@phdthesis{Blumenstein2012,
  author    = {Blumenstein, Christian},
  title     = {One-Dimensional Electron Liquid at a Surface: Gold Nanowires on Ge(001)},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-72801},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Selbstorganisierte Nanodr{\"a}hte auf Halbleiteroberfl{\"a}chen erm{\"o}glichen die Untersuchung von Elektronen in niedrigen Dimensionen. Interessanterweise werden die elektronischen Eigenschaften des Systems von dessen Dimensionalit{\"a}t bestimmt, und das noch {\"u}ber das Quasiteilchenbild hinaus. Das quasi-eindimensionale (1D) Regime zeichnet sich durch eine schwache laterale Kopplung zwischen den Ketten aus und erm{\"o}glicht die Ausbildung einer Peierls Instabilit{\"a}t. Durch eine Nesting Bedingung in der Fermi Fl{\"a}che kommt es zu einer Bandr{\"u}ckfaltung und damit zu einem isolierenden Grundzustand. Dies wird begleitet von einer neuen {\"U}berstruktur im Realraum, die mit dem Nestingvektor korrespondiert. In fr{\"u}heren Nanodrahtsystemen wurde ein solcher Effekt gezeigt. Dazu geh ̈oren Indium Ketten auf Si(111) und die Gold rekonstruierten Substrate Si(553) und Si(557). Die Theorie sagt jedoch einen weiteren Zustand voraus, der nur im perfekten 1D Grenzfall existiert und der bei geringster Kopplung mit h{\"o}heren Dimensionen zerst{\"o}rt wird. Dieser Zustand wird Tomonaga-Luttinger Fl{\"u}ssigkeit (TLL) genannt und f{\"u}hrt zu einem Zusammenbruch des Quasiteilchenbildes der Fermi-Fl{\"u}ssigkeit. Hier sind nur noch kollektive Anregungen der Elektronen erlaubt, da die starke laterale Einschr{\"a}nkung zu einer erh{\"o}hten Kopplung zwischen den Teilchen f{\"u}hrt. Dadurch treten interessante Effekte wie Spin-Ladungs-Trennung auf, bei dem sich die Ladung und der Spin eines Elektrons entkoppeln und getrennt voneinander durch den Nanodraht bewegen k{\"o}nnen. Bis heute wurde solch ein seltener Zustand noch nicht an einer Oberfl{\"a}che beobachtet. In dieser Arbeit wird ein neuer Ansatz zur Herstellung von besser definierten 1D Ketten gew{\"a}hlt. Dazu wird die Au-rekonstruierte Ge(001) Nanodraht-Oberfl{\"a}che untersucht. F{\"u}r die Pr{\"a}paration des Substrates wird ein neues Rezept entwickelt, welches eine langreichweitig geordnete Oberfl{\"a}che erzeugt. Um das Wachstum der Nanodr{\"a}hte zu optimieren wird das Wachstums-Phasendiagramm ausgiebig untersucht. Außerdem werden die strukturellen Bausteine der Ketten sehr genau beschrieben. Es ist bemerkenswert, dass ein struktureller Phasen{\"u}bergang der Ketten oberhalb von Raumtemperatur gefunden wird. Aufgrund von spektroskopischen Untersuchungen kann eine Peierls Instabilit{\"a}t als Ursache ausgeschlossen werden. Es handelt sich um einen 3D-Ising-Typ {\"U}bergang an dem das Substrat ebenfalls beteiligt ist. Die Untersuchungen zur elektronischen Struktur der Ketten zeigen zwei deutliche Erkennungsmerkmale einer TLL: Ein potenzgesetzartiger Verlauf der Zustandsdichte und universales Skalenverhalten. Daher wird zum ersten Mal eine TLL an einer Oberfl{\"a}che nachgewiesen, was nun gezielt lokale Untersuchungen und Manipulationen erm{\"o}glicht. Dazu geh{\"o}ren (i) Dotierung mit Alkalimetallen, (ii) die Untersuchung von Kettenenden und (iii) die einstellbare Kopplung zwischen den Ketten durch zus{\"a}tzliche Goldatome. Damit wird ein wichtiger Beitrag zu theoretischen Vorhersagen und Modellen geliefert und somit das Verst{\"a}ndnis korrelierter Elektronen vorangetrieben.},
  subject      = {Nanodraht},
  language  = {en}
}
@phdthesis{Meyer2013,
  author    = {Meyer, Sebastian},
  title     = {Model System for Correlation Phenomena in Reduced Dimensions - Gold-induced Atomic Chains on Germanium},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-77723},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2013},
  abstract  = {Atomic chains, often called nanowires, form in a self-organized process after the adsorption of metal atoms. These wires are spatially well confined representing a close approach of a true one-dimensional structure. The low-dimensional architecture thereby often leads to anisotropic electronic states with vanishing interchain interaction. In the presence of weak coupling to the substrate a one-dimensional metal can experience a phase transition according to Peierls into an insulating ground state upon temperature, which is accompanied by a periodic lattice distortion. Without any coupling a strict onedimensional regime is reached, where the common Fermi liquid description breaks down with the quasi-particles being replaced by collective excitations of spin and charge. This state is referred to as a Tomonaga-Luttinger liquid (TLL), which has been observed so far only in anisotropic bulk materials. An experimental fingerprint for both phenomena can be obtained from the electronic states close to the chemical potential, i.e. the Fermi energy. Using a semiconducting substrate provides the best observation conditions since any bulk projection onto the interesting bands is avoided. In case of Au/Ge(001) the growth of gold-induced chains is guided by the dimerized bare Ge (2×1) reconstruction yielding two different domains of wires rotated by 90° going from one terrace to the next by a single height step. The superior wetting capabilities of gold on germanium enables a complete coverage of the Ge(001) surface with longrange ordered wires. Their length scale and defect density is limited by the underlying substrate, for which a cleaning procedure is introduced based on wet-chemical etching followed by thermal dry oxidation. The band structure of Au/Ge(001) is investigated by angle-resolved photoelectron spectroscopy as a function of temperature. Two states are observed: a two-dimensional metallic state with hole-like dispersion and a one-dimensional electron pocket, whose band-integrated spectral function does not show the typical Fermi distribution at the chemical potential. Instead, a decrease of spectral weight applies following a power-law. This behavior can be well explained within the Tomonaga-Luttinger liquid theory which replaces the Fermi-Landau formalism in strictly one-dimensional systems. To enable theoretical modeling, a structural analysis was performed on the basis of surface x-ray diffraction (SXRD). From the in-plane scattering data a Patterson-map could be extracted leading to in-plane distances between gold atoms in the unit cell. This provides the first step towards a complete structural model and therefore towards a band structure calculation. First successful attempts have been made to manipulate the system by controlled adsorption of potassium. Here, an n-type doping effect is observed for submonolayer coverage whereas slightly increased coverages in combination with thermal energy lead to a new surface reconstruction.},
  subject      = {Nanodraht},
  language  = {en}
}
@phdthesis{Halbig2019,
  author    = {Halbig, Benedikt},
  title     = {Surface Raman Spectroscopy on Ordered Metal Adsorbates on Semiconductor Substrates and Thin Intermetallic Films},
  doi       = {10.25972/OPUS-18138},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-181385},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {Surface systems attract great scientific attention due to novel and exotic properties. The atomically structured surfaces lead to a reduced dimensionality which alters electronic correlations, vibrational properties, and their impact on each other. The emerging physical phenomena are not observed for related bulk materials. In this thesis, ordered (sub)monolayers of metal atoms (Au and Sn) on semiconductor substrates (Si(111) and Ge(111)) and ultrathin intermetallic films (CePt5 and LaPt5) on metal substrate (Pt(111)) are investigated by polarized in situ surface Raman spectroscopy. The surface Raman spectra exhibit features of specific elementary excitations like surface phonons and electronic excitations, which are suitable to gain fundamental insights into the surface systems. The Au-induced surface reconstructions (5x2) and (r3xr3) constitute quasi-one- and two-dimensional Au structures on the Si(111) substrate, respectively. The new reconstruction-related Raman peaks are analyzed with respect to their polarization and temperature behavior. The Raman results are combined with firstprinciples calculations to decide between different proposed structural models. The Au-(5x2)/Si(111) reconstruction is best described by the model of Kwon and Kang, while for Au-(r3xr3)/Si(111) the conjugate honeycomb-chained-trimer model is favored. The Sn-induced reconstructions with 1/3 monolayer on Ge(111) and Si(111) are investigated to reveal their extraordinary temperature behavior. Specific surface phonon modes are identified that are predicted within the dynamical fluctuation model. Contrary to Sn/Si(111), the corresponding vibrational mode of Sn/Ge(111) exhibits a nearly harmonic character. The reversible structural phase transition of Sn/Ge(111) from (r3xr3) to (3x3) is observed, while no phase transition is apparent for Sn/Si(111). Moreover, Raman spectra of the closely related systems Sn-(2r3x2r3)/Si(111) and thin films of a-Sn as well as the clean semiconductor surfaces Si(111)-(7x7) and Ge(111)-c(2x8) are evaluated and compared. The CePt5/Pt(111) system hosts 4f electrons whose energy levels are modified by the crystal field and are relevant for a description of the observed Kondo physics. In contrast, isostructural LaPt5/Pt(111) has no 4f electrons. For CePt5/Pt(111), distinct Raman features due to electronic Raman scattering can be unambiguously related to transitions between the crystal-field states which are depth-dependent. This assignment is supported by comparison to LaPt5/Pt(111) and group theoretical considerations. Furthermore, the vibrational properties of CePt5 and LaPt5 reveal interesting similarities but also striking differences like an unusual temperature shift of a vibration mode of CePt5, which is related to the influence of 4f electrons.},
  subject      = {Raman-Spektroskopie},
  language  = {en}
}
@phdthesis{Adler2021,
  author    = {Adler, Florian Rudolf},
  title     = {Electronic Correlations in Two-dimensional Triangular Adatom Lattices},
  doi       = {10.25972/OPUS-24175},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-241758},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {Two-dimensional triangular lattices of group IV adatoms on semiconductor substrates provide a rich playground for the investigation of Mott-Hubbard physics. The possibility to combine various types of adatoms and substrates makes members of this material class versatile model systems to study the influence of correlation strength, band filling and spin-orbit coupling on the electronic structure - both experimentally and with dedicated many-body calculation techniques. The latter predict exotic ground states such as chiral superconductivity or spin liquid behavior for these frustrated lattices, however, experimental confirmation is still lacking. In this work, three different systems, namely the \(\alpha\)-phases of Sn/SiC(0001), Pb/Si(111), and potassium-doped Sn/Si(111) are investigated with scanning tunneling microscopy and photoemission spectroscopy in this regard. The results are potentially relevant for spintronic applications or quantum computing. For the novel group IV triangular lattice Sn/SiC(0001), a combined experimental and theoretical study reveals that the system features surprisingly strong electronic correlations because they are boosted by the substrate through its partly ionic character and weak screening capabilities. Interestingly, the spectral function, measured for the first time via angle-resolved photoemission, does not show any additional superstructure beyond the intrinsic \(\sqrt{3} \times \sqrt{3} R30^{\circ}\) reconstruction, thereby raising curiosity regarding the ground-state spin pattern. For Pb/Si(111), preceding studies have noted a phase transition of the surface reconstruction from \(\sqrt{3} \times \sqrt{3} R30^{\circ}\) to \(3 \times 3\) at 86 K. In this thesis, investigations of the low-temperature phase with high-resolution scanning tunneling microscopy and spectroscopy unveil the formation of a charge-ordered ground state. It is disentangled from a concomitant structural rearrangement which is found to be 2-up/1-down, in contrast to previous predictions. Applying an extended variational cluster approach, a phase diagram of local and nonlocal Coulomb interactions is mapped out. Based on a comparison of theoretical spectral functions with scattering vectors found via quasiparticle interference, Pb/Si(111) is placed in said phase diagram and electronic correlations are found to be the driving force of the charge-ordered state. In order to realize a doped Mott insulator in a frustrated geometry, potassium was evaporated onto the well-known correlated Sn/Si(111) system. Instead of the expected insulator-to-metal transition, scanning tunneling spectroscopy data indicates that the electronic structure of Sn/Si(111) is only affected locally around potassium atoms while a metallization is suppressed. The potassium atoms were found to be adsorbed on empty \(T_4\) sites of the substrate which eventually leads to the formation of two types of K-Sn alloys with a relative potassium content of 1/3 and 1/2, respectively. Complementary measurements of the spectral function via angle-resolved photoemission reveal that the lower Hubbard band of Sn/Si(111) gradually changes its shape upon potassium deposition. Once the tin and potassium portion on the surface are equal, this evolution is complete and the system can be described as a band insulator without the need to include Coulomb interactions.},
  subject      = {Rastertunnelmikroskopie},
  language  = {en}
}
@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}
}