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 6 of 6 for “"Topological Index"”.
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Probing the topology in band insulators
Topological Insulator is a newly found state of matter. Unlike phases described by the traditional Landau theory of symmetry breaking, the topological phases do not break symmetry, and it is not obvious in which measurable quantity will the topological index manifest itself. In this thesis, our …
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On Topological Indices And Domination Numbers Of Graphs
Topological indices and dominating problems are popular topics in Graph Theory. There are various topological indices such as degree-based topological indices, distance-based topological indices and counting related topological indices et al. These topological indices correlate certain …
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Analysis of critical points for nonconvex optimization
… conditions on the constraint region. Using the index theory of differential topology, we are able to establish the uniqueness of the local optimum for problems in which every generalized stationary point (Karush-Kuhn-Tucker point) of the objective function is a strict local minimum and the …
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Entanglement and hall viscosity
… from the quantum Hall effect to consider other topological insulators; we use the entanglement spectrum to develop a topological classification of composite systems comprising components of topological phases in different dimensions. Our composite topological index generalizes classification of …
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Exploring Quantum Phenomena in 2D Materials: From Valley Topology and Exciton Selection Rules to Tuning Magnetic Correlations
… a gauge-invariant, quantized interband index for multiband 2D systems and uses it in two applications: A) to analyze valley topology, and B) to derive gauge-invariant exciton selection rules. Part II investigates monolayer Nb₃Cl₈, quantifies magnetic anisotropy, and shows that biaxial …
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Theory and simulations of low-dimensional flexible materials toward nano-electronic applications
… and theoretical activities aimed at exploring topological insulators in classical contexts. The aim is to develop novel types of robustness within optical and mechanical materials. Virtually all of these proposals and experiments rely on wave propagation described by Newton's or Maxwell's …