@phdthesis{Zapf2019,
  author    = {Zapf, Michael},
  title     = {Oxidische Perovskite mit Hoher Massenzahl Z: D{\"u}nnfilmdeposition und Spektroskopische Untersuchungen},
  doi       = {10.25972/OPUS-18537},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-185370},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {Perovskite oxides are a very versatile material class with a large variety of outstanding physical properties. A subgroup of these compounds particularly tempting to investigate are oxides involving high-\(Z\) elements, where spin-orbit coupling is expected to give rise to new intriguing phases and potential application-relevant functionalities. This thesis deals with the preparation and characterization of two representatives of high-\(Z\) oxide sample systems based on KTaO\(_3\) and BaBiO\(_3\). KTaO\(_3\) is a band insulator with an electronic valence configuration of Ta 5\(d\)\(^0\) . It is shown that by pulsed laser deposition of a disordered LaAlO\(_3\) film on the KTaO\(_3\)(001) surface, through the creation of oxygen vacancies, a Ta 5\(d\)\(^{0+\(\delta\)}\) state is obtained in the upmost crystal layers of the substrate. In consequence a quasi two dimensional electron system (q2DES) with large spin-orbit coupling emerges at the heterointerface. Measurements of the Hall effect establish sheet carrier densities in the range of 0.1-1.2 10\(^{14}\) cm\(^2\), which can be controlled by the applied oxygen background pressure during deposition and the LaAlO\(_3\) film thickness. When compared to the prototypical oxide q2DESs based on SrTiO\(_3\) crystals, the investigated system exhibits exceptionally large carrier mobilities of up to 30 cm\(^2\)/Vs (7000 cm\(^2\)/Vs) at room temperature (below 10 K). Through a depth profiling by photoemission spectra of the Ta 4\(f\) core level it is shown that the majority of the Ta 5\(d\)\(^0\) charge carriers, consisting of mobile and localized electrons, is situated within 4 nm from the interface at low temperatures. Furthermore, the momentum-resolved electronic structure of the q2DES \(buried\) underneath the LaAlO\(_3\) film is probed by means of hard X-ray angle-resolved photoelectron spectroscopy. It is inferred that, due to a strong confinement potential of the electrons, the band structure of the system is altered compared to \(n\)-doped bulk KTO. Despite the constraint of the electron movement along one direction, the Fermi surface exhibits a clear three dimensional momentum dependence, which is related to a depth extension of the conduction channels of at least 1 nm. The second material, BaBiO\(_3\), is a charge-ordered insulator, which has recently been predicted to emerge as a large-gap topological insulator upon \(n\)-doping. This study reports on the thin film growth of pristine BaBiO\(_3\) on Nb:SrTiO\(_3\)(001) substrates by means of pulsed laser deposition. The mechanism is identified that facilitates the development of epitaxial order in the heterostructure despite the presence of an extraordinary large lattice mismatch of 12 \%. At the heterointerface, a structurally modified layer of about 1.7 nm thickness is formed that gradually relieves the in-plane strain and serves as the foundation of a relaxed BBO film. The thereupon formed lattice orders laterally in registry with the substrate with the orientation BaBiO\(_3\)(001)||SrTiO\(_3\)(001) by so-called domain matching, where 8 to 9 BaBiO\(_3\) unit cells align with 9 to 10 unit cells of the substrate. Through the optimization of the deposition conditions in regard to the cation stoichiometry and the structural lattice quality, BaBiO\(_3\) thin films with bulk-like electronic properties are obtained, as is inferred from a comparison of valence band spectra with density functional theory calculations. Finally, a spectroscopic survey of BaBiO\(_3\) samples of various thicknesses resolves that a recently discovered film thickness-controlled phase transition in BaBiO\(_3\) thin films can be traced back to the structural and concurrent stoichiometric modifications occuring in the initially formed lattice on top of the SrTiO\(_3\) substrate rather than being purely driven by the smaller spatial extent of the BBO lattice.},
  subject      = {Perowskit},
  language  = {en}
}
@phdthesis{Wilfert2019,
  author    = {Wilfert, Stefan},
  title     = {Rastertunnelmikroskopische und -spektroskopische Untersuchung von Supraleitern und topologischen Supraleitern},
  doi       = {10.25972/OPUS-18059},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-180597},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {Quantencomputer k{\"o}nnen manche Probleme deutlich effizienter l{\"o}sen als klassische Rechner. Bisherige Umsetzungen leiden jedoch an einer zu geringen Dekoh{\"a}renzzeit, weshalb die Lebenszeit der Quantenzust{\"a}nde einen limitierenden Faktor darstellt. Topologisch gesch{\"u}tzte Anregungen, wie Majorana-Fermionen, k{\"o}nnten hingegen dieses Hindernis {\"u}berwinden. Diese lassen sich beispielsweise in topologischen Supraleitern realisieren. Bis zum jetzigen Zeitpunkt existieren nur wenige Materialien, die dieses Ph{\"a}nomen aufweisen. Daher ist das Verst{\"a}ndnis der elektronischen Eigenschaften f{\"u}r solche Verbindungen von großer Bedeutung. In dieser Dissertation wird die Koexistenz von Supraleitung an der Probenoberfl{\"a}che und topologischem Oberfl{\"a}chenzustand (engl. topological surface state, TSS) auf potentiellen topologischen Supraleitern {\"u}berpr{\"u}ft. Diese beiden Bedingungen sind essentiell zur Ausbildung von topologischer Supraleitung in zeitumkehrgesch{\"u}tzten Systemen. Hierzu wird mittels Landaulevelspektroskopie und Quasiteilcheninterferenz das Vorhandensein des TSS am Ferminiveau auf Tl\$_{x}\$Bi\$_{2}\$Te\$_{3}\$ und Nb\$_{x}\$Bi\$_{2}\$Se\$_{3}\$ verifiziert, die mittels Transportmessungen als supraleitend identifiziert wurden. Anschließend folgen hochaufgel{\"o}ste Spektroskopien an der Fermienergie, um die supraleitenden Eigenschaften zu analysieren. Zur Interpretation der analysierten Eigenschaften wird zu Beginn der Ni-haltige Schwere-Fermion-Supraleiter TlNi\$_{2}\$Se\$_{2}\$ untersucht, der eine vergleichbare {\"U}bergangstemperatur besitzt. Anhand diesem werden die g{\"a}ngigen Messmethoden der Rastertunnelmikroskopie und -spektroskopie f{\"u}r supraleitende Proben vorgestellt und die Leistungsf{\"a}higkeit der Messapparatur demonstriert. Im Einklang mit der Literatur zeigt sich ein \$s\$-Wellencharakter des Paarungsmechanismus sowie die Formation eines f{\"u}r Typ~II-Supraleiter typischen Abrikosov-Gitters in schwachen externen Magnetfeldern. Im folgenden Teil werden die potentiellen topologischen Supraleiter Tl\$_{x}\$Bi\$_{2}\$Te\$_{3}\$ und Nb\$_{x}\$Bi\$_{2}\$Se\$_{3}\$ begutachtet, f{\"u}r die eindeutig ein TSS best{\"a}tigt wird. Allerdings weisen beide Materialien keine Oberfl{\"a}chensupraleitung auf, was vermutlich durch eine Entkopplung der Oberfl{\"a}che vom Volumen durch Bandverbiegung zu erkl{\"a}ren ist. Unbeabsichtigte Kollisionen der Spitze mit der Probe f{\"u}hren jedoch zu supraleitenden Spitzen, die wesentlich erh{\"o}hte Werte f{\"u}r die kritische Temperatur und das kritische Feld zeigen. Der letzte Abschnitt widmet sich dem supraleitenden Substrat Nb(110), f{\"u}r den der Reinigungsprozess erl{\"a}utert wird. Hierbei sind kurze Heizschritte bis nahe des Schmelzpunktes n{\"o}tig, um die bei Umgebungsbedingungen entstehende Sauerstoffrekonstruktion effektiv zu entfernen. Des Weiteren werden die elektronischen Eigenschaften untersucht, die eine Oberfl{\"a}chenresonanz zum Vorschein bringen. Hochaufgel{\"o}ste Messungen lassen eine durch die BCS-Theorie gut repr{\"a}sentierte Struktur der supraleitenden Energiel{\"u}cke erkennen. Magnetfeldabh{\"a}ngige Experimente offenbaren zudem eine mit der Kristallstruktur vereinbare Anisotropie des Paarungspotentials. Mit diesen Erkenntnissen kann Nb(110) zuk{\"u}nftig als Ausgang f{\"u}r das Wachstum von topologischen Supraleitern herangezogen werden.},
  subject      = {Supraleitung},
  language  = {de}
}
@phdthesis{Wiessner2013,
  author    = {Wießner, Michael},
  title     = {Isolierte Molek{\"u}le und delokalisierte Zust{\"a}nde: Einblick in die elektronische Struktur organischer Adsorbate mittels winkelaufgel{\"o}ster Photoemission},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-95265},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2013},
  abstract  = {Die vorliegende Arbeit demonstriert an Hand von verschiedenen Modellsystemen wie detailliert sich die grundlegenden Eigenschaften molekularer Adsorbate mit der winkelaufgel{\"o}sten Photoemission erkunden lassen. Die von Peter Puschnig et al. vorgestellte Verkn{\"u}pfung zwischen Photoemissionsintensit{\"a}t und den Molek{\"u}lorbitalen im Grundzustand mittels einer Fouriertransformation war dabei entscheidend, um die verschiedenen physikalischen Effekte einordnen und verstehen zu k{\"o}nnen. W{\"a}hrend f{\"u}r Coronen oder HBC die Orbitale im Grundzustand sehr gut zum Experiment passen, lassen sich f{\"u}r PTCDA und NTCDA einige Abweichungen von der DFT-Rechnung auf Basis der (semi-)lokalen GGA- oder LDA-Funktionale erkennen, die sich bei Messungen mit s-Polarisation hervorheben lassen. Diese k{\"o}nnen auf den Einfluss des Endzustandes in der Photoemission zur{\"u}ckgef{\"u}hrt werden. Im Rahmen der Dysonorbitale lassen sich die daf{\"u}r verantwortlichen Relaxationseffekte zwischen dem N-Elektronensystem des Molek{\"u}ls im Grundzustand und dem (N-1)-Elektronensystem des zur{\"u}ckbleibenden Kations explizit beschreiben. Die Berechnung des Photoemissionssignals mittels Fouriertransformation des Grundzustandes kann dar{\"u}ber hinaus weitere physikalische Effekte nicht korrekt ber{\"u}cksichtigen. Erste Anzeichen hierf{\"u}r konnten am PTCDA-HOMO bei einer Photonenenergie von 27 eV und s-Polarisation detektiert werden. Dar{\"u}ber hinaus kann die N{\"a}herung des Photoelektronenendzustands als ebene Welle den beobachteten zirkularen Dichroismus am HOMO und LUMO von PTCDA nicht erkl{\"a}ren. Erst in der Erweiterung durch eine Partialwellenzerlegung des Photoelektronenendzustands tritt ein dichroisches Signal in der theoretischen Beschreibung auf. F{\"u}r das delokalisierte pi-Elektronensystem von PTCDA ist aber selbst diese Verfeinerung noch nicht ausreichend, um das Experiment korrekt beschreiben und weitere Eigenschaften vorhersagen zu k{\"o}nnen. Qualitativ lassen sich die Ver{\"a}nderungen im CDAD bei der Transformation um 90° f{\"u}r HOMO und LUMO mit einem gruppentheoretischen Ansatz verstehen. Damit ist es m{\"o}glich, den molekularen Zust{\"a}nden ihre irreduzible Darstellung zuzuweisen, wor{\"u}ber sich f{\"u}r PTCDA die Verteilung der quantenmechanischen Phase rekonstruieren l{\"a}sst. Dies ist deshalb {\"a}ußerst bemerkenswert, da {\"u}blicherweise in physikalischen Experimenten nur die Intensit{\"a}t und keine Informationen {\"u}ber die Phase messbar sind. Damit k{\"o}nnen die Photoemissionsmessungen im k||-Raum vollst{\"a}ndig in den Realraum transformiert werden, wodurch die laterale Ortsinformation {\"u}ber die h{\"o}chsten besetzen Molek{\"u}lorbitale von PTCDA zug{\"a}nglich wird. Neben der Bestimmung der molekularen Orbitale, deren Struktur von der Anordnung der Atome im Molek{\"u}l dominiert wird, enth{\"a}lt die winkelaufgel{\"o}ste Photoemission Informationen {\"u}ber die Adsorbat-Substrat-Wechselwirkung. F{\"u}r hoch geordnete Monolagen ist es m{\"o}glich, die verschiedenen Verbreiterungsmechanismen zu trennen und zu analysieren. Bei den untersuchten Systemen sind die Verbreiterungen aufgrund von unterschiedlichen Adsorptionspl{\"a}tzen oder Probeninhomogenit{\"a}ten ebenso wie die experimentelle Aufl{\"o}sung der 2D-Analysatoren vernachl{\"a}ssigbar gegen{\"u}ber Lebensdauereffekten und evtl. Verbreiterung aufgrund von Dispersionseffekten. Bereits bei den {\"a}ußerst schwach wechselwirkenden Systemen Coronen auf Ag(111) und Au(111) unterscheiden sich die beiden Systeme in ihrer Lorentzverbreiterung beim HOMO. In erster N{\"a}herung l{\"a}sst sich dies auf eine Lebensdauer des entstandenen Photolochs zur{\"u}ckf{\"u}hren, welches je nach St{\"a}rke der Substratkopplung unterschiedlich schnell mit Substratelektronen aufgef{\"u}llt werden kann. Die Lorentzbreite als Indikator f{\"u}r die Wechselwirkung bzw. Hybridisierungsst{\"a}rke zeigt f{\"u}r die Systeme mit Ladungstransfer vom Substrat in das Molek{\"u}l eine sehr viel gr{\"o}ßere Verbreiterung. Zum Beispiel betr{\"a}gt die Lorentzbreite des LUMO f{\"u}r NTCDA/Ag(110) FWHM=427 meV, und somit eine mehr als f{\"u}nfmal so große Verbreiterung als f{\"u}r das HOMO von Coronen/Au(111). Diese starke Verbreiterung geht im Fall von NTCDA/Ag(110) wie auch bei den untersuchten Systemen NTCDA/Cu(100) und PTCDA/Ag(110) einher mit einem Ladungstransfer vom Substrat ins Molek{\"u}l, sowie mit der Ausbildung eines zus{\"a}tzlichen charakteristischen Signals in der Winkelverteilung des LUMO, dem Hybridisierungszustand bei kx,y=0{\AA}-1. Die Intensit{\"a}t dieses Zustands korreliert bei den Systemen NTCDA auf Cu(100) bzw. auf Ag(110) jeweils mit der Lorentzbreite des LUMO-Zustands. Die Hybridisierung zwischen Molek{\"u}l und Substrat hat noch weitere Auswirkungen auf die beobachtbaren physikalischen Eigenschaften. So f{\"u}hrt die starke Hybridisierung mit dem Substrat wiederum dazu, dass sich die intermolekulare Dispersion f{\"u}r die Elektronen im LUMO-Zustand deutlich verst{\"a}rkt. Der direkte {\"U}berlapp der Wellenfunktionen ist im System PTCDA/Ag(110) laut DFT-Rechnungen relativ klein und f{\"u}hrt lediglich zu einer Bandbreite von 60 meV. Durch die Hybridisierung mit den delokalisierten Substratb{\"a}ndern erh{\"o}ht sich der Grad der Delokalisierung im LUMO-Zustand, d.h. die Bandbreite steigt auf 230 meV, wie das Experiment best{\"a}tigt. Im Gegensatz zu fr{\"u}heren STM/STS-basierten Messungen [Temirov2006] kann mit der Kombination aus DFT-Rechnung und ARPES-Experiment eindeutig nachgewiesen werden, dass das Substrat im Fall von PTCDA/Ag(110) die Bandbreite verst{\"a}rken kann, sodass sich die effektive Masse der Lochladungstr{\"a}ger von meff=3,9me auf meff=1,1me reduziert. Im Blick auf die eingangs gestellte Frage, ob sich molekulare Adsorbate eher wie isolierte Molek{\"u}le oder als periodische Festk{\"o}rper beschreiben lassen, kommt diese Arbeit auf ein differenziertes Ergebnis. In den Impulsverteilungen, die sich aus der Form der molekularen Wellenfunktionen ableiten lassen, spiegelt sich eindeutig der isolierte molekulare Charakter wieder. Dagegen zeigt sich in der Energiedispersion E(k||) ein delokalisierter, blochartiger Charakter, und es konnte demonstriert werden, dass es zu einem Vermischen von Metall- und Molek{\"u}lwellenfunktionen kommt. Molekulare Adsorbate sind also beides, isolierte Molek{\"u}le und zweidimensionale Kristalle mit delokalisierten Zust{\"a}nden.},
  subject      = {Organisches Molek{\"u}l},
  language  = {de}
}
@phdthesis{Werner2014,
  author    = {Werner, Jan},
  title     = {Numerical Simulations of Heavy Fermion Systems: From He-3 Bilayers to Topological Kondo Insulators},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-112039},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2014},
  abstract  = {Even though heavy fermion systems have been studied for a long time, a strong interest in heavy fermions persists to this day. While the basic principles of local moment formation, Kondo effect and formation of composite quasiparticles leading to a Fermi liquid, are under- stood, there remain many interesting open questions. A number of issues arise due to the interplay of heavy fermion physics with other phenomena like magnetism and superconduc- tivity. In this regard, experimental and theoretical investigations of He-3 can provide valuable insights. He-3 represents a unique realization of a quantum liquid. The fermionic nature of He-3 atoms, in conjunction with the absence of long-range Coulomb repulsion, makes this material an ideal model system to study Fermi liquid behavior. Bulk He-3 has been investigated for quite some time. More recently, it became possible to prepare and study layered He-3 systems, in particular single layers and bilayers. The pos- sibility of tuning various physical properties of the system by changing the density of He-3 and using different substrate materials makes layers of He-3 an ideal quantum simulator for investigating two-dimensional Fermi liquid phenomenology. In particular, bilayers of He-3 have recently been found to exhibit heavy fermion behavior. As a function of temperature, a crossover from an incoherent state with decoupled layers to a coherent Fermi liquid of composite quasiparticles was observed. This behavior has its roots in the hybridization of the two layers. The first is almost completely filled and subject to strong correlation effects, while the second layer is only partially filled and weakly correlated. The quasiparticles are formed due to the Kondo screening of localized moments in the first layer by the second-layer delocalized fermions, which takes place at a characteristic temperature scale, the coherence scale Tcoh. Tcoh can be tuned by changing the He-3 density. In particular, at a certain critical filling, the coherence scale is expected to vanish, corresponding to a divergence of the quasiparticle effective mass, and a breakdown of the Kondo effect at a quantum critical point. Beyond the critical point, the layers are decoupled. The first layer is a local moment magnet, while the second layer is an itinerant overlayer. However, already at a filling smaller than the critical value, preempting the critical point, the onset of a finite sample magnetization was observed. The character of this intervening phase remained unclear. Motivated by these experimental observations, in this thesis the results of model calcula- tions based on an extended Periodic Anderson Model are presented. The three particle ring exchange, which is the dominant magnetic exchange process in layered He-3, is included in the model. It leads to an effective ferromagnetic interaction between spins on neighboring sites. In addition, the model incorporates the constraint of no double occupancy by taking the limit of large local Coulomb repulsion. By means of Cellular DMFT, the model is investigated for a range of values of the chemical potential µ and inverse temperature β = 1/T . The method is a cluster extension to the Dy- namical Mean-Field Theory (DMFT), and allows to systematically include non-local correla- tions beyond the DMFT. The auxiliary cluster model is solved by a hybridization expansion CTQMC cluster solver, which provides unbiased, numerically exact results for the Green's function and other observables of interest. As a first step, the onset of Fermi liquid coherence is studied. At low enough temperature, the self-energy is found to exhibit a linear dependence on Matsubara frequency. Meanwhile, the spin susceptibility crossed over from a Curie-Weiss law to a Pauli law. Both observations serve as fingerprints of the Fermi liquid state. The heavy fermion state appears at a characteristic coherence scale Tcoh. This scale depends strongly on the density. While it is rather high for small filling, for larger filling Tcoh is increas- ingly suppressed. This involves a decreasing quasiparticle residue Z ∼ Tcoh and an enhanced mass renormalization m∗/m ∼ Tcoh-1. Extrapolation leads to a critical filling, where the co- herence scale is expected to vanish at a quantum critical point. At the same time, the effective mass diverges. This corresponds to a breakdown of the Kondo effect, which is responsible for the formation of quasiparticles, due to a vanishing of the effective hybridization between the layers. Taking only single-site DMFT results into account, the above scenario seems plausible. However, paramagnetic DMFT neglects the ring exchange interaction completely. In or- der to improve on this, Cellular DMFT simulations are conducted for small clusters of size Nc = 2 and 3. The results paint a different physical picture. The ring exchange, by favor- ing a ferromagnetic alignment of spins, competes with the Kondo screening. As a result, strong short-range ferromagnetic fluctuations appear at larger values of µ. By lowering the temperature, these fluctuations are enhanced at first. However, for T < Tcoh they are increas- ingly suppressed, which is consistent with Fermi liquid coherence. However, beyond a certain threshold value of µ, fluctuations persist to the lowest temperatures. At the same time, while not apparent in the DMFT results, the total occupation n increases quite strongly in a very narrow range around the same value of µ. The evolution of n with µ is always continuous, but hints at a discontinuity in the limit Nc → ∞. This first-order transition breaks the Kondo effect. Beyond the transition, a ferromagnetic state in the first layer is established, and the second layer becomes a decoupled overlayer. These observations provide a quite appealing interpretation of the experimental results. As a function of chemical potential, the Kondo breakdown quantum critical point is preempted by a first-order transition, where the layers decouple and the first layer turns into a ferromagnet. In the experimental situation, where the filling can be tuned directly, the discontinuous transition is mirrored by a phase separation, which interpolates between the Fermi liquid ground state at lower filling and the magnetic state at higher filling. This is precisely the range of the intervening phase found in the experiments, which is characterized by an onset of a finite sample magnetization. Besides the interplay of heavy fermion physics and magnetic exchange, recently the spin- orbit coupling, which is present in many heavy fermion materials, attracted a lot of interest. In the presence of time-reversal symmetry, due to spin-orbit coupling, there is the possibility of a topological ground state. It was recently conjectured that the energy scale of spin-orbit coupling can become dom- inant in heavy fermion materials, since the coherence scale and quasiparticle bandwidth are rather small. This can lead to a heavy fermion ground state with a nontrivial band topology; that is, a topological Kondo insulator (TKI). While being subject to strong correlation effects, this state must be adiabatically connected to a non-interacting, topological state. The idea of the topological ground state realized in prototypical Kondo insulators, in par- ticular SmB6, promises to shed light on some of the peculiarities of these materials, like a residual conductivity at the lowest temperatures, which have remained unresolved so far. In this work, a simple two-band model for two-dimensional topological Kondo insulators is devised, which is based on a single Kramer's doublet coupled to a single conduction band. The model is investigated in the presence of a Hubbard interaction as a function of interaction strength U and inverse temperature β. The bulk properties of the model are obtained by DMFT, with a hybridization expansion CTQMC impurity solver. The DMFT approximation of a local self-energy leads to a very simple way of computing the topological invariant. The results show that with increasing U the system can be driven through a topological phase transition. Interestingly, the transition is between distinct topological insulating states, namely the Γ-phase and M-phase. This appearance of different topological phases is possible due to the symmetry of the underlying square lattice. By adiabatically connecting both in- teracting states with the respective non-interacting state, it is shown that the transition indeed drives the system from the Γ-phase to the M-phase. A different behavior can be observed by pushing the bare position of the Kramer's doublet to higher binding energies. In this case, the non-interacting starting point has a trivial band topology. By switching on the interaction, the system can be tuned through a quantum phase transition, with a closing of the band gap. Upon reopening of the band gap, the system is in the Γ-phase, i. e. a topological insulator. By increasing the interaction strength further, the system moves into a strongly correlated regime. In fact, close to the expected transition to the M phase, the mass renormalization becomes quite substantial. While absent in the para- magnetic DMFT simulations conducted, it is conceivable that instead of a topological phase transition, the system undergoes a time-reversal symmetry breaking, magnetic transition. The regime of strong correlations is studied in more detail as a function of temperature, both in the bulk and with open boundary conditions. A quantity which proved very useful is the bulk topological invariant Ns, which can be generalized to finite interaction strength and temperature. In particular, it can be used to define a temperature scale T ∗ for the onset of the topological state. Rescaling the results for Ns, a nice data collapse of the results for different values of U, from the local moment regime to strongly mixed valence, is obtained. This hints at T ∗ being a universal low energy scale in topological Kondo insulators. Indeed, by comparing T ∗ with the coherence scale extracted from the self-energy mass renormalization, it is found that both scales are equivalent up to a constant prefactor. Hence, the scale T ∗ obtained from the temperature dependence of topological properties, can be used as an independent measure for Fermi liquid coherence. This is particularly useful in the experimentally relevant mixed valence regime, where charge fluctuations cannot be neglected. Here, a separation of the energy scales related to spin and charge fluctuations is not possible. The importance of charge fluctuations becomes evident in the extent of spectral weight transfer as the temperature is lowered. For mixed valence, while the hybridization gap emerges, a substantial amount of spectral weight is shifted from the vicinity of the Fermi level to the lower Hubbard band. In contrast, this effect is strongly suppressed in the local moment regime. In addition to the bulk properties, the spectral function for open boundaries is studied as a function of temperature, both in the local moment and mixed valence regime. This allows an investigation of the emergence of topological edge states with temperature. The method used here is the site-dependent DMFT, which is a generalization of the conventional DMFT to inhomogeneous systems. The hybridization expansion CTQMC algorithm is used as impurity solver. By comparison with the bulk results for the topological quantity Ns, it is found that the temperature scale for the appearance of the topological edge states is T ∗, both in the mixed valence and local moment regime.},
  subject      = {Fermionensystem},
  language  = {en}
}
@phdthesis{Stuehler2023,
  author    = {St{\"u}hler, Rudolf Raul Albert},
  title     = {Growth and Spectroscopy of the Two-dimensional Topological Insulator Bismuthene on SiC(0001)},
  doi       = {10.25972/OPUS-32008},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-320084},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {A plethora of novel material concepts are currently being investigated in the condensed matter research community. Some of them hold promise to shape our everyday world in a way that silicon-based semiconductor materials and the related development of semiconductor devices have done in the past. In this regard, the last decades have witnessed an explosion of studies concerned with so called ''quantum materials'' with emerging novel functionalities. These could eventually lead to new generations of electronic and/or spintronic devices. One particular material class, the so called topological materials, play a central role. As far as their technological applicability is concerned, however, they are still facing outstanding challenges to date. Predicted for the first time in 2005 and experimentally verified in 2007, two-dimensional topological insulators (2D TIs) (a.k.a. quantum spin Hall insulators) exhibit the outstanding property of hosting spin-polarized metallic states along the boundaries of the insulating 2D bulk material, which are protected from elastic single-particle backscattering and give rise to the quantum spin Hall effect (QSHE). Owing to these peculiar properties the QSHE holds promise for dissipationless charge and/or spin transport. However, also in today's best 2D TIs the observation of the QSHE is still limited to cryogenic temperatures of maximum 100 K. Here, the discovery of bismuthene on SiC(0001) has marked a milestone towards a possible realization of the QSHE at or beyond room-temperature owing to the massively increased electronic bulk energy gap on the order of 1 eV. This thesis is devoted to and motivated by the goal of advancing its synthesis and to build a deeper understanding of its one-particle and two-particle electronic properties that goes beyond prior work. Regarding the aspect of material synthesis, an improved growth procedure for bismuthene is elaborated that increases the domain size of the material considerably (by a factor of ≈ 3.2 - 6.5 compared to prior work). The improved film quality is an important step towards any future device application of bismuthene, but also facilitates all further basic studies of this material. Moreover, the deposition of magnetic transition metals (Mn and Co) on bismuthene is investigated. Thereby, the formation of ordered magnetic Bi-Mn/Co alloys is realized, their structure is resolved with scanning tunneling microscopy (STM), and their pristine electronic properties are resolved with scanning tunneling spectroscopy (STS) and photoemission spectroscopy (PES). It is proposed that these ordered magnetic Bi-Mn/Co-alloys offer the potential to study the interplay between magnetism and topology in bismuthene in the future. In this thesis, a wide variety of spectroscopic techniques are employed that aim to build an understanding of the single-particle, as well as two-particle level of description of bismuthene's electronic structure. The techniques involve STS and angle-resolved PES (ARPES) on the one hand, but also optical spectroscopy and time-resolved ARPES (trARPES), on the other hand. Moreover, these experiments are accompanied by advanced numerical modelling in form of GW and Bethe-Salpeter equation calculations provided by our theoretical colleagues. Notably, by merging many experimental and theoretical techniques, this work sets a benchmark for electronic structure investigations of 2D materials in general. Based on the STS studies, electronic quasi-particle interferences in quasi-1D line defects in bismuthene that are reminiscent of Fabry-P{\´e}rot states are discovered. It is shown that they point to a hybridization of two pairs of helical boundary modes across the line defect, which is accompanied by a (partial) lifting of their topological protection against elastic single-particle backscattering. Optical spectroscopy is used to reveal bismuthene's two-particle elecronic structure. Despite its monolayer thickness, a strong optical (two-particle) response due to enhanced electron-hole Coulomb interactions is observed. The presented combined experimental and theoretical approach (including GW and Bethe-Salpeter equation calculations) allows to conclude that two prominent optical transitions can be associated with excitonic transitions derived from the Rashba-split valence bands of bismuthene. On a broader scope this discovery might promote further experiments to elucidate links of excitonic and topological physics. Finally, the excited conduction band states of bismuthene are mapped in energy and momentum space employing trARPES on bismuthene for the first time. The direct and indirect band gaps are succesfully extracted and the effect of excited charge carrier induced gap-renormalization is observed. In addition, an exceptionally fast excited charge carrier relaxation is identified which is explained by the presence of a quasi-metallic density of states from coupled topological boundary states of domain boundaries.},
  subject      = {Topologischer Isolator},
  language  = {en}
}
@phdthesis{Seibel2016,
  author    = {Seibel, Christoph},
  title     = {Elektronische Struktur von Halbleiteroberfl{\"a}chen mit starker Spin-Bahn-Wechselwirkung: Topologie, Spinpolarisation und Robustheit},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-140418},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2016},
  abstract  = {Neue Erkenntnisse {\"u}ber elektronische Eigenschaften von Festk{\"o}rpern legen den Grundstein f{\"u}r innovative Anwendungen der Zukunft. Von zentraler Bedeutung sind insbesondere die Eigenschaften der Elektronenspins. Um diese besser zu verstehen, befasst sich die vorliegende Arbeit mit der experimentellen Analyse der elektronischen Struktur von topologischen Isolatoren (Sb\$_2\$Te\$_3\$ , Bi\$_2\$Se\$_x\$Te\$_{3-x}\$, Bi\$_{1.5}\$Sb\$_{0.5}\$Te\$_{1.8}\$Se\$_{1.2} und Bi\$_{1.4}\$Sb\$_{1.1}\$Te\$_{2.2}\$S\$_{0.3}\$) und Kristallen mit starker Spin-Bahn-Wechselwirkung (BiTeI) mittels Photoelektronenspektroskopie. Zu Beginn werden die zum Verst{\"a}ndnis dieser Arbeit ben{\"o}tigten Grundlagen erkl{\"a}rt sowie die unterschiedlichen zum Einsatz kommenden Techniken eingef{\"u}hrt. Der Hauptteil der Arbeit teilt sich in drei Forschungsschwerpunkte. Der erste Teil befasst sich mit den elektronischen Eigenschaften der Valenzbandstruktur von Sb2Te3 und den auftretenden Oberfl{\"a}chenzust{\"a}nden. Durch gezielte Variation der Energie der anregenden Strahlung wird der Charakter der Wellenfunktion des topologischen Oberfl{\"a}chenzustands und dessen Wechselwirkung mit Valenzzust{\"a}nden erforscht. Dabei spielt die Topologie der Volumenbandstruktur eine grundlegende Rolle. Der zus{\"a}tzliche Vergleich zu Photoemissionsrechnungen erm{\"o}glicht detaillierte Einblicke in die Wechselwirkung zwischen Oberfl{\"a}chen- und Volumenzust{\"a}nden und gibt Aufschluss dar{\"u}ber, wie diese vermittelt werden. Im zweiten Abschnitt wird durch die Analyse des gemessenen Photoelektronenspins das Zusammenspiel der Spintextur des Grundzustands und Endzust{\"a}nden in Bi2Te3 untersucht. Dabei treten, im Gegensatz zu Grundzustandsrechnungen, Radialkomponenten des Polarisationsvektors in nichtsymmetrischer Messgeometrie auf. Sowohl deren Energieabh{\"a}ngigkeit als auch deren Auftreten in Photoemissionsrechnungen (1-Schritt-Modell) deutet darauf hin, dass diese ihren Ursprung in {\"U}bergangsmatrixelementen des Photoemissionsprozesses haben. Dieses Ergebnis wird mit Spinpolarisationsmessungen am Oberfl{\"a}chenzustand des nicht-topologischen Schichtsystems BiTeI verglichen. Im dritten Teil werden Auswirkungen unterschiedlicher Manipulationen der untersuchten Materialien auf deren elektronische Eigenschaften beschrieben. Die Adsorption von Bruchteilen einer monoatomaren Lage des Alkalimetalls Caesium auf die Oberfl{\"a}che des topologischen Isolators Sb2Te3 wird systematisch untersucht. Dadurch kann dessen intrinsische p-Dotierung teilweise abgebaut werden, wobei die Valenzbandstruktur trotz der Reaktivit{\"a}t des Adsorbats intakt bleibt. Des Weiteren werden Auswirkungen von {\"A}nderungen der Kristallst{\"o}chiometrie durch Volumendotierung vergleichend diskutiert. Ausblickend befasst sich das Kapitel mit dem Verhalten geringer Mengen ferromagnetischer Materialen (Fe, Ni) auf den Oberfl{\"a}chen der topologischen Isolatoren. F{\"u}r die verschiedenen Adsorbate werden Trends aufgezeigt, die von Temperatur und Zusammensetzung des Substratkristalls abh{\"a}ngen.},
  subject      = {Elektronenstruktur},
  language  = {de}
}
@phdthesis{Reis2022,
  author    = {Reis, Felix},
  title     = {Realization and Spectroscopy of the Quantum Spin Hall Insulator Bismuthene on Silicon Carbide},
  doi       = {10.25972/OPUS-25825},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-258250},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2022},
  abstract  = {Topological matter is one of the most vibrant research fields of contemporary solid state physics since the theoretical prediction of the quantum spin Hall effect in graphene in 2005. Quantum spin Hall insulators possess a vanishing bulk conductivity but symmetry-protected, helical edge states that give rise to dissipationless charge transport. The experimental verification of this exotic state of matter in 2007 lead to a boost of research activity in this field, inspired by possible ground-breaking future applications. However, the use of the quantum spin Hall materials available to date is limited to cryogenic temperatures owing to their comparably small bulk band gaps. In this thesis, we follow a novel approach to realize a quantum spin Hall material with a large energy gap and epitaxially grow bismuthene, i.e., Bi atoms adopting a honeycomb lattice, in a \((\sqrt{3}\times\sqrt{3})\) reconstruction on the semiconductor SiC(0001). In this way, we profit both from the honeycomb symmetry as well as the large spin-orbit coupling of Bi, which, in combination, give rise to a topologically non-trivial band gap on the order of one electronvolt. An in-depth theoretical analysis demonstrates that the covalent bond between the Si and Bi atoms is not only stabilizing the Bi film but is pivotal to attain the quantum spin Hall phase. The preparation of high-quality, unreconstructed SiC(0001) substrates sets the basis for the formation of bismuthene and requires an extensive procedure in ultra-pure dry H\(_2\) gas. Scanning tunneling microscopy measurements unveil the (\(1\times1\)) surface periodicity and smooth terrace planes, which are suitable for the growth of single Bi layers by means of molecular beam epitaxy. The chemical configuration of the resulting Bi film and its oxidation upon exposure to ambient atmosphere are inspected with X-ray photoelectron spectroscopy. Angle-resolved photoelectron spectroscopy reveals the excellent agreement of probed and calculated band structure. In particular, it evidences a characteristic Rashba-splitting of the valence bands at the K point. Scanning tunneling spectroscopy probes signatures of this splitting, as well, and allows to determine the full band gap with a magnitude of \(E_\text{gap}\approx0.8\,\text{eV}\). Constant-current images and local-density-of-state maps confirm the presence of a planar honeycomb lattice, which forms several domains due to different, yet equivalent, nucleation sites of the (\(\sqrt{3}\times\sqrt{3}\))-Bi reconstruction. Differential conductivity measurements demonstrate that bismuthene edge states evolve at atomic steps of the SiC substrate. The probed, metallic local density of states is in agreement with the density of states expected from the edge state's energy dispersion found in density functional theory calculations - besides a pronounced dip at the Fermi level. By means of temperature- and energy-dependent tunneling spectroscopy it is shown that the spectral properties of this suppressed density of states are successfully captured in the framework of the Tomonaga-Luttinger liquid theory and most likely originate from enhanced electronic correlations in the edge channel.},
  subject      = {Zweidimensionales Material},
  language  = {en}
}
@phdthesis{Mingebach2012,
  author    = {Mingebach, Markus Harald},
  title     = {Photocurrent in Organic Solar Cells},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-73569},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {A quite new approach to low-cost mass production of flexible solar cells are organic photovoltaics. Even though the device efficiencies increased rapidly during the last years, further imporvements are essential for a successful market launch. One important factor influencing the device efficiency is the photocurrent of a solar cell, which is defined as the difference between the current under illumination and in the dark. In case of organic bulk heterojunction (BHJ) solar cells it is — in contrast to inorganic devices — dependent on the applied bias voltage. The voltage dependence results in a reduced fill factor and thus an even more pronounced influence of the photocurrent on the device efficiency. It is therefore crucial to understand the underlying processes determining the photocurrent in order to be able to further improve the solar cell performance. In a first step the photocurrent of P3HT:PC61BM devices was investigated by a pulsed measurement technique in order to prevent disturbing influences due to device heating under continous illumination. The resulting photocurrent was hyperbolic tangent like and featured a point symmetry, whose origin and meaning were discussed. In addition, the photocurrent was described by a combined model of Braun-Onsager and Sokel-Hughes theory for field dependent polaron pair dissociation and charge extraction, respectively. After this macroscopic view on the photocurrent, the focus of this work moves to the more basic processes determining the photocurrent: charge photogeneration and recombination. In a comparative study the field-dependence of these was investigated by time-delayed collection field (TDCF) measurements for two well-known reference systems, namely P3HT:PC61BM and MDMO-PPV:PC61BM. It was possible to identify two different dominating scenarios for the generation of free charge carriers. The first one — via a thermalized charge transfer state (CTS) — is clearly influenced by geminate recombination and therefore less efficient. In the second scenario, the free charge carriers are either generated directly or via an excited, "hot" CTS. In addition, clear differences in the nongeminate recombination dynamics of both material systems were found. Similar studies were also be presented with two modern low bandgap polymers which only differ by the bridging atom in the cyclopentadithiophene (PCPDTBT:PC71BM vs. Si-PCPDTBT:PC71BM). Such small changes in the chemical structure were already sufficient to affect the charge photogeneration as well as the morphology of the blend. These findings were set into relation to current-voltage characteristics in order to discuss the origin of the clear differences in the solar cell performance of both materials. Another crucial parameter limiting the solar cell efficiency is the builtin potential of a device. Within the range of semiconducting pn-junctions, Mott-Schottky analysis is an established method to determine the built-in potential. As it was originally derived for abrupt pn-junctions, its validity for organic BHJ solar cells — a bipolar, effective medium — was discussed. Experimental findings as well as the contradictions to Mott-Schottky theory indicated, that a direct transfer of this method to organic photovoltaics is not appropriate. Finally, the results obtained in the framework of the MOPS-project (Massengedruckte Organische Papier-Solarzellen) will be presented, in which the first completely roll-to-roll printed paper solar cells were realized.},
  subject      = {Organische Solarzelle},
  language  = {en}
}
@phdthesis{Metzger2021,
  author    = {Metzger, Christian Thomas Peter},
  title     = {Development of photoemission spectroscopy techniques for the determination of the electronic and geometric structure of organic adsorbates},
  doi       = {10.25972/OPUS-22952},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-229525},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {The projects presented in this thesis cover the examination of the electronic and structural properties of organic thin films at noble metal-organic interfaces. Angle-resolved photoemission spectroscopy is used as the primary investigative tool due to the connection of the emitted photoelectrons to the electronic structure of the sample. The surveyed materials are of relevance for fundamental research and practical applications on their own, but also serve as archetypes for the photoemission techniques presented throughout the four main chapters of this thesis. The techniques are therefore outlined with their adaptation to other systems in mind and a special focus on the proper description of the final state. The most basic description of the final state that is still adequate for the evaluation of photoemission data is a plane wave. Its simplicity enables a relatively intuitive interpretation of photoemission data, since the initial and final state are related to one another by a Fourier transform and a geometric factor in this approximation. Moreover, the initial states of some systems can be reconstructed in three dimensions by combining photoemission measurements at various excitation energies. This reconstruction can even be carried out solely based on experimental data by using suitable iterative algorithms. Since the approximation of the final state in the photoemission process by a plane wave is not valid in all instances, knowledge on the limitations of its applicability is indispensable. This can be gained by a comparison to experimental data as well as calculations with a more detailed description of the photoemission final state. One possible appraoch is based on independently emitting atoms where the coherent superposition of partial, atomic final states produces the total final state. This approach can also be used for more intricate studies on organic thin films. To this end, experimental data can be related to theoretical calculations to gain extensive insights into the structural and electronic properties of molecules in organic thin films.},
  subject      = {ARPES},
  language  = {en}
}
@phdthesis{Maass2017,
  author    = {Maaß, Henriette},
  title     = {Spin-dependence of angle-resolved photoemission from spin-orbit split surface states},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-151025},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2017},
  abstract  = {Spin- and angle-resolved photoelectron spectroscopy is the prime method to investigate spin polarized electronic states at solid state surfaces. In how far the spin polarization of an emitted photoelectron reflects the intrinsic spin character of an electronic state is the main question in the work at hand. It turns out that the measured spin polarization is strongly influenced by experimental conditions, namely by the polarization of the incoming radiation and the excitation energy. The photoemission process thus plays a non-negligible role in a spin-sensitive measurement. This work is dedicated to unravel the relation between the result of a spin-resolved measurement and the spin character in the ground state and, therefore, to gain a deep understanding of the spin-dependent photoemission process. Materials that exhibit significant spin-splittings in their electronic structure, owing to a strong spin-orbit coupling, serve as model systems for the investigations in this work. Therefore, systems with large Rashba-type spin-splittings as BiTeI(0001) and the surface alloys BiAg2/Ag(111) and PbAg2/Ag(111) are investigated. Likewise, the surface electronic structure of the topological insulators Bi2Te2Se(0001) and Bi2Te3(0001) are analyzed. Light polarization dependent photoemission experiments serve as a probe of the orbital composition of electronic states. The knowledge of the orbital structure helps to disentangle the spin-orbital texture inherent to the different surface states, when in addition the spin-polarization is probed. It turns out that the topological surface state of Bi2Te2Se(0001) as well as the Rashba-type surface state of BiTeI(0001) exhibit chiral spin-textures associated with the p-like in-plane orbitals. In particular, opposite chiralities are coupled to either tangentially or radially aligned p-like orbitals, respectively. The results presented here are thus evidence that a coupling between spin- and orbital part of the wave function occurs under the influence of spin-orbit coupling, independent of the materials topology. Systematic photon energy dependent measurements of the out-of-plane spin polarization of the topological surface state of Bi2Te3(0001) reveal a strong dependence and even a reversal of the sign of the photoelectron spin polarization with photon energy. Similarly, the measured spin component perpendicular to the wave vector of the surface state of BiAg2/Ag(111) shows strong modulations and sign reversals when the photon energy is changed. In BiAg2/Ag(111) the variations in the photoelectron spin polarization are accompanied by significant changes and even a complete suppression of the photoemission intensity from the surface state, indicating that the variations of the spin polarization are strongly related to the photoemission cross section. This relation is finally analyzed in detail by employing a simple model, which is based on an evaluation of the transition matrix elements that describe the presented experiments. The model shows that the underlying cause for the observed photoelectron spin reversals can be found in the coupling of the spin structure to the spatial part of the initial state wave function, revealing the crucial role of spin-orbit interaction in the initial state wave function. The model is supported by ab initio photoemission calculations, which show strong agreement with the experimental results.},
  subject      = {Photoelektronenspektroskopie},
  language  = {en}
}