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The ab-initio molecular dynamics framework has been the cornerstone of computational solid state physics in the last few decades. Although it is already a mature field it is still rapidly developing to accommodate the growth in solid state research as well as to efficiently utilize the increase in computing power. Starting from the first principles, the ab-initio molecular dynamics provides essential information about structural and electronic properties of matter under various external conditions. In this thesis we use the ab-initio molecular dynamics to study the behavior of BaFe2As2 and CaFe2As2 under the application of external pressure. BaFe2As2 and CaFe2As2 belong to the family of iron based superconductors which are a novel and promising superconducting materials. The application of pressure is one of two key methods by which electronic and structural properties of iron based superconductors can be modified, the other one being doping (or chemical pressure). In particular, it has been noted that pressure conditions have an important effect, but their exact role is not fully understood. To better understand the effect of different pressure conditions we have performed a series of ab-initio simulations of pressure application. In order to apply the pressure with arbitrary stress tensor we have developed a method based on the Fast Inertial Relaxation Engine, whereby the unit cell and the atomic positions are evolved according to the metadynamical equations of motion. We have found that the application of hydrostatic and c axis uniaxial pressure induces a phase transition from the magnetically ordered orthorhombic phase to the non-magnetic collapsed tetragonal phase in both BaFe2As2 and CaFe2As2. In the case of BaFe2As2, an intermediate tetragonal non-magnetic tetragonal phase is observed in addition. Application of the uniaxial pressure parallel to the c axis reduces the critical pressure of the phase transition by an order of magnitude, in agreement with the experimental findings. The in-plane pressure application did not result in transition to the non-magnetic tetragonal phase and instead, rotation of the magnetic order direction could be observed. This is discussed in the context of Ginzburg-Landau theory. We have also found that the magnetostructural phase transition is accompanied by a change in the Fermi surface topology, whereby the hole cylinders centered around the Gamma point disappear, restricting the possible Cooper pair scattering channels in the tetragonal phase. Our calculations also permit us to estimate the bulk moduli and the orthorhombic elastic constants of BaFe2As2 and CaFe2As2.
To study the electronic structure in systems with broken translational symmetry, such as doped iron based superconductors, it is necessary to develop a method to unfold the complicated bandstructures arising from the supercell calculations. In this thesis we present the unfolding method based on group theoretical techniques. We achieve the unfolding by employing induced irreducible representations of space groups. The unique feature of our method is that it treats the point group operations on an equal footing with the translations. This permits us to unfold the bandstructures beyond the limit of translation symmetry and also formulate the tight-binding models of reduced dimensionality if certain conditions are met. Inclusion of point group operations in the unfolding formalism allows us to reach important conclusions about the two versus one iron picture in iron based superconductors.
And finally, we present the results of ab-initio structure prediction in the cases of giant volume collapse in MnS2 and alkaline doped picene. In the case of MnS2, a previously unobserved high pressure arsenopyrite structure of MnS2 is predicted and stability regions for the two competing metastable phases under pressure are determined. In the case of alkaline doped picene, crystal structures with different levels of doping were predicted and used to study the role of electronic correlations.
The phylogeny of the genus Gazella and the phylogeography and population genetics of arabian species
(2014)
Biodiversity is caused by a fundamental evolutionary process: speciation. When species can spread into new habitats and are allowed to colonize new ecological niches, speciation can become accelerated and is then called radiation. This can happen, e.g., when formerly separated land masses become connected. A prime example of such a scenario is the Arabian Peninsula that connects Africa and Asia since the Oligocene (approx. 30 Ma ago). Since then, the peninsula promoted several faunal exchanges between both continents. The mammalian genus Gazella is an excellent candidate for investigating this faunal exchange. Species are distributed on both, the African and Asian continent as well as on the Arabian Peninsula that is located in between. The aim of my thesis was to cast new light on the evolution and speciation of the genus and, furthermore, to evaluate the currently problematic taxonomy to infer suggestions for improved conservation actions for threatened gazelle species. Therefore, I investigated the taxon Gazella genetically and identified factors that promoted the speciation of this diverse genus. I assessed intraspecific genetic variability for species that inhabited the Arabian Peninsula to infer the past demography of those species and to estimate the history of species divergence and past population parameters.
In the first part of my thesis I inferred a mitochondrial phylogeny based on cytochrome b gene sequences using samples of all nine extant species of Gazella and also of closely related taxa (chapter 2). Besides the monophyly of the genus Gazella two reciprocally monophyletic clades were detected that evolved in allopatry: one predominantly African and one predominantly Asian clade. Within both clades species pairs could be inferred with species being ecologically adapted to different habitats: one species is a desert-dweller (probably the ancestral character state combination), while the other one is adapted to rather mountainous and humid habitats. These adaptations also correlate with the behavior of the species with the mountainous forms being sedentary, territorial and living in small groups and the desert forms being migratory, non-territorial and living in larger herds.
The second part of my thesis focuses on the Arabian gazelle species. In a study about G. subgutturosa I could show that the Arabian form G. marica (sand gazelle)—previously recognized as a subspecies of G. subgutturosa—is genetically distinct from the nominate form (chapter 3). Moreover, a phylogenetic tree based on cytochrome b gene sequences revealed a polyphyly of G. subgutturosa and G. marica with sand gazelles being more closely related to G. leptoceros and G. cuvieri of North Africa. Consequently, I suggested the restoration to full species level for G. marica corroborating earlier conservation practices of breeding both taxa separately in captivity.
In case of G. dorcas such a genetic differentiation could not be detected (chapter 4). Despite the large distribution range from Mali in the west to Saudi Arabia in the east only low genetic variation was detectable in mitochondrial sequence data. Statistically parsimony network analyses revealed pronounced haplotype sharing across regions. Using a coalescence approach I observed a steep population decline that started about 25,000 years ago and which is still ongoing. The decline could be correlated with human hunting activities in the Sahara. Hence, hunting of G. dorcas (already in ancient times) had a much larger impact on gazelle populations than previously thought and even led to the extinction of the Arabian form of G. dorcas.
In chapter 5 of my thesis I provided a rigorous test to genetically distinguish between the potential species G. gazella and G. arabica. Previously recognized as a single species mitochondrial sequence analyses provided first hints for the separation of both taxa. But without the investigation of nuclear loci the observed pattern could also be the result of male biased dispersal combined with female philopatry. Therefore, I amplified mitochondrial sequence markers and nuclear microsatellite loci for both taxa and found support for the earlier view of two separate species. No signs of recurrent gene flow could be detected between neighboring populations of G. arabica and G. gazella. The split of both species could be estimated one million years ago and the recommendation of breeding both taxa separately in captivity for conservation purposes is fully justified.
Several populations of G. arabica suffer from a severe decline. In chapter 6 I asked whether the population occurring on the Farasan archipelago—being at stable individual numbers for decades—may serve as potential source for future reintroduction on the Arabian mainland, although the gazelles show a reduced body size. Analyzing the genetic differentiation of Farasan gazelles, a genetic cluster could be inferred being endemic to the archipelago. However, only approx. 70% of Farasan individuals were assigned to this specific cluster, while the others showed at least intermediate or even complete assignment to the mainland cluster. This indicates ongoing introgression that is probably mediated by human translocations of gazelles from and onto the islands. Considering the uniform dwarfism of Farasan gazelles, reasons for the smaller body size might be direct consequences of resource limitations, i.e., phenotypic plasticity. If the population decline on the mainland will hold on Farasan gazelles could serve as stocks for future reintroductions.
Quarks and gluons are the building blocks of all hadronic matter, like protons and neutrons. Their interaction is described by Quantum Chromodynamics (QCD), a theory under test by large scale experiments like the Large Hadron Collider (LHC) at CERN and in the future at the Facility for Antiproton and Ion Research (FAIR) at GSI. However, perturbative methods can only be applied to QCD for high energies. Studies from first principles are possible via a discretization onto an Euclidean space-time grid. This discretization of QCD is called Lattice QCD (LQCD) and is the only ab-initio option outside of the high-energy regime. LQCD is extremely compute and memory intensive. In particular, it is by definition always bandwidth limited. Thus—despite the complexity of LQCD applications—it led to the development of several specialized compute platforms and influenced the development of others. However, in recent years General-Purpose computation on Graphics Processing Units (GPGPU) came up as a new means for parallel computing. Contrary to machines traditionally used for LQCD, graphics processing units (GPUs) are a massmarket product. This promises advantages in both the pace at which higher-performing hardware becomes available and its price. CL2QCD is an OpenCL based implementation of LQCD using Wilson fermions that was developed within this thesis. It operates on GPUs by all major vendors as well as on central processing units (CPUs). On the AMD Radeon HD 7970 it provides the fastest double-precision D= kernel for a single GPU, achieving 120GFLOPS. D=—the most compute intensive kernel in LQCD simulations—is commonly used to compare LQCD platforms. This performance is enabled by an in-depth analysis of optimization techniques for bandwidth-limited codes on GPUs. Further, analysis of the communication between GPU and CPU, as well as between multiple GPUs, enables high-performance Krylov space solvers and linear scaling to multiple GPUs within a single system. LQCD calculations require a sampling of the phase space. The hybrid Monte Carlo (HMC) algorithm performs this. For this task, a single AMD Radeon HD 7970 GPU provides four times the performance of two AMD Opteron 6220 running an optimized reference code. The same advantage is achieved in terms of energy-efficiency. In terms of normalized total cost of acquisition (TCA), GPU-based clusters match conventional large-scale LQCD systems. Contrary to those, however, they can be scaled up from a single node. Examples of large GPU-based systems are LOEWE-CSC and SANAM. On both, CL2QCD has already been used in production for LQCD studies.
Terrestrial climate and ecosystem evolution during ‘Greenhouse Earth’ phases of the early Paleogene remain incompletely known. Particularly, paleobotanical records from high southern latitudes are giving only limited insights into the Paleocene and early Eocene vegetation of the region. Hence, data from continuous well-calibrated sequences are required to make progress with the reconstruction of terrestrial climate and ecosystem dynamics from the southern latitudes during the early Paleogene.
In order to elucidate the terrestrial conditions from the high southern latitudes during the early Paleogene, terrestrial palynology was applied in the present study to two well-dated deep-marine sediment cores located at the Australo-Antarctic region: (i) IODP Site U1356 (Wilkes Land margin, East Antarctica) and (ii) ODP Site 1172 (East Tasman Plateau, southwest Pacific Ocean). The studied sequence from IODP Site U1356 comprises mid-shelfal sediments from the early to middle Eocene (53.9 – 46 million years ago [Ma]). For the ODP Site 1172, the studied succession is characterized by sediments deposited in shallow marine environments of the middle Paleocene to the early Eocene (60.7 – 54.2 Ma).
Based on the obtained pollen and spores (sporomorphs) results from the studied sequences of Site U1356 and Site 1172, this study aims to: (1) decipher the terrestrial climate conditions along the Australo-Antarctic region from the middle Paleocene to the middle Eocene; (2) evaluate the structure, diversity and compositional patterns of forests that throve in the Australo-Antarctic region during the early Paleogene; (3) understand the response of forests from the high southern latitudes to the climate dynamics from the early Paleogene; (4) establish a connection between the generated terrestrial palynomorph data and published Sea Surface Temperatures (SSTs) from the same cores.
To decipher the terrestrial climatic conditions on the Australo-Antarctic region, this study relies on the nearest living relative (NLR) concept that assumes that fossil taxa have similar climate requirements as their modern counterparts. This approach was applied to the sporomorph results of Site U1356 and Site 1172, following mainly the bioclimatic analysis. With regard to the structure and diversity patterns of the vegetation from the same region, the present study presents combined qualitative (i.e., reconstruction of the vegetation based mainly on the habitats of the known living relatives) and quantitative (i.e., application of ordination techniques, rarefaction and diversity indices) analyses of the fossil sporomorphs results.
The overall results from the paleoclimatic and vegetation reconstruction approaches applied in the present study, indicate that temperate and paratropical forests during the early Paleogene throve under different climatic conditions on the Wilkes Land margin and on Tasmania, at paleolatitudes of ∼70°S and ∼65°S, respectively.
Specifically, the sporomorph results from Site U1356, suggest that a highly diverse forest similar to present-day forests from New Caledonia was thriving on Antarctica during the early Eocene (53.9 – 51.9 Ma). These forests were characterized by the presence of termophilous taxa that are restricted today to tropical and subtropical settings, notably Bombacoideae, Strasburgeria, Beauprea, Spathiphyllum, Anacolosa and Lygodium. In combination with MBT/CBT paleotemperature results, they provide strong evidence for near-tropical warmth at least in the coastal lowlands along the Wilkes Land margin. The coeval presence of frost tolerant taxa such as Nothofagus, Araucariaceae and Podocarpaceae during the early Eocene on the same record suggests that paratropical forests were thriving along the Wilkes Land margin. Due to the presence of this kind of vegetation, it is possible to suggest that forests in this region were subject to a climatic gradient related to differences in elevation and/or the proximity to the coastline.
By the middle Eocene, the paratropical forests that characterized the vegetation of the early Eocene on the Wilkes Land margin were replaced by low diversity temperate forests dominated by Nothofagus, and similar to present-day cool-temperate forests from New Zealand. The dominance of these forests and the absence of thermophilous elements together with the lower temperatures suggested by the MBT/CBT and the sporomorph-based temperatures indicate consistently cooler conditions during this time interval.
With regard to the sporomorph results of Site 1172, this study suggests that three vegetation types were thriving on Tasmania from the middle Paleocene to the early Eocene under different climatic conditions. During the middle to late Paleocene, warm-temperate forests dominated by Podocarpaceae and Araucariaceae were the prevailing vegetation on Tasmania. The dominance of these forests was interrupted by the transient predominance of cool-temperate forests dominated by Nothofagus and Araucariaceae across the middle/late Paleocene transition interval (~59.5 to ~59.0 Ma). This cool-temperate forest was characterized by a lack of frost-sensitive elements (i.e., palms and cycads) indicating cooler conditions with harsher winters on Tasmania during this time interval. By the early Eocene, and linked with the Paleocene Eocene Thermal Maximum (PETM), Paleocene temperate forests dominated by gymnosperms were replaced by paratropical rainforests with the remarkable presence of the tropical mangrove palm Nypa during the PETM and the earliest Eocene. The overall results from Site U1356 and Site 1172, provide a new assessment of the terrestrial climatic conditions in the Australo-Antarctic region for validating climate models and understanding the response of high-latitude terrestrial ecosystems to the climate dynamics of the early Paleogene on southern latitudes.
The climatic conditions in the higher latitudes during the early Paleogene were further unravelled by comparing the obtained terrestrial and marine results. The integration of the obtained sporomorph data with previously published TEX86-based SSTs from Site 1172 documents that the vegetation dynamics were closely linked with the temperature evolution from the Australo-Antarctic region. Moreover, the comparison of TEX86-based SSTs and sporomorph-based climatic estimations from Site 1172 suggests a warm-season bias of both calibrations of TEX86 (i.e., TEX86Hand TEX86H), when this proxy is applied to high southern latitudes records of the early Paleogene.
Die zentralen Objekte der Dissertation sind Translationsflächen. Dabei handelt es sich um Riemann’sche Flächen, die aus in die euklidische Ebene eingebetteten Polygonen durch Verkleben von parallelen gleichlangen Seiten entstehen. Zwei Translationsflächen sind gleich, wenn es möglich ist, die Polygone durch ”Zerschneiden und mittels Translationen neu Zusammenkleben“ ineinander zu überführen. Die Gruppe GL_2(R) operiert auf der Menge der Translationsflächen via der linearen Abbildungen auf den Polygonen. Der Stabilisator einer Translationsfläche X unter dieser Operation wird die Veech-Gruppe von X genannt und mit SL(X) bezeichnet. Die Veech-Gruppe ist eine diskrete Untergruppe von SL_2(R) und damit eine Fuchs’sche Gruppe.
Fuchs’sche Gruppen werden je nach ihrer Limesmenge in elementare und nicht-elementare Gruppen eingeteilt. Letztere wiederum unterteilt man in Gruppen erster oder zweiter Art. Fuchs’sche Gruppen mit endlichem co-Volumen heißen Gitter und sind genau die endlich erzeugten Gruppen erster Art. Translationsflächen, deren Veech-Gruppe ein Gitter ist, heißen Veech-Flächen und sind von besonderem Interesse, da für sie die Veech Alternative gilt.
Ein feineres Maß für die Größe einer Fuchs’schen Gruppe ist der kritische Exponent. Er ist definiert als das Infimum aller reellen Zahlen, für die die Poincaré Reihe konvergiert und liegt für alle unendlichen Fuchs’schen Gruppen zwischen 0 und 1. Hauptziel der Dissertation ist der Beweis von Theorem 1. Es gibt Translationsflächen, für die der kritische Exponent ihrer Veech-Gruppe echt zwischen 1/2 und 1 liegt.
Der kritische Exponent von elementaren Gruppen ist höchstens 1/2, Translationsflächen mit elementaren Veech-Gruppen sind also als Kandidaten für das Theorem ausgeschlossen. Der kritische Exponent von Gittern ist 1. Also scheiden auch Veech-Flächen für das Theorem aus.
Bis zum Jahr 2003 waren Gitter die einzigen bekannten nicht-elementaren Veech-Gruppen. McMullen klassifizierte die Veech-Flächen vom Geschlecht 2 und zeigte, dass jede solche Fläche, die nur eine Singularität besitzt, in der GL_2(R)-Bahn der Fläche L_D liegt, die aus einem L-förmigen Polygon mit geeigneten von D abhängigen Seitenlängen entsteht.
Während auch heute noch keine Translationsfläche mit Veech-Gruppe zweiter Art bekannt ist, fanden McMullen und unabhängig davon Hubert und Schmidt Konstruktionen unendlich erzeugter Veech-Gruppen erster Art. Eine Abschätzung des kritischen Exponenten dieser Gruppen war 10 Jahre lang eine wichtige offene Frage, die nun durch Theorem 1 beantwortet wird.
Zentral in der Konstruktion von Hubert und Schmidt sind spezielle Punkte, nämlich Verbindungspunkte. Hubert und Schmidt konstruieren Translationsflächen, deren Veech-Gruppen kommensurabel zum Stabilisator SL(X;P) von P sind und damit den gleichen kritischen Exponenten haben. Für Verbindungspunkte mit unendlicher SL(X)- Bahn (diese Punkte heißen nicht-periodisch) ist SL(X;P) unendlich erzeugt und von erster Art.
Wir zeigen Theorem 1, indem wir zeigen, dass für jedes D kongruent 0 mod 4, (kein Quadrat), und jeden nicht-periodischen Verbindungspunkt P in L_D der kritische Exponent der Gruppe SL(L_D;P) echt zwischen 1/2 und 1 liegt.
Eine natürliche Frage in diesem Zusammenhang ist die Abhängigkeit von P: Punkte Q in der SL(L_D)-Bahn von P sind auch er nicht-periodische Verbindungspunkte und die zugehö̈rigen Gruppen SL(L_D;P) und SL(L_D;Q) sind konjugiert zueinander. Daher widmen wir uns in Kapitel 4 der Bestimmung der Bahnen nicht-periodischer Verbindungspunkte.
Die Verbindungspunkte haben die Form P=(x_r+x_iw;y_r+y_iw) mit x_r,x_i,y_r,y_i aus Q. Wir zeigen, dass der Hauptnenner N(P) dieser (gekürzten) Brüche eine Invariante der Bahn ist. Daraus folgt:
Theorem 2. Es gibt unendlich viele verschiedene Bahnen von Verbindungspunkten von L_D.
Wir kennen die Operation der horizontalen und der vertikalen Scherungen A und B aus SL(L_D). Im Spezialfall D=8 erzeugen diese beiden Elemente die ganze Gruppe und wir geben je ein Verfahren an, um eine untere und eine obere Schranke an die Anzahl der Bahnen von nicht-periodischen Verbindungspunkten P mit fixiertem Hauptnenner N(P) zu finden. Damit zeigen wir:
Theorem 3. Die Menge der Verbindungspunkte P mit festem Wert N(P) zerfällt in eine endliche Anzahl von SL(L_8)-Bahnen.
Im Beweis von Theorem 1 ist es nötig, die Nicht-Mittelbarkeit eines Graphen zu zeigen. Da wir nur sehr wenige Informationen über dessen Struktur in unserer konkreten Situation haben, entwickeln wir in Kapitel 1 die folgende Methode:
Theorem 4. Sei G ein Graph, den man durch Weglassen von Kanten in einen Wald G′ ohne Blätter überführen kann, bei dem das Supremum der Längen von zusammenhängenden Valenz-2-Teilgraphen von G′ beschränkt ist. Dann ist G nicht mittelbar.
Um diese Methode anzuwenden, ordnen wir jeder Ecke P von G ein Komplexitätsmaß s(P) zu und weisen nach, dass dieser Wert für die Operation von Worten in A- und B-Potenzen mit wachsender Wortlänge ”tendenziell wächst“.
During the last decade of the 20th century, the field of mass spectrometry has seen a revolutionary change in its application and scope. The introduction of soft ionization methods for the analysis of biological molecules has expanded the area of mass spectrometry from its early roots in the analysis of inorganic and organic species into the fields of biology and medicine.
Today, the use of the mass spectrometry is extended to a wide range of applications in biotechnology and pharmaceutical industry, in geological, environmental and clinical research. In biochemistry, the principles of mass spectrometry are, however, broadly applicable in accurate molecular weight determination, reaction monitoring, amino acid sequencing, oligonucleotide sequencing and protein structure.
In order to carry out their biological activities, proteins interact most often to each other and form transient or stable complexes. In addition, some proteins specifically interact also with other proteins or with non-protein molecules, such as DNA, RNA or metabolites, these interactions being critical for their function. Hence, defining the composition of protein complexes, as well as understanding how protein complexes are assembled and regulated yield invaluable insights into protein function. Coupled with an isolation technique to purify a specific protein complex of interest, mass spectrometry can rapidly and reliably identify the components of complexes. In addition, quantitative MS techniques offer the possibility of studying dynamically regulated interactions....