| Preface | 4 |
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| Contents | 7 |
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| Physics | 12 |
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| Spin-Liquid Phase in the Hubbard Model on the Honeycomb Lattice | 15 |
| Overview | 15 |
| Introduction | 16 |
| Model and Method | 17 |
| Results | 19 |
| Discussion | 24 |
| References | 26 |
| Massive and Massless Four-Loop Integrals | 28 |
| Introduction | 28 |
| Further Development of ParFORM | 29 |
| Massless Four-Loop Integrals | 32 |
| Massive Four-Loop Integrals | 34 |
| References | 35 |
| Ligand Protected Gold Alloy Clusters as Superatoms | 38 |
| Introduction | 38 |
| Methods | 39 |
| Doped Gold Clusters | 39 |
| Nickel-Carbonyl Protected Superatoms | 43 |
| Conclusions | 48 |
| References | 48 |
| The Chiral Critical Surface of QCD | 51 |
| Introduction | 51 |
| The Binder Cumulant and Universality | 53 |
| Chiral Critical Surface, Nf=3, Nt=4 | 55 |
| Chiral Critical Surface, Nf=2+1, Nt=4 | 56 |
| Results for Nf=3 and Nt=6 | 56 |
| Simulation Details | 57 |
| Conclusions | 58 |
| References | 58 |
| Mesoscopic Simulations of Polyelectrolyte Electrophoresis in Nanochannels | 60 |
| Introduction | 60 |
| Dissipative Particle Dynamics | 61 |
| The Software Package ESPResSo | 62 |
| Polyelectrolyte Electrophoresis in Microchannels | 63 |
| General Theory | 63 |
| Simulation Details | 65 |
| Results | 66 |
| Summary | 72 |
| References | 74 |
| The SuperN-Project: An Update on Core-Collapse Supernova Simulations | 75 |
| Introduction | 75 |
| Numerical Models | 76 |
| History and Constraints | 76 |
| The Mathematical Model | 78 |
| ``Ray-by-Ray Plus'' Method for the Neutrino Transport Problem | 78 |
| Parallelization | 82 |
| Recent Results and Ongoing Work | 84 |
| Relativistic Supernova Models | 84 |
| Simulations of Neutron Star Cooling | 85 |
| Conclusions and Outlook | 87 |
| References | 88 |
| Higgs Boson Mass Bounds from a Chirally Invariant Lattice Higgs-Yukawa Model | 90 |
| Introduction | 90 |
| The SU(2)LSU(2)R Invariant Higgs-Yukawa Model | 91 |
| Implementation, Performance, and Parallelization | 94 |
| Results | 98 |
| The Higgs Boson Mass Bounds | 99 |
| Preliminary Data on the Effects of a Heavy Fourth Generation | 101 |
| Resonance Parameters of the Higgs Boson | 102 |
| Summary and Outlook | 104 |
| References | 105 |
| Dust, Chemistry | 105 |
| 108 | 105 |
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| Introduction | 108 |
| Numerical Code | 110 |
| Model Description | 111 |
| Simulation Results | 112 |
| Flow Structure | 112 |
| Time History | 113 |
| Vertical Structure | 115 |
| Turbulent Saturation Level | 117 |
| Ressources Used | 118 |
| Conclusion | 118 |
| 119 | 118 |
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| References | 120 |
| Solid State Physics | 122 |
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| Organic-Metal Interface: Adsorption of Cysteine on Au(110) from First Principles | 124 |
| Introduction | 124 |
| Computational Methods | 125 |
| Results and Discussion | 126 |
| The Thiolate-Gold Bond | 126 |
| The Amino-Gold Bond | 133 |
| Summary and Outlook | 137 |
| References | 138 |
| Ab-initio Characterization of Electronic Properties of PbTe Quantum Dots Embedded in a CdTe Matrix | 140 |
| Introduction | 140 |
| Computational Method | 142 |
| Theoretical Background | 142 |
| Computational Cost | 143 |
| Nanocrystal Construction Using Supercells | 144 |
| Results and Discussion | 145 |
| Induced Electrostatic Fields | 145 |
| Electronic Properties | 145 |
| Spatial Localization of Electrons and Holes: Quantum Confined Stark Effect (QCSE) | 149 |
| Summary and Outlook | 150 |
| References | 151 |
| Si(111)-In Nanowire Optical Response from Large-scale Ab Initio Calculations | 153 |
| Introduction | 153 |
| Computational Method | 155 |
| Results | 157 |
| Summary | 160 |
| References | 160 |
| Laser Ablation of Metals | 163 |
| Introduction | 163 |
| Physical Challenge | 163 |
| Report | 164 |
| Interaction Parameters for Aluminium | 164 |
| Heat Propagation and Two-Temperature Model | 165 |
| Simulation of Laser Ablation in Aluminium | 167 |
| Active Boundary Conditions | 168 |
| Cluster Analysis of the Gas Phase | 168 |
| Anisotropic Materials | 169 |
| Performance | 170 |
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