Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 18 of 18 for “"honeycomb lattice"”.
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Interaction effects in topological insulators
… start with the Kane-Mele model on the decorated honeycomb lattice and study the stability of topological insulator phase against different perturbations. We establish an adiabatic connection between a noninteracting topological insulator and a strongly interacting spin liquid in its Majorana …
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Non-Abelian Anyons in the Kitaev Honeycomb Model
… Berry phase of non-Abelian anyons in the Kitaev honeycomb lattice model. It is also a guide for experimental the realizations of the actual brading process. We give an introduction to the theory of non-Abelian anyons, briefly discussing in what kind of systems they are realized, and their …
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The Q-closeness technique: an application to isoperimetric inequalities in 2-d lattices and to the Faber-Krahn inequality
… of two variational problems on periodic lattices, by exploiting the Q-closeness technique introduced by Cicalese and Leonardi, which enables us to lift discrete problems into the the continuous framework by associating suitable domains to configurations of points. In particular, in the …
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Numerical Investigation of Exotic Phases in Quantum Lattice Models
… the investigation of exotic phases in quantum lattice models, and in particular of topological phases. A signi�cant portion of the thesis concerns the investigation of supersymmetric lattice models, which involves signi�cant use of the developed DoQO code. These are a relatively new (2003) …
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Rigidity in Frictional Particle Packings and Dynamics in Living Polymeric Packings
… for sliding and frictional contacts first on a honeycomb lattice with next-nearest neighbors, and second on a hierarchical lattice. For both lattices, I find a continuous rigidity transition. My numerically obtained transition exponents for frictional rigidity percolation on the honeycomb …
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Density Matrix Renormalization Group Studies of Strongly Correlated Systems in Low Dimensions
… DMRG has one drawback that it cannot handle the lattices in three dimension. However, many materials with layered structure like the high-Tc superconductors can be approximated by the two dimensional lattice, and some models can be simplified or transformed into lower dimensions without losing …
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Towards the development of an explosives detection system using Neutron Resonance Radiography
… or 7 [im molybdenum foils supported by a honeycomb lattice structure to increase structural integrity and provide a heat removal pathway. An argon gas cooling system is incorporated to cool the target and thus increase the neutron flux. The gas target has been shown to withstand 3.0 MeV …
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Computational study of graphene nanopore sensor for DNA sensing
… comprising of carbon atoms arranged in a honeycomb lattice, with remarkable electronic and mechanical properties. The thickness of a graphene membrane (3 A) is comparable to the vertical stacking distance between base pairs in the DNA (3.5 A) making graphene an ideal candidate for DNA …
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Spectral gaps for many-particle systems, semiclassical analysis of graphene, and quantum dynamics
… and the analogous tight-binding operator on the honeycomb lattice. Using semiclassical methods, we analyze the self-similarity in the Hofstadter butterfly and the metal/-insulator transition in both models. In the second chapter of part two, we analyze, using again semiclassical techniques, the …
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On numerical methods in quantum spin systems
… of an extended Heisenberg model on a kagome lattice. Chapter 6 studies a quantum Heisenberg model on the stuffed honeycomb lattice. Phase transitions in quantum many body systems manifest themselves as a reorganization of low energy spectra of the system. They come in a variety of forms …
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Properties of the α-T3 Model
… interpolates between the pseudospin S = 1/2 honeycomb lattice of graphene and the pseudospin S = 1 dice lattice via the parameter α. In this thesis, we explore properties of the α-T3 model, while making connections to some of the famous results for graphene in the α → 0 limit of the model. A …
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Density functional theory investigations of graphene-based heterostructures
… single crystal of carbon atoms arranged in a honeycomb lattice, is attractive for applications in nanoelectromechanical devices; in high-performance, low-power electronics, and as transparent electrodes. The present study employs Density Functional Theory (DFT) to identify the atomic and …
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A complex of interactions in rare-earth based quantum honeycomb magnets
… theoretically by models such as the Kitaev honeycomb model, experimentally verifying these states in real materials remains a significant challenge in condensed matter physics. This dissertation investigates the magnetic interactions in rare-earth honeycomb materials as potential candidates …
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Competition and unification of Kondo coherence and magnetic ordering
… we study the Kondo-Heisenberg model on the honeycomb lattice at half-filling. We study a fixed point controlling the quantum phase transition of a Kondo coherent phase to a critical phase called algebraic spin liquid. Studying such a fixed point has been proposed to be key to understanding …
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Artificial gauge fields in photonics and mechanical systems
… In graphene, an inhomogeneous strain of the lattice is equivalent to an artificial pseudo-magnetic field, and the low-energy spectrum shows the formation of relativistic pseudo-Landau levels. The second part of the thesis is therefore focussed on the photonics honeycomb lattice geometry and …
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Design and experimental observation of topological states in photonic metasurfaces
… materials) whose topological properties rely on lattice or sublattice symmetries. These structures were fabricated in a thin silicon slab and their design could be adjusted for operating in almost any optical frequency range, from visible to mid-infrared. One type of topological insulators which …
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Exploration and Functionalisation of Plasma-Exfoliated Graphene-Based Materials for Advanced Applications
… describe those containing carbon within a honeycomb lattice structure and have attracted vast interest due to their novel and advantageous properties. Whilst large amounts of work have been conducted to investigate the nature of such materials, in the context of graphite, graphene and other …