermal conductance of a QD, this effect of thermal switching can, in principle, also be used to built a thermal transistor. Finally, it is shown that a system consisting of two Coulomb-coupled QDs, which couple a hot electron reservoir electrostatically to two cold electron reservoirs, can be utilized as a novel device which extracts heat from its environment and converts it into a directed charge current. The idea of this heat-to-current converter (HCC) was first proposed by R. S{\´a}nchez and M. B{\"u}ttiker [Phys. Rev. B 83, 085428 (2011)]. It is not only characterized by the novelty of its working principle but also by the fact, that it decouples the directions of charge current and energy flow. In the experiments presented here, such HCC-currents are identified unambiguously: For certain QD-level configurations an electric current between the two cold reservoirs is observed if the temperature in the third reservoir is increased. The direction of this current is shown to be independent of an external voltage. In contrast, the direction of the current exhibits a characteristic dependence on the tunneling coefficients of the QDs, as predicted by theory: By adjusting the thickness and the shape of the respective tunnel junctions, a charge current can be generated between two cold reservoirs, and it can even be inverted. The experimental observations are quantitatively reproduced by model calculations by R. S{\´a}nchez and B. Sothmann. Thus, the results represent direct evidence for the existence of HCC-currents. Due to the novelty of the working principle of the HCC and its relevance from a fundamental scientific point of view, the results presented here are an important step towards energy harvesting devices at the nano scale.},
  subject      = {Quantenpunkt},
  language  = {en}
}
@phdthesis{Kuegel2015,
  author    = {K{\"u}gel, Jens},
  title     = {3d-{\"U}bergangsmetallphthalocyanin-Molek{\"u}le auf Metalloberfl{\"a}chen: Der Einfluss der d-Orbitalbesetzung},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-121059},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2015},
  abstract  = {Im Rahmen dieser Dissertation wird die Untersuchung von 3d-{\"U}bergangsmetallphthalocyanin- Molek{\"u}len ({\"U}MPc) - quadratisch-planaren organischen Molek{\"u}len, welche im Zentrum ein 3d-{\"U}bergangsmetallion besitzen - auf metallischen Oberfl{\"a}chen vorgestellt. Der Fokus dieser Arbeit liegt dabei auf dem Einfluss der d-Orbitalbesetzung auf die magnetischen, elektronischen und strukturellen Eigenschaften der adsorbierten Molek{\"u}le, die mit Hilfe der Rastertunnelmikroskopie und -spektroskopie charakterisiert wurden. Die gewonnen Ergebnisse werden zum Teil mit theoretischen Berechnungen analysiert und interpretiert. Die erste H{\"a}lfte der experimentellen Auswertung behandelt die Untersuchung dieser Molek{\"u}le auf Ag(001) in Hinblick auf die Existenz einer magnetischen Wechselwirkung, bei der ein unkompensiertes magnetisches Moment des Molek{\"u}ls durch die Substratelektronen abgeschirmt wird. Dieser Effekt wird als Kondo-Abschirmung bezeichnet und erzeugt in der Zustandsdichte des Molek{\"u}ls eine Resonanz am Fermi-Niveau. Die Messungen zeigen, dass diese Resonanz ausschließlich am Zentralion von MnPc vorgefunden wird, wohingegen sie bei allen anderen 3d-{\"U}bergangsmetallphthalocyanin-Molek{\"u}len, die eine h{\"o}here d-Orbitalbesetzung besitzen, nicht vorhanden ist. Anhand theoretischer Berechnungen kann die Ursache f{\"u}r dieses Verhalten darauf zur{\"u}ckgef{\"u}hrt werden, dass von allen d-Orbitalen einzig das dz2-Orbital mit dem Substrat geeignet hybridisiert, um eine Kondo-Abschirmung zu erzeugen. Da ausschließlich MnPc einen unkompensierten Spin in diesem Orbital besitzt, kann die An- bzw. Abwesenheit des Kondo-Effekts auf die unterschiedliche Besetzung des dz2-Orbitals zur{\"u}ckgef{\"u}hrt werden. Neben der eben erw{\"a}hnten Kondo-Resonanz ist bei MnPc ein weiteres Merkmal am Fermi- Niveau {\"u}berlagert. Durch die Analyse der r{\"a}umlichen Verteilung, den Vergleich mit anderen Molek{\"u}len und der Manipulation des MnPc-Molek{\"u}ls kann gezeigt werden, dass es sich bei diesem Merkmal um einen d-Orbitalzustand handelt. Die Manipulation des Molek{\"u}ls durch gezieltes Entfernen von Wasserstoffatomen erm{\"o}glicht dar{\"u}ber hinaus die St{\"a}rke der Kondo-Abschirmung zu beeinflussen. In der zweiten H{\"a}lfte der experimentellen Auswertung werden Molek{\"u}le auf bismutinduzierten Oberfl{\"a}chenlegierungen der Edelmetalle Cu(111) und Ag(111) untersucht. Diese Legierungen zeichnen sich durch einen ausgepr{\"a}gten Rashba-Effekt aus, der durch eine Aufspaltung der Parabeldispersion und Aufhebung der Spin-Entartung im zweidimensionalen Elektronengas der Oberfl{\"a}chenlegierung charakterisiert ist. Das Wachstumsverhalten von CuPc und MnPc auf diesen Oberfl{\"a}chen zeigt ein sehr gegens{\"a}tzliches Verhalten. W{\"a}hrend bei MnPc die Substrat-Molek{\"u}l-Wechselwirkung dominant ist, wodurch diese Molek{\"u}le immer einen festen Adsorptionsplatz auf der Oberfl{\"a}che besitzen, ist diese Wechselwirkung bei CuPc schwach ausgepr{\"a}gt. Aus diesem Grund wandern die CuPc-Molek{\"u}le zu den Stufenkanten und bilden Cluster. Das unterschiedliche Wachstumsverhalten der Molek{\"u}le l{\"a}sst sich auf die partiell-gef{\"u}llten d-Orbitale von MnPc zur{\"u}ckf{\"u}hren, die aus der Molek{\"u}lebene ragen, mit dem Substrat hybridisieren und damit das Molek{\"u}l an das Substrat binden. Bei CuPc hingegen sind diese d-Orbitale gef{\"u}llt und die Hybridisierung kann nicht stattfinden. Im letzten Abschnitt werden die elektronischen und magnetischen Eigenschaften von MnPc auf diesen Substraten behandelt, die einige Besonderheiten aufweisen. So bildet sich durch die Adsorption des Molek{\"u}ls auf den Oberfl{\"a}chen eine Grenzschichtresonanz aus, die eine partielle F{\"u}llung erkennen l{\"a}sst. Spektroskopiedaten, aufgenommen am Ort der Grenzschichtresonanz, weisen eine symmetrisch um das Fermi-Niveau aufgespaltene Resonanz auf. Die Intensit{\"a}t der unter- und oberhalb der Fermi-Energie befindlichen Resonanz zeigen dabei ein komplement{\"a}res Verhalten bzgl. der jeweiligen Lage auf der Grenzschichtresonanz: An den Orten, an denen die Resonanz unterhalb des Fermi-Niveaus ihre maximale Intensit{\"a}t besitzt, ist die Resonanz oberhalb des Fermi-Niveaus nicht vorhanden und umgekehrt. Diese experimentellen Beobachtungen werden mit einem Modellansatz erkl{\"a}rt, welcher die Wirkung eines effektiven Magnetfeldes und eine Spin-Filterung postuliert.},
  subject      = {Phthalocyanin},
  language  = {de}
}
@phdthesis{Praetorius2015,
  author    = {Praetorius, Christian Michael},
  title     = {Ce M4,5 XAS and XMCD as Local Probes for Kondo and Heavy Fermion Materials - A Study of CePt5/Pt(111) Surface Intermetallics -},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-132504},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2015},
  abstract  = {The aim of the present thesis is to explore the potential of X-ray magnetic circular dichroism(XMCD) experiments on gaining new insights into Kondo and heavy fermion materials. XMCD, which is derived from X-ray absorption spectroscopy (XAS), allows probing magnetic polarization specific to the different elements in a material and to their atomic orbitals. In particular, at the Ce M4,5 edges the method is sensitive to the localized 4f level, which provides the magnetic impurity moment responsible for Kondo physics in Ce compounds. Hence, Ce M4,5 XMCD is ideally suited to investigate local magnetism in the presence of interaction of impurity and conduction electrons in such materials. As a model material, CePt5/Pt(111) surface intermetallics were chosen for the present study. This thin-film material can be prepared by well-defined procedures involving molecular beam epitaxy. Crystalline Ordered samples are obtained by exploiting the single-crystallinity of the Pt(111) substrate. The surface character of thin films ideally matches the probing depth of soft X-ray spectroscopy in the total electron yield mode. The XMCD and XAS experiments, taking into account dependence on temperature, angle of incidence, sample thickness and external magnetic field, revealed the presence of four relevant energy scales that influence the magnetic response: 1. The 4f level in CePt5/Pt(111) is subject to significant crystal field (CF) splitting, which leads to reorganization of the six j = 5/2 sublevels. The hexagonal symmetry of the crystal structure conserves mj as a good quantum number. The proposed CF scheme, which is derived from measurements of the paramagnetic susceptibility by XMCD as well as linear dichroism in XAS, consists of nearly degenerate |1/2> and |3/2> doublets with the |5/2> doublet excited by E5/2 = 15 ... 25 meV. 2. Single impurity Kondo interaction significantly couples the magnetic moments of the impurity and conduction electrons. A signature thereof is the f0 -> f1 contribution to Ce M4,5 XAS, the strength of which can be tuned by control of the sample thickness. This finding is in line with the observation of reduced effective 4f moments as detected by XMCD. 3. Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction induces ferromagnetic correlations on the impurity lattice, which induces a positive Curie-Weiss temperature in the temperature-dependent inverse susceptibility. 4. Indications for the transition to a coherent heavy fermion state are found in the inverse susceptibility at T ~ 20 K; the ferromagnetic ground state is not observed. The fielddependence of the magnetic moment in the coherent state can be interpreted in terms of a metamagnetic transition. This allows studying basic characteristics of the renormalized band structure of a heavy fermion system by XMCD. The disentanglement of these different contributions to the 4f magnetism not only required extensive Ce M4,5 XAS and XMCD data, but also a thorough structural characterization of the material, a fundamental study of the Ce M4,5 line shape in relation to the degree of 4f hybridization and the development of a model for the paramagnetic susceptibility. The unit cell dimensions and sample morphology of CePt5/Pt(111) intermetallics were studied by low-energy electron diffraction (LEED) and scanning transmission electron microscopy (STEM). These experiments showed that well-defined intermetallic films form on top of the substrate. This lead to introduction of the film thickness t, measured in unit cells (u.c.), as a key feature to characterize the samples. Systematic LEED measurements in the thickness range t ~ 1 ... 15 u.c. allowed identification of six different phases, which could be interpreted as resulting from the same crystal structure with different rotational alignments and lattice constants. An accurate determination of the surface lattice constant at t ~ 3 u.c. could be achieved by interpretation of additional superstructure spots as arising from a well-defined combination of substrate and film lattices. The thicknessdependence of the lateral lattice constant could be explained in terms of lattice relaxation. Confirmation of the CePt5 stoichiometry and structure was performed by use of thicknessdependent XAS and a representative LEED-IV study. The results of this study indicate that the intermetallic films exhibit hexagonal CaCu5 structure over the entire range of thicknesses that were studied. The terminating layer consists purely of Pt with one additional Pt atom per unit cell compared to the bulk structure. The line shape of Ce M4,5 spectra was analyzed with the help of full multiplet calculations. Experimentally, characteristic variations of the line shape were observed with increasing f0 -> f1 contribution. The calculations show that these variations are not due to an admixture of j = 7/2 character to the ground state, as often stated in the literature. As alternatives, this observation can be explained by either considering an additional contribution to the spectrum or by assumption of an asymmetric lifetime profile. The model that was developed for the inverse paramagnetic susceptibility contains the hexagonal crystal field, magnetic coupling of the impurity moments in a mean field scheme and Kondo screening. The latter is included phenomenologically by screening factors for the effective moment. Assumption of doublet-specific screening factors, which means that the degree of Kondo interaction depends on the mj character of the 4f sublevels, allows satisfactory reproduction of the experimental data.},
  subject      = {Magnetischer R{\"o}ntgenzirkulardichroismus},
  language  = {en}
}
@phdthesis{Grimm2020,
  author    = {Grimm, Manuel},
  title     = {Anwendung und Weiterentwicklung der winkelaufgel{\"o}sten Photoemission an Molek{\"u}l-Metall-Grenzfl{\"a}chen: Geometrische Struktur von Bilagenschichten und Kondoeffekt},
  doi       = {10.25972/OPUS-21379},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-213797},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2020},
  abstract  = {Im Rahmen dieser Dissertation wurden organische D{\"u}nnschichten und deren Grenzfl{\"a}chen an Metallen mittels Photoemissionsspektroskopie untersucht. Hierbei wurden, unter Einstrahlung von Photonen mit einer Energie von zumeist 20-50 eV Elektronen des Valenzbandes des zu untersuchenden Probensystems ausgel{\"o}st, und in Abh{\"a}ngigkeit der kinetischen Energie und des Austrittswinkels bzw. Impulses charakterisiert. Eine wesentliche Aufgabe dieser Arbeit war es, die technische Entwicklung experimenteller Apparaturen des letzten Jahrzehnts dazu zu verwenden, um mit m{\"o}glichst großer energetischer Aufl{\"o}sung bereits etablierte aber dennoch vielversprechende Systeme erneut zu untersuchen. Im ersten Hauptabschnitt wurden hierzu Einzel- und Doppelschichten bestehend aus Pentacenmolek{\"u}len mittels Molekularstrahlepitaxie auf einer Ag(110)-Oberfl{\"a}che abgeschieden. Eine anschließende Untersuchung der emittierten Photoelektronen mittels Impulsmikroskopie, wodurch man in der Lage ist, die Photoelektronen des gesamten oberen Halbraumes gleichzeitig zu detektieren, ergab eine Verkippung der Molek{\"u}le der ersten und zweiten Lage der Doppelschichten. Im Vergleich hierzu liegen die Molek{\"u}le der Einzelschicht flach auf dem Substrat auf. Der {\"U}bergang von der Einzel- zur Doppelschicht erwirkt demnach eine Verkippung der Molek{\"u}le der ersten Lage, welche aufgrund der direkten Wechselwirkung mit dem Substrat nicht zu erwarten war. Im weiteren Verlauf dieses Abschnittes konnten unter Verwendung eines hemisph{\"a}rischen Analysators mit hoher Energieaufl{\"o}sung weitere Feinheiten des Valenzbandspektrums, wie z.B. ein ungew{\"o}hnlicher Kurvenverlauf des Intensit{\"a}tsmaximums des zweiten besetzten Molek{\"u}lorbitals der ersten (unteren) Pentacenlage ausgemacht werden. Im zweiten Hauptabschnitt wurde eine energetisch schmale Resonanz, welche in der Literatur mit dem Kondoeffekt in Verbindung gebracht wird, im Valenzbandspektrum zweier unterschiedlicher Metall-Phthalocyaninmolek{\"u}le (Nickel- und Kupfer-Phthalocyanin) auf den drei Oberfl{\"a}chen Ag(100), Ag(110) und Ag(111) adsorbiert und auf ihre Temperaturabh{\"a}ngigkeit im Bereich von 20-300 Kelvin untersucht. Hierbei ergab sich neben der Feststellung des Vorhandenseins des Maximums auf allen drei Silber-Oberfl{\"a}chen ein energetischer Versatz dieses Maximums durch Abk{\"u}hlen der Probe im Falle der Substrate Ag(100) und Ag(110), welcher in der vorliegenden Gr{\"o}ßenordnung von bis zu 100 meV ungew{\"o}hnlich f{\"u}r bisherige bekannte Kondosysteme ist. Auf Ag(111) konnte kein signifikanter Versatz im Rahmen der Messungenauigkeit festgestellt werden. Im weiteren Verlauf wurden auch von diesen Probensystemen Messungen mittels Impulsmikroskopie durchgef{\"u}hrt, welche in den dadurch erhaltenen Impulskarten geringe Anomalien aufwiesen. Insgesamt kann das vorliegende Verhalten dieser Systeme bis zum Abschluss dieser Arbeit nicht endg{\"u}ltig erkl{\"a}rt werden. Die f{\"u}r organische Systeme h{\"o}chst ungew{\"o}hnliche Theorie der Ausbildung eines Kondogitters, in welcher die Wechselwirkung einzelner St{\"o}rstellen zur Ausbildung eines elektronenartigen Bandes f{\"u}hrt, w{\"a}re jedoch zun{\"a}chst in der Lage, ein derartiges Verhalten, wenn auch nicht in dem hier gezeigten Ausmaß, teilweise zu erkl{\"a}ren.},
  subject      = {Winkelaufgel{\"o}ste Photoemissionsspektroskopie},
  language  = {de}
}
@phdthesis{Friedrich2023,
  author    = {Friedrich, Felix},
  title     = {Magnetic Excitations in Single and Coupled Atoms on Surfaces: From the Kondo Effect to Yu-Shiba-Rusinov States},
  doi       = {10.25972/OPUS-32069},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-320699},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {Magnetic systems underlie the physics of quantum mechanics when reaching the limit of few or even single atoms. This behavior limits the minimum size of magnetic bits in data storage devices as spontaneous switching of the magnetization leads to the loss of information. On the other hand, exactly these quantum mechanic properties allow to use such systems in quantum computers. Proposals to realize qubits involve the spin states of single atoms as well as topologically protected Majorana zero modes, that emerge in coupled systems of magnetic atoms in proximity to a superconductor. In order to implement and control the proposed applications, a detailed understanding of atomic spins and their interaction with the environment is required. In this thesis, two different systems of magnetic adatoms coupled to metallic and superconducting surfaces are studied by means of scanning tunneling microscopy (STM) and spectroscopy: Co atoms on the clean Cu(111) were among the first systems exhibiting signatures of the Kondo effect in an individual atom. Yet, a recent theoretical work proposed an alternative interpretation of these early experimental results, involving a newly described many-body state. Spin-averaged and -polarized experiments in high magnetic fields presented in this thesis confirm effects beyond the Kondo effect that determine the physics in these Co atoms and suggest a potentially even richer phenomenology than proposed by theory. The second studied system are single and coupled Fe atoms on the superconducting Nb(110) surface. Magnetic impurities on superconducting surfaces locally induce Yu-Shiba-Rusinov (YSR) states inside the superconducting gap due to their pair breaking potential. Coupled systems of such impurities exhibit YSR bands and, if the bands cross the Fermi level such that the band structure is inverted, host Majorana zero modes. Using the example of Fe atoms on Nb(110), the YSR states' dependence on the adatom-substrate interaction as well as the interatomic YSR state coupling is investigated. In the presence of oxygen on the Nb surface, the adatom-substrate interaction is shown to be heavily modified and the YSR states are found to undergo a quantum phase transition, which can be directly linked to a modified Kondo screening. STM tips functionalized with CO molecules allow to resolve self-assembled one-dimensional chains of Fe atoms on the clean Nb(110) surface to study the YSR states' coupling. Mapping out the states' wave functions reveals their symmetry, which is shown to alter as a function of the states' energy and number of atoms in the chain. These experimental results are reproduced in a simple tight-binding model, demonstrating a straightforward possibility to describe also more complex YSR systems toward engineered, potentially topologically non-trivial states.},
  subject      = {Rastertunnelmikroskopie},
  language  = {en}
}
@phdthesis{Kowalski2023,
  author    = {Kowalski, Alexander Anton},
  title     = {Multi-orbital quantum phenomena: from magnetic impurities to lattice models with strong Hund's coupling},
  doi       = {10.25972/OPUS-34587},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-345878},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {Strong correlations caused by interaction in systems of electrons can bring about unusual physical phenomena due to many-body quantum effects that cannot properly be captured by standard electronic structure methods like density functional theory. In this thesis, we apply the state-of-the-art continuous-time quantum Monte Carlo algorithm in hybridization expansion (CT-HYB) for the strongly correlated multi-orbital Anderson impurity model (AIM) to the solution of models of magnetic impurities on metallic surfaces and, via dynamical mean-field theory (DMFT), to the solution of a lattice model, the multi-orbital Hubbard model with Hund's coupling. A concise introduction to the theoretical background focuses on information directly relevant to the understanding of applied models, methods, and the interpretation of results. It starts with a discussion of the AIM with its parameters and its solution in the path integral formalism, the basis of the CT-HYB algorithm. We consider its derivation and implementation in some detail before reviewing the DMFT approach to correlated lattice models and the interpretation of the single-particle Green's function. We review two algorithmic developments for the CT-HYB algorithm that help to increase the performance of calculations especially in case of a complex structure of the interaction matrix and allow the precise calculation of self-energies and vertex functions also at intermediate and higher frequencies. Our comparative analysis of Kondo screening in the cobalt on copper impurity system points out the importance of an accurate interaction matrix for qualitatively correct Kondo temperatures and the relevance of all d-orbitals in that case. Theoretical modeling of cobalt impurities in copper "atomic wires" fails to reproduce variations and partial absence of Kondo resonances depending on the wire size. We analyze the dependence of results on parameters and consider possible reasons for the discrepancy. Different Kondo temperatures of iron adatoms adsorbed on clean or oxygen-reconstructed niobium in the normal state are qualitatively reproduced, with the adsorption distance identified as major factor and implications for the superconducting state pointed out. Moving on to lattice problems, we demonstrate the connection between Hund's coupling, shown to cause first-order character of the interaction-driven Mott transition at half-filling in the two-orbital Hubbard model, and a phase separation zone ending in a quantum critical point at finite doping. We touch on similarities in realistic models of iron-pnictide superconductors. We analyze the manifestation of the compressibility divergence at the finite-temperature critical points away from half-filling in the eigenbasis of the two-particle generalized susceptibility. A threshold for impurity susceptibility eigenvalues that indicates divergence of the DMFT lattice compressibility and distinguishes thermodynamic stability and instability of DMFT solutions is determined.},
  subject      = {Starke Kopplung},
  language  = {en}
}