@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{Ganse2012,
  author    = {Ganse, Urs},
  title     = {Kinetische Simulationen solarer Typ II Radiobursts},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-73676},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Die Emission solarer Typ II Radiobursts ist ein seit Jahrzehnten beobachtetes Ph{\"a}nomen der heliosph{\"a}rischen Plasmaphysik. Diese Radiobursts, die im Zusammenhang mit der Propagation koronaler Schockfronten auftreten, zeigen ein charakteristisches, zweibandiges Emissionsspektrum. Mit expandierendem Schock driften sie zu niedrigeren Frequenzen. Analytische Theorien dieser Emission sagen nichtlineare Plasmawellenwechselwirkung als Ursache voraus, doch aufgrund des geringen Sonnenabstands der Emissionsregion ist die in-situ Datenlage durch Satellitenmessungen {\"a}usserst schlecht, so dass eine endg{\"u}ltige Verifikation der vorhergesagten Vorg{\"a}nge bisher nicht m{\"o}glich war. Mit Hilfe eines kinetischen Plasma-Simulationscodes nach dem Particle-in-Cell Prinzip wurde in dieser Dissertation die Plasmaumgebung in der Foreshock-Region einer koronalen Schockfront modelliert. Das Propagations- und Kopplungsverhalten elektrostatischer und elektromagnetischer Wellenmoden wurde untersucht. Die vollst{\"a}ndige r{\"a}umliche Information {\"u}ber die Wellenzusammensetzung in der Simulation erlaubt es, die Kinematik nichtlinearer Wellenkopplungen genauestens zu untersuchen. Es zeigte sich ein mit der analytischen Theorie der Drei-Wellen-Wechselwirkung konsistentes Bild der Erzeugung solarer Radiobursts: durch elektromagnetischen Zerfall elektrostatischer Moden kommt es zur Erzeugung fundamentaler, sowie durch Verschmelzung gegenpropagierender elektrostatischer Moden zur Anregung harmonischer Radioemission. Kopplungsst{\"a}rken und Winkelabh{\"a}ngigkeit dieser Prozesse wurden untersucht. Mit dem somit zur Verf{\"u}gung stehenden, numerischen Laborsystem wurde die Parameter-Abh{\"a}ngigkeit der Wellenkopplungen und entstehenden Radioemissionen bez{\"u}glich St{\"a}rke des Elektronenbeams und des solaren Abstandes untersucht.},
  subject      = {Heliosph{\"a}re},
  language  = {de}
}
@phdthesis{Heiligenthal2012,
  author    = {Heiligenthal, Sven},
  title     = {Strong and Weak Chaos in Networks of Semiconductor Lasers with Time-Delayed Couplings},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-77958},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {This thesis deals with the chaotic dynamics of nonlinear networks consisting of semiconductor lasers which have time-delayed self-feedbacks or mutual couplings. These semiconductor lasers are simulated numerically by the Lang-Kobayashi equations. The central issue is how the chaoticity of the lasers, measured by the maximal Lyapunov exponent, changes when the delay time is changed. It is analysed how this change of chaoticity with increasing delay time depends on the reflectivity of the mirror for the self-feedback or the strength of the mutal coupling, respectively. The consequences of the different types of chaos for the effect of chaos synchronization of mutually coupled semiconductor lasers are deduced and discussed. At the beginning of this thesis, the master stability formalism for the stability analysis of nonlinear networks with delay is explained. After the description of the Lang-Kobayashi equations and their linearizations as a model for the numerical simulation of semiconductor lasers with time-delayed couplings, the artificial sub-Lyapunov exponent \$\lambda_{0}\$ is introduced. It is explained how the sign of the sub-Lyapunov exponent can be determined by experiments. The notions of "strong chaos" and "weak chaos" are introduced and distinguished by their different scaling properties of the maximal Lyapunov exponent with the delay time. The sign of the sub-Lyapunov exponent \$\lambda_{0}\$ is shown to determine the occurence of strong or weak chaos. The transition sequence "weak to strong chaos and back to weak chaos" upon monotonically increasing the coupling strength \$\sigma\$ of a single laser's self-feedback is shown for numerical calculations of the Lang-Kobayashi equations. At the transition between strong and weak chaos, the sub-Lyapunov exponent vanishes, \$\lambda_{0}=0\$, resulting in a special scaling behaviour of the maximal Lyapunov exponent with the delay time. Transitions between strong and weak chaos by changing \$\sigma\$ can also be found for the R{\"o}ssler and Lorenz dynamics. The connection between the sub-Lyapunov exponent and the time-dependent eigenvalues of the Jacobian for the internal laser dynamics is analysed. Counterintuitively, the difference between strong and weak chaos is not directly visible from the trajectory although the difference of the trajectories induces the transitions between the two types of chaos. In addition, it is shown that a linear measure like the auto-correlation function cannot unambiguously reveal the difference between strong and weak chaos either. Although the auto-correlations after one delay time are significantly higher for weak chaos than for strong chaos, it is not possible to detect a qualitative difference. If two time-scale separated self-feedbacks are present, the shorter feedback has to be taken into account for the definition of a new sub-Lyapunov exponent \$\lambda_{0,s}\$, which in this case determines the occurence of strong or weak chaos. If the two self-feedbacks have comparable delay times, the sub-Lyapunov exponent \$\lambda_{0}\$ remains the criterion for strong or weak chaos. It is shown that the sub-Lyapunov exponent scales with the square root of the effective pump current \$\sqrt{p-1}\$, both in its magnitude and in the position of the critical coupling strengths. For networks with several distinct sub-Lyapunov exponents, it is shown that the maximal sub-Lyapunov exponent of the network determines whether the network's maximal Lyapunov exponent scales strongly or weakly with increasing delay time. As a consequence, complete synchronization of a network is excluded for arbitrary networks which contain at least one strongly chaotic laser. Furthermore, it is demonstrated that the sub-Lyapunov exponent of a driven laser depends on the number of the incoherently superimposed inputs from unsynchronized input lasers. For networks of delay-coupled lasers operating in weak chaos, the condition \$|\gamma_{2}|<\mathrm{e}^{-\lambda_{\mathrm{m}}\,\tau}\$ for stable chaos synchronization is deduced using the master stability formalism. Hence, synchronization of any network depends only on the properties of a single laser with self-feedback and the eigenvalue gap of the coupling matrix. The characteristics of the master stability function for the Lang-Kobayashi dynamics is described, and consequently, the master stability function is refined to allow for precise practical prediction of synchronization. The prediction of synchronization with the master stability function is demonstrated for bidirectional and unidirectional networks. Furthermore, the master stability function is extended for two distinct delay times. Finally, symmetries and resonances for certain values of the ratio of the delay times are shown for the master stability function of the Lang-Kobyashi equations.},
  subject      = {Halbleiterlaser},
  language  = {en}
}
@phdthesis{Kiesel2012,
  author    = {Kiesel, Maximilian Ludwig},
  title     = {Unconventional Superconductivity in Cuprates, Cobaltates and Graphene: What is Universal and what is Material-Dependent in strongly versus weakly Correlated Materials?},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-76421},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Eine allgemeing{\"u}ltige Theorie f{\"u}r alle unterschiedlichen Arten von unkonventionellen Supraleitern ist immer noch eine der ungel{\"o}sten Kernfragen der Festk{\"o}rperphysik. Momentan ist es nicht einmal bewiesen, dass es {\"u}berhaupt einen gemeinsamen grundlegenden Mechanismus gibt, sondern es m{\"u}ssen vielleicht mehrere verschiedene Ursachen f{\"u}r unkonventionelle Supraleitung ber{\"u}cksichtigt werden. Der Einfluss der Elektron-Phonon-Wechselwirkung ist dabei noch nicht abschließend gekl{\"a}rt. In dieser Dissertation wird ein rein elektronischer Paarungsmechanismus untersucht, in welchem die Paarung durch Spin-Fluktuationen vermittelt wird, was nach dem aktuellen Stand der Forschung auf dem Gebiet der unkonventionellen Supraleiter am wahrscheinlichsten ist. Der Schwerpunkt liegt dabei auf der Bestimmung von Material-unabh{\"a}ngigen Eigenschaften der supraleitenden Phase. Diese k{\"o}nnen durch eine Auswahl sehr unterschiedlicher Systeme herausgearbeitet werden. Eine Untersuchung der Phasendiagramme gibt außerdem Auskunft dar{\"u}ber, welche konkurrierenden Quantenfluktuationen den supraleitenden Zustand abschw{\"a}chen oder verst{\"a}rken. F{\"u}r diese Analyse von sehr unterschiedlichen supraleitenden Materialien ist der Einsatz einer einzelnen numerischen L{\"o}sungsmethode unzureichend. F{\"u}r diese Dissertation ist dies aber kein Nachteil, sondern vielmehr ein großer Vorteil, da der Einsatz verschiedener Techniken die Abh{\"a}ngigkeit der Ergebnisse von der verwendeten Numerik reduziert und dadurch der grundlegende Mechanismus besser untersucht werden kann. Im speziellen werden in dieser Dissertation die Kuprate mit der Variationellen Clustern{\"a}herung ausgewertet, weil die Elektronen hier eine starke Wechselwirkung untereinander besitzen. Besonders die Frage eines m{\"o}glichen Klebstoffs f{\"u}r die Cooper-Paare wird ausf{\"u}hrlich diskutiert, auch mit einer Unterscheidung in retardierte und nicht-retardierte Betr{\"a}ge. Den Kupraten werden das Kobaltat NaCoO sowie Graphen gegen{\"u}bergestellt. Diese Materialien sind jedoch schwach korrelierte Systeme, so dass hier die Funkionelle Renormierungsgruppe als numerisches Grundger{\"u}st dient. Die Ergebnisse sind reichhaltige Phasendiagramme mit vielen verschiedenen langreichweitigen Ordnungen, wie zum Beispiel d+id-wellenartige Supraleitung. Diese bricht die Zeitumkehr-Symmetrie und besitzt eine vollst{\"a}ndige Bandl{\"u}cke, welche im Falle von NaCoO jedoch eine stark Dotierungs-abh{\"a}ngige Anisotropie aufweist. Als letztes wird das Kagome-Gitter allgemein diskutiert, ohne ein konkretes Material zu beschreiben. Hier hat eine destruktive Interferenz zwischen den Elektronen auf verschiedenen Untergittern drastische Auswirkungen auf die Instabilit{\"a}ten der Fermi-Fl{\"a}che, so dass die {\"u}bliche Spin-Dichte-Welle und die damit verbundene d+id-wellenartige Supraleitung unterdr{\"u}ckt werden. Dadurch treten ungew{\"o}hnliche Spin- und Ladungsdichte-Ordnungen sowie eine nematische Pomeranchuck Instabilit{\"a}t hervor. Zusammengefasst bietet diese Dissertation einen Einblick in unterschiedliche Materialklassen von unkonventionellen Supraleitern. Dadurch wird es m{\"o}glich, die Material-spezifischen Eigenschaften von den universellen zu trennen.},
  subject      = {Supraleitung},
  language  = {en}
}
@phdthesis{Lange2012,
  author    = {Lange, Sebastian},
  title     = {Turbulenz und Teilchentransport in der Heliosph{\"a}re - Simulationen von inkompressiblen MHD-Plasmen und Testteilchen -},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-74012},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {Die Herkunft hochenergetischer solarer Teilchen konnte in den vergangenen Jahren eindeutig auf Schockbeschleunigung an koronalen Masseausw{\"u}rfen zur{\"u}ckgef{\"u}hrt werden. Durch resonante Interaktionen zwischen Wellen und Teilchen werden zum einen geladene Teilchen unter Ver{\"a}nderung ihrer Energie gestreut, zum anderen wird die Dynamik der Plasmawellen in solchen Beschleunigungsregionen durch diese Prozesse von selbstgenerierten Wellenmoden maßgeblich beeinflusst. Mittels numerischer Modellierungen wurden im Rahmen dieser Arbeit die grundlegenden physikalischen Regimes der Turbulenz und des Teilchentransports beschrieben. Die Simulation der Plasmadynamik bedient sich der Methodik der Magnetohydrodynamik, wohingegen kinetische Einzelteilchen durch die elementaren Bewegungsgleichungen der Elektrodynamik berechnet werden. Es konnten die Turbulenztheorien von Goldreich und Sridhar unter heliosph{\"a}rischen Bedingungen bei drei solaren Radien best{\"a}tigt werden. Vor allem zeigten sich Hinweise f{\"u}r das Erreichen der kritischen Balance, einem Schl{\"u}sselparameter dieser Theorien. Weiterhin werden Ergebnisse der dynamischen Entwicklung angeregter Wellenmoden pr{\"a}sentiert, in denen die Bedeutsamkeit f{\"u}r die gesamte Turbulenz gezeigt werden konnte. Als zentraler Prozess bei hohen Energien hat sich das wave-steepening herausgestellt, das als effizienter Energietransportmechanismus in paralleler Richtung zum Hintergrundmagnetfeld identifiziert wurde und somit turbulente Strukturen bei hohen parallelen Wellenzahlen erkl{\"a}rt, deren Entstehung das Goldreich-Sridhar Modell nicht beschreiben kann. Dar{\"u}ber hinaus wurden grundlegende Erkenntnisse {\"u}ber die quasilineare Theorie des Teilchentransports erzielt. Im Speziellen konnte ein tieferes Verst{\"a}ndnis f{\"u}r die Interpretation der Diffusionskoeffizienten von Welle-Teilchen Wechselwirkungen erlangt werden. Simulationen zur Streuung an angeregten Wellenmoden zeigten erstmals komplexe resonante Strukturen die im Rahmen analytischer Modelle nicht mehr ad{\"a}quat beschrieben werden k{\"o}nnen.},
  subject      = {Heliosph{\"a}re},
  language  = {de}
}
@phdthesis{Luitz2012,
  author    = {Luitz, David J.},
  title     = {Numerical methods and applications in many fermion systems},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-75927},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {This thesis presents results covering several topics in correlated many fermion systems. A Monte Carlo technique (CT-INT) that has been implemented, used and extended by the author is discussed in great detail in chapter 3. The following chapter discusses how CT-INT can be used to calculate the two particle Green's function and explains how exact frequency summations can be obtained. A benchmark against exact diagonalization is presented. The link to the dynamical cluster approximation is made in the end of chapter 4, where these techniques are of immense importance. In chapter 5 an extensive CT-INT study of a strongly correlated Josephson junction is shown. In particular, the signature of the first order quantum phase transition between a Kondo and a local moment regime in the Josephson current is discussed. The connection to an experimental system is made with great care by developing a parameter extraction strategy. As a final result, we show that it is possible to reproduce experimental data from a numerically exact CT-INT model-calculation. The last topic is a study of graphene edge magnetism. We introduce a general effective model for the edge states, incorporating a complicated interaction Hamiltonian and perform an exact diagonalization study for different parameter regimes. This yields a strong argument for the importance of forbidden umklapp processes and of the strongly momentum dependent interaction vertex for the formation of edge magnetism. Additional fragments concerning the use of a Legendre polynomial basis for the representation of the two particle Green's function, the analytic continuation of the self energy for the Anderson Kane Mele Model, as well as the generation of test data with a given covariance matrix are documented in the appendix. A final appendix provides some very important matrix identities that are used for the discussion of technical details of CT-INT.},
  subject      = {Fermionensystem},
  language  = {en}
}
@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{Ruegamer2012,
  author    = {R{\"u}gamer, Stefan},
  title     = {Multi-Wavelength Observations of the high-peaked BL Lacertae objects 1ES 1011+496 and 1ES 2344+514},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-77846},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {BL Lacertae objects belong to the most luminous sources in the Universe. They represent a subclass of active galactic nuclei with a spectrum that is dominated by non-thermal emission, extending from radio wavelengths to tera electronvolt (TeV) energies. The emission is strongly variable on time scales of years down to minutes, and arises from relativistic jets pointing at small angles to the line of sight of the observer, which is the reason for naming them "blazars". Blazars are the dominant extragalactic source class in the radio, microwave and gamma-ray regime, are prime candidates for the origin of the Cosmic Rays and excellent laboratories to study black hole and jet physics as well as relativistic effects. Despite more than 20 years of observational efforts, the physical mechanisms driving their emission are not yet fully understood. So far, studies of their broad-band continuum emission were mostly concentrated on bright, flaring states. However, for a better understanding of the central engine powering the jets, the bias from flux-limited observations of the past must be overcome and their long-term average continuum spectral energy distributions (SEDs) must be determined. This work presents the first simultaneous multi-wavelength campaigns from the radio to the TeV regime of two high-frequency peaked BL Lacertae objects known to emit at TeV energies. The first source, 1ES 1011+496, was observed between February and May 2008, the second one, 1ES 2344+514, between September 2008 and February 2009. The extensive observational campaigns were organised independently from an external trigger for the presence of a flaring state. Since the duty cycle of major flux outbursts is known to be rather low, the campaigns were expected to yield SEDs representative of the long-term average emission. Central for this thesis is the analysis of data obtained with the MAGIC Cherenkov telescope, measuring energy spectra and light curves from ~0.1 to ~10 TeV. For the remaining instruments, observation time was proposed and additional data was organised by collaboration with the instrument teams by the author of this work. Such data was obtained mostly in a fully reduced state. Individual light curves are investigated as well as combined in a search for inter-band correlations. The data of both sources reveal a notable lack of a correlation between the emission at radio and optical wavelengths, indicating that the radio and short-wavelength emission arise in different regions of the jet. Quasi-simultaneous SEDs of two different flux states are observationally determined and described by a one-zone as well as a self-consistent two-zone synchrotron self-Compton model. First approaches to model the SEDs by means of a Chi2 minimisation technique are briefly discussed. The SEDs and the resulting model parameters, characterising the physical conditions in the emission regions, are compared to archival data. Though the models can describe the data well, for 1ES 1011+496 the model parameters indicate that in addition to the synchrotron and inverse-Compton emission of relativistic electrons, emission due to accelerated protons seems to be required. The SEDs of 1ES 2344+514 reveal one of the lowest activity states ever detected from the source. Despite that, the model parameters are not indicative of a distinct quiescent state, which may be caused by the degeneracy of the different parameters in one-zone models. Moreover, indications accumulate that the radiation can not be attributed to a single emission region. The results disfavour some of the current blazar classification schemes and the so-called "blazar sequence", emphasising the need for a more realistic explanation of the systematics of the blazar SEDs in terms of fundamental parameters.},
  subject      = {Blazar},
  language  = {en}
}
@phdthesis{Schelter2012,
  author    = {Schelter, J{\"o}rg},
  title     = {The Aharonov-Bohm effect and resonant scattering in graphene},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-74662},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2012},
  abstract  = {In this thesis, the electronic transport properties of mesoscopic condensed matter systems based on graphene are investigated by means of numerical as well as analytical methods. In particular, it is analyzed how the concepts of quantum interference and disorder, which are essential to mesoscopic devices in general, are affected by the unique electronic and transport properties of the graphene material system. We consider the famous Aharonov-Bohm effect in ring-shaped transport geometries, and, besides providing an overview over the recent developments on the subject, we study the signatures of fundamental phenomena such as Klein tunneling and specular Andreev reflection, which are specific to graphene, in the magnetoconductance oscillations. To this end, we introduce and utilize a variant of the well-known recursive Green's function technique, which is an efficient numerical method for the calculation of transport observables in effectively non-interacting open quantum systems in the framework of a tight binding model. This technique is also applied to study the effects of a specific kind of disorder, namely short-range resonant scatterers, such as strongly bound adatoms or molecules, that can be modeled as vacancies in the graphene lattice. This numerical analysis of the conductance in the presence of resonant scatterers in graphene leads to a non-trivial classification of impurity sites in the graphene lattice and is further substantiated by an independent analytical treatment in the framework of the Dirac equation. The present thesis further contains a formal introduction to the topic of non-equilibrium quantum transport as appropriate for the development of the numerical technique mentioned above, a general introduction to the physics of graphene with a focus on the particular phenomena investigated in this work, and a conclusion where the obtained results are summarized and open questions as well as potential future developments are highlighted.},
  subject      = {Graphen},
  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}
}