@phdthesis{Platt2012,
  author    = {Platt, Christian},
  title     = {A Common Thread in Unconventional Superconductivity: The Functional Renormalization Group in Multi-Band Systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-78824},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Die supraleitenden Eigenschaften von komplexen Materialsystemen, wie den erst k{\"u}rzlich entdeckten Eisen-Pniktiden oder den Strontium-Ruthenaten, sind oftmals durch das Zusammenspiel vieler elektronischer Orbitale bestimmt. Um die Supraleitung in derartigen Systemen besser zu verstehen, entwickeln wir in dieser Arbeit eine Multi-Orbital-Implementierung der funktionalen Renormierungsgruppe und untersuchen die Elektronenpaarung in verschiedenen charakteristischen Materialverbindungen. In den Eisen-Pniktiden finden wir hierbei mehrere Spinfluktuationskan{\"a}le, die eine Elektronenpaarung hervorrufen, sofern die Paarwellenfunktion einen Vorzeichenwechsel zwischen den verschiedenen genesteten Bereichen der Fermifl{\"a}che aufweist. Abh{\"a}ngig von den spezifischen Materialeigenschaften, wie der Dotierung oder der Position des Pniktogenatoms, f{\"u}hren diese Spinfluktuationen dann zu \$s_{\pm}\$-wellenartiger Paarung mit durchg{\"a}ngiger Energiel{\"u}cke oder mit Knoten auf der Fermifl{\"a}che. In manchen F{\"a}llen wird zudem auch \$d\$-wellenartige Paarung induziert, die in der N{\"a}he des {\"U}bergangs zur \$s_{\pm}\$-Symmetrie einen gemischten \$(s+id)\$-Zustand mit gebrochener Zeitinversionssymmetrie aufweist. Diese neuartige Phase zeigt faszinierende Eigenschaften, wie zum Beispiel das spontane Entstehen von Suprastr{\"o}men am Probenrand und um nichtmagnetische St{\"o}rstellen. Auf Grund der durchg{\"a}ngigen Energiel{\"u}cke ist dieser \$(s+id)\$-Zustand energetisch beg{\"u}nstigt. Im Folgenden untersuchen wir zudem auch die elektronischen Instabilit{\"a}ten eines weiteren außergew{\"o}hnlichen Materials -- dotiertes Graphen. Diese rein zweidimensionale Kohlenstoffverbindung ist schon seit mehreren Jahren im Fokus der Festk{\"o}rperforschung und wurde mittlerweile auch durch neuartige experimentelle Verfahren dotiert, ohne die zugrundeliegende hexagonale Gittersturktur merklich zu st{\"o}ren. Eine theoretische Beschreibung dieses Systems erfordert die Ber{\"u}cksichtigung zweier nicht-equivalenter Gitterpl{\"a}tze, was wiederum effektiv als Zwei-Orbital-System aufgefasst werden kann. Durch die besondere Symmetrie der hexagonalen Gitterstruktur sind beide \$d\$-wellenartigen Paarungskan{\"a}le entartet und ahnlich der \$(s+id)\$-Paarung in den Pniktiden finden wir hier eine chirale \$(d+id)\$-Paarung in einem weiten Dotierungsbereich um van-Hove F{\"u}llung. Des Weiteren identifizieren wir Spin-Triplet-Paarung und eine exotische Form der Spindichtewelle, welche beide durch leichte Ver{\"a}nderung der langreichweitigen H{\"u}pfamplituden und Wechselwirkungensparameter realisiert werden k{\"o}nnen. Als drittes Beispiel betrachten wir die Supraleitung in dem Strontium-Ruthenat Sr\$_2\$RuO\$_4\$. Die Besonderheit dieser Materialverbindung liegt in der m{\"o}glichen Realisierung einer chiralen Spin-Triplet Paarung, die wiederum faszinierende Eigenschaften wie die Existenz von halbganzzahligen Flussvortizes mit nicht-Abelscher Vertauschungsstatistik aufweisen w{\"u}rde. Mittels eines mikroskopischen Drei-Orbital-Modells und der Ber{\"u}cksichtigung von Spin-Bahn-Kopplung finden wir hierbei, dass moderate ferromagnetische Spinfluktuationen immer noch ausreichen, um diesen speziellen Paarungszustand anzutreiben. Die berechnete Energiel{\"u}cke zeigt im Weiteren sehr starke Anisotropien auf dem \$d_{xy}\$-Orbital-dominierten Bereich der Fermifl{\"a}che und verschwindet nahezu vollst{\"a}ndig auf den anderen beiden Fermifl{\"a}chen.},
  subject      = {Supraleitung},
  language  = {en}
}
@phdthesis{Tuchscherer2012,
  author    = {Tuchscherer, Philip},
  title     = {A Route to Optical Spectroscopy on the Nanoscale},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-72228},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Time-resolved optical spectroscopy has become an important tool to investigate the dynamics of quantum mechanical processes in matter. In typical applications, a first "pump" pulse excites the system under investigation from the thermal equilibrium to an excited state, and a second variable time-delayed "probe" pulse then maps the dynamics of the excited system. Although advanced nonlinear techniques have been developed to investigate, e.g., coherent quantum effects, all of these techniques are limited in their spatial resolution. The laser focus diameter has a lower bound given by Abbe's diffraction limit, which is roughly half the optical excitation wavelength—corresponding to about 400nm in the presented experiments. In the time-resolved experiments that have been suggested so far, averaging over the sample volume within this focus cannot be avoided. In this thesis, two approaches were developed to overcome the diffraction limit in optical spectroscopy and to enable the investigation of coherent processes on the nanoscale. In the first approach, analytic solutions were found to calculate optimal polarizationshaped laser pulses that provide optical near-field pump-probe pulse sequences in the vicinity of a nanostructure. These near-field pulse sequences were designed to allow excitation of a quantum system at one specific position at a certain time and probing at a different position at a later time. In the second approach, the concept of coherent two-dimensional (2D) spectroscopy, which has had great impact on the investigation of coherent quantum effects in recent years, was combined with photoemission electron microscopy, which yields a spatial resolution well below the optical diffraction limit. Using the analytic solutions, optical near fields were investigated in terms of spectroscopic applications. Near fields that are excited with polarization-shaped femtosecond laser pulses in the vicinity of appropriate nanostructures feature two properties that are especially interesting in the view of spectroscopic applications: On the one hand, control of the spatial distribution of the optical fields is achieved on the order of nanometers. On the other hand, the temporal evolution of these fields can be adjusted on the order of femtoseconds. In this thesis, solutions were found to calculate the optimal polarizationshaped laser pulses that control the near field in a general manner. The main idea to achieve this deterministic control was to disentangle the spatial and temporal near-field control. First, the spatial distribution of the optical near field was controlled by assigning the correct state of polarization for each frequency within the polarization-shaped laser pulse independently. The remaining total phase—not employed for spatial control—was then used for temporal near-field compression, which, in experimental applications, would lead to an enhancement of the nonlinear signal at the respective location. In contrast to the use of optical near fields, where pump-probe sequences themselves are localized below the diffraction limit and the detection does not have to provide the spatial resolution, a different approach was suggested in this thesis to gain spectroscopic information on the nanoscale. The new method was termed "Coherent two-dimensional (2D) nanoscopy" and transfers the concept of "conventional" coherent 2D spectroscopy to photoemission electron microscopy. The pulse sequences used for the investigation of quantum systems in this method are still limited by diffraction. However, the new key concept is to detect locally generated photoelectrons instead of optical signals. This yields a spatial resolution that is well below the optical diffraction limit. In "conventional" 2D spectroscopy a triple-pulse sequence initiates a four wave mixing process that creates a coherence. In a quantum mechanical process, this coherence is converted into a population by emission of an electric field, which is measured in the experiment. Contrarily, in the developed 2D nanoscopy, four-wave mixing is initiated by a quadruple-pulse sequence, which leaves the quantum system in an electronic population. This electronic population carries coherent information about the investigated quantum system and can be mapped with a spatial resolution down to a few nanometers given by the spatial resolution of the photoemission electron microscope. Hence, 2D nanoscopy can be considered a generalization of time-resolved photoemission experiments. In the future, it may be of similar beneficial value for the field of photoemission research as "conventional" 2D spectroscopy has proven to be for optical spectroscopy and nuclear magnetic resonance experiments. In a first experimental implementation of coherent 2D nanoscopy coherent processes on a corrugated silver surface were measured and unexpected long coherence lifetimes could be determined.},
  subject      = {Ultrakurzzeitspektroskopie},
  language  = {en}
}
@phdthesis{BasseLuesebrink2012,
  author    = {Basse-L{\"u}sebrink, Thomas Christian},
  title     = {Application of 19F MRI for in vivo detection of biological processes},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-77188},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {This thesis focuses on various aspects and techniques of 19F magnetic resonance (MR). The first chapters provide an overview of the basic physical properties, 19F MR and MR sequences related to this work. Chapter 5 focuses on the application of 19F MR to visualize biological processes in vivo using two different animal models. The dissimilar models underlined the wide applicability of 19F MR in preclinical research. A subsection of Chapter 6 shows the application of compressed sensing (CS) to 19F turbo-spin-echo chemical shift imaging (TSE-CSI), which leads to reduced measurement time. CS, however, can only be successfully applied when a sufficient signal-to-noise ratio (SNR) is available. When the SNR is low, so-called spike artifacts occur with the CS algorithm used in the present work. However, it was shown in an additional subsection that these artifacts can be reduced using a CS-based post processing algorithm. Thus, CS might help overcome limitations with time consuming 19F CSI experiments. Chapter 7 deals with a novel technique to quantify the B+1 profile of an MR coil. It was shown that, using a specific application scheme of off resonant pulses, Bloch-Siegert (BS)-based B+1 mapping can be enabled using a Carr Purcell Meiboom Gill (CPMG)-based TSE sequence. A fast acquisition of the data necessary for B+1 mapping was thus enabled. In the future, the application of BS-CPMG-TSE B+1 mapping to improve quantification using 19F MR could therefore be possible.},
  subject      = {Kernspintomografie},
  language  = {en}
}
@article{WiessnerRodriguezLastraZiroffetal.2012,
  author    = {Wiessner, M. and Rodriguez Lastra, N. S. and Ziroff, J. and Forster, F. and Puschnig, P. and D{\"o}ssel, L. and M{\"u}llen, K. and Sch{\"o}ll, A. and Reinert, F.},
  title     = {Different views on the electronic structure of nanoscale graphene: aromatic molecule versus quantum dot},
  series = {New Journal of Physics},
  volume    = {14},
  journal   = {New Journal of Physics},
  number    = {113008},
  doi       = {10.1088/1367-2630/14/11/113008},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-130184},
  pages     = {12},
  year      = {2012},
  abstract  = {Graphene's peculiar electronic band structure makes it of interest for new electronic and spintronic approaches. However, potential applications suffer from quantization effects when the spatial extension reaches the nanoscale. We show by photoelectron spectroscopy on nanoscaled model systems (disc-shaped, planar polyacenes) that the two-dimensional band structure is transformed into discrete states which follow the momentum dependence of the graphene Bloch states. Based on a simple model of quantum wells, we show how the band structure of graphene emerges from localized states, and we compare this result with ab initio calculations which describe the orbital structure.},
  language  = {en}
}
@phdthesis{Goepfert2012,
  author    = {G{\"o}pfert, Sebastian},
  title     = {Einzel-Quantenpunkt-Speichertransistor: Experiment und Modellierung},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-80600},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {In dieser Arbeit wurden Einzel-Quantenpunkt-Speichertransistoren im Experiment untersucht und wesentliche Ergebnisse durch Modellierung nachgebildet. Der Einzel-Quantenpunkt-Speichertransistor ist ein Bauelement, welches durch eine neuartige Verfahrensweise im Schichtaufbau und bei der Strukturierung realisiert wurde. Hierbei sind vor allem zwei Teilschritte hervorzuheben: Zum einen wurde das Speicherelement aus positionskontrolliert gewachsenen InAs Quantenpunkten gebildet. Zum anderen wurden durch eine spezielle Trocken{\"a}tztechnik schmale {\"A}tzstrukturen erzeugt, welche sehr pr{\"a}zise an der lateralen Position der Quantenpunkte ausgerichtet war. Durch diese Verfahrensweise war es somit m{\"o}glich, Transistorstrukturen mit einzelnen Quantenpunkten an den charakteristischen Engstellen des Kanals zu realisieren.},
  subject      = {Quantenpunkt},
  language  = {de}
}
@phdthesis{Hartmann2012,
  author    = {Hartmann, Fabian},
  title     = {Elektrooptische Transporteigenschaften und stochastisch aktivierte Prozesse Resonanter Tunneldioden},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-90876},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Im Rahmen der vorliegenden Arbeit wurden elektrooptische Transporteigenschaften und stochastisch aktivierte Prozesse Resonanter Tunneldioden (RTDs) bei Raumtemperatur untersucht. Die RTDs wurden auf dem III-V Halbleitermaterialsystem AlGaAs/GaAs durch Molekularstrahlepitaxie, Elektronenstrahllithographie und trockenchemischen {\"A}tztechniken hergestellt. Im Bereich des negativen differentiellen Leitwerts konnte bistabi-les Schalten und hierbei stochastisch aktivierte Dynamik nichtlinearer Systeme untersucht werden. Die Fl{\"a}chenabh{\"a}ngigkeit der {\"A}tzrate konnte ausgenutzt werden, um RTDs mit einem Stamm und zwei Transport{\"a}sten zu realisieren, welche hinsichtlich ihrer optischen und elektrischen Eigenschaften untersucht wurden. Im ersten experimentellen Abschnitt 3.1 werden die elektrischen Transporteigenschaften Resonanter Tunneldioden bei Raum-temperatur und die Fl{\"a}chenabh{\"a}ngigkeit des koh{\"a}renten und nicht-koh{\"a}renten Elektronen-transports analysiert. Die Realisierung universeller logischer Gatter (NOR und NAND) und deren Rekonfigurierbarkeit durch einen externen Kontrollparameter wird in Abschnitt 3.2 gezeigt. In Abschnitt 3.3 wird die Lichtsensitivit{\"a}t Resonanter Tunneldioden als Photode-tektoren f{\"u}r den sichtbaren Wellenl{\"a}ngenbereich und in Abschnitt 3.4 f{\"u}r die Telekommu-nikationswellenl{\"a}nge bei λ = 1,3 µm demonstriert.},
  subject      = {Resonanz-Tunneldiode},
  language  = {de}
}
@phdthesis{Walter2012,
  author    = {Walter, Stefan},
  title     = {Exploring the Quantum Regime of Nanoelectromechanical Systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-75188},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {This thesis deals with nanoelectromechanical systems in the quantum regime. Nanoelectromechanical systems are systems where a mechanical degree of freedom of rather macroscopic size is coupled to an electronic degree of freedom. The mechanical degree of freedom can without any constraints be modeled as the fundamental mode of a harmonic oscillator. Due to their size and the energy scales involved in the setting, quantum mechanics plays an important role in their description. We investigate transport through such nanomechanical devices where our focus lies on the quantum regime. We use non-equilibrium methods to fully cover quantum effects in setups where the mechanical oscillator is part of a tunnel junction. In such setups, the mechanical motion influences the tunneling amplitude and thereby the transport properties through the device. The electronics in these setups can then be used to probe and characterize the mechanical oscillator through signatures in transport quantities such as the average current or the current noise. The interplay between the mechanical motion and other physical degrees of freedom can also be used to characterize these other degrees of freedom, i.e., the nanomechanical oscillator can be used as a detector. In this thesis, we will show that a nanomechanical oscillator can be used as a detector for rather exotic degrees of freedom, namely Majorana bound states which recently attracted great interest, theoretically as well as experimentally. Again, the quantum regime plays an essential role in this topic. One of the major manifestations of quantum mechanics is entanglement between two quantum systems. Entanglement of quantum systems with few (discrete) degrees of freedom is a well established and understood subject experimentally as well as theoretically. Here, we investigate quantum entanglement between two macroscopic continuous variable systems. We study different setups where it is possible to entangle two nanomechanical oscillators which are not directly coupled to each other. We conclude with reviewing the obtained results and discuss open questions and possible future developments on the quantum aspects of nanomechanical systems.},
  subject      = {Nanoelektromechanik},
  language  = {en}
}
@phdthesis{Fries2012,
  author    = {Fries, Petra},
  title     = {Fabrication and Characterisation of Single-Molecule Transistors},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-74689},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {A primary focus of the semiconductor industry is the miniaturisation of active devices. This work shows an experimental approach to fabricate small three-terminal devices suitable for the characterisation of single molecules. The nanoelectrodes are fabricated by high resolution electron-beam lithography and electromigration. First measurements on buckyball and pentaphenylene molecules are presented.},
  subject      = {Molekularelektronik},
  language  = {en}
}
@phdthesis{Budich2012,
  author    = {Budich, Jan Carl},
  title     = {Fingerprints of Geometry and Topology on Low Dimensional Mesoscopic Systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-76847},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {In this PhD thesis, the fingerprints of geometry and topology on low dimensional mesoscopic systems are investigated. In particular, holographic non-equilibrium transport properties of the quantum spin Hall phase, a two dimensional time reversal symmetric bulk insulating phase featuring one dimensional gapless helical edge modes are studied. In these metallic helical edge states, the spin and the direction of motion of the charge carriers are locked to each other and counter-propagating states at the same energy are conjugated by time reversal symmetry. This phenomenology entails a so called topological protection against elastic single particle backscattering by time reversal symmetry. We investigate the limitations of this topological protection by studying the influence of inelastic processes as induced by the interplay of phonons and extrinsic spin orbit interaction and by taking into account multi electron processes due to electron-electron interaction, respectively. Furthermore, we propose possible spintronics applications that rely on a spin charge duality that is uniquely associated with the quantum spin Hall phase. This duality is present in the composite system of two helical edge states with opposite helicity as realized on the two opposite edges of a quantum spin Hall sample with ribbon geometry. More conceptually speaking, the quantum spin Hall phase is the first experimentally realized example of a symmetry protected topological state of matter, a non-interacting insulating band structure which preserves an anti-unitary symmetry and is topologically distinct from a trivial insulator in the same symmetry class with totally localized and hence independent atomic orbitals. In the first part of this thesis, the reader is provided with a fairly self-contained introduction into the theoretical concepts underlying the timely research field of topological states of matter. In this context, the topological invariants characterizing these novel states are viewed as global analogues of the geometric phase associated with a cyclic adiabatic evolution. Whereas the detailed discussion of the topological invariants is necessary to gain deeper insight into the nature of the quantum spin Hall effect and related physical phenomena, the non-Abelian version of the local geometric phase is employed in a proposal for holonomic quantum computing with spin qubits in quantum dots.},
  subject      = {Topologischer Isolator},
  language  = {en}
}
@phdthesis{Uhlemann2012,
  author    = {Uhlemann, Christoph Frank},
  title     = {Holographic Description of Curved-Space Quantum Field Theory and Gravity},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-74362},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {The celebrated AdS/CFT dualities provide a window to strongly-coupled quantum field theories (QFTs), which are realized in nature at the most fundamental level on the one hand, but are hardly accessible for the standard mathematical tools on the other hand. The prototype examples of AdS/CFT relate classical supergravity theories on (d+1)-dimensional anti-de Sitter space (AdS) to strongly-coupled d-dimensional conformal field theories (CFTs). The AdS spacetimes admit a timelike conformal boundary, on which the dual CFT is defined. In that sense the AdS/CFT dualities are holographic, and this new approach has led to remarkable progress in understanding strongly-coupled QFTs defined on Minkowski space and on the Einstein cylinder. On the other hand, the study of QFT on more generic curved spacetimes is of fundamental interest and non-trivial already for free theories. Moreover, understanding the properties of gravity as a quantum theory remains among the hardest problems to solve in physics. Both of these issues can be studied holographically and we investigate here generalizations of AdS/CFT involving on the lower-dimensional side QFTs on curved backgrounds and as a further generalization gravity. In the first part we expand on the holographic description of QFT on fixed curved backgrounds, which involves gravity on an asymptotically-AdS space with that prescribed boundary structure. We discuss geometries with de Sitter and AdS as conformal boundary to holographically describe CFTs on these spacetimes. After setting up the procedure of holographic renormalization we study the reflection of CFT unitarity properties in the dual bulk description. The geometry with AdS on the boundary exhibits a number of interesting features, mainly due to the fact that the boundary itself has a boundary. We study both cases and resolve potential tensions between the unitarity properties of the bulk and boundary theories, which would be incompatible with a duality. The origin of these tensions is partly in the structure of the geometry with AdS conformal boundary, while another one arises for a particular limiting case where the bulk and boundary descriptions naively disagree. Besides technical challenges, the hierarchy of boundaries for the geometry with AdS conformal boundary offers an interesting option. Namely, having the dual theory on the conformal boundary itself defined on an AdS space offers the logical possibility of implementing a second instance of AdS/CFT. We discuss an appropriate geometric setting allowing for the notion of the boundary of a boundary and identify limitations for such multi-layered dualities. In the second part we consider five-dimensional supergravities whose solutions can be lifted to actual string-theory backgrounds. We work out the asymptotic structure of the theories on asymptotically-AdS spaces and calculate the Weyl anomaly of the dual CFTs. These holographic calculations confirm the expectations from the field-theory side and provide a non-trivial test of the AdS/CFT conjecture. Moreover, building on the previous results we show that in addition to the usual Dirichlet also more general boundary conditions can be imposed. That allows to promote the boundary metric to a dynamical quantity and is expected to yield a holographic description for a conformal supergravity on the boundary. The boundary theory obtained this way exhibits pathologies such as perturbative ghosts, which is in fact expected for a conformal gravity. The fate of these ghosts beyond perturbation theory is an open question and our setting provides a starting point to study it from the string-theory perspective. That discussion leads to a regime where the holographic description of the boundary theory requires quantization of the bulk supergravity. A necessary ingredient of any supergravity is a number of gravitinos as superpartners of the graviton, for which we thus need an effective-QFT description to make sense of AdS/CFT beyond the limit where bulk theory becomes classical. In particular, quantization should be possible not only on rigid AdS, but also on generic asymptotically-AdS spacetimes which may not be Einstein. In the third part we study the quantization and causality properties of the gravitino on Friedmann-Robertson-Walker spacetimes to explicitly show that a consistent quantization can be carried out also on non-Einstein spaces, in contrast to claims in the recent literature. Furthermore, this reveals interesting non-standard effects for the gravitino propagation, which in certain cases is restricted to regions more narrow than the expected light cones.},
  subject      = {AdS-CFT-Korrespondenz},
  language  = {en}
}