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 20 of 1493 for “"Topological"”.
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Examining Topological Insulators and Topological Semimetals Using First Principles Calculations
The importance and promise that topological materials hold has been recently underscored by the award of the Nobel Prize in Physics in 2016 ``for theoretical discoveries of topological phase transitions and topological phases of matter." This dissertation explores the novel qualities and useful …
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Exploring Topological Environments
… This thesis considers the SLAM problem within a topological framework, in which the world and its representation are modelled as a graph. A topological framework provides a useful model within which to explore fundamental limits to exploration and mapping. Given a topological world, it is not, in …
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Dissecting topological quantum computation
… quantum computation by braiding alone. Non-topological operations must be used in addition, whose complexity depends on the physical means by which the anyons are realized. Here we consider anyons based on spin lattice models, with single spin measurements playing the role of non-topological …
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Topological Regulation of TM4SF20
… a reaction that may play a crucial role in topological regulation of transmembrane proteins.
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Computing Interesting Topological Features
Finally, we examine a more fundamental homotopy problem in a different setting. A Rips complex is a simplicial complex defined by a set of points from some metric space where every pair of points within distance 1 is connected by an edge, and every (k + 1)-clique in that graph forms a k-simplex. We …
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Ordered Topological Tensor Products
Made available in DSpace on 2014-12-09T22:17:53Z (GMT). No. of bitstreams: 1 7000885.pdf: 1459332 bytes, checksum: 991482be6a55e8ec8bad868ad11ad8ec (MD5) Previous issue date: 1969
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Topological phases of matter
Topological phases are gapped quantum phases of matter classified beyond the paradigm of Landau's symmetry breaking theory. In particular, topologically ordered phases are topological phases with topological order. Unlike the conventional symmetry-breaking order described by local order parameter, …
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Investigating Topological Quantum Matter: Machine Learning Topological Phases, Topological Quantum Codes, Interplay of Disorder and Topology via Transport Phenomena and Phase Transitions
… exact values and 99.8% overlap on the smallest topological lattice (3 ×3), mapping out the optimal hidden-unit density α. Updating RBM weights according to spin-rotation strings lets us create, move, and fuse vortex pairs; resulting plaquette values and energy gaps match the Majorana solution. …
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Topological characteristics of IP networks
Topological analysis of the Internet is needed for developments on network planning, optimal routing algorithms, failure detection measures, and understanding business models. Accurate measurement, inference and modelling techniques are fundamental to Internet topology research. A requirement …
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Interaction effects in topological insulators
… to study the shortrange interaction effects in topological insulators. We 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 …
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Topological Structures in Ferroic Materials
The study of topological defects in condensed matter involves those regions in which the chosen order parameter ceases to vary continuously, such as points, lines, and surfaces. In ferroic materials, these defects include planar domain walls, which separate regions of uniform orientation of the …
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Topological Complexity of Configuration Spaces
… we study the homotopy invariant TC(X); the topological complexity of a space X. This invariant, introduced by Farber in [15], was originally motivated by a problem in Robotics; the motion planning problem. We study relations between the topological complexity of a space and its fundamental …
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Shape Reconstruction with Topological Priors
<p>We show topological priors play an important role in solving the inverse problem of shape reconstruction. We classify the applications into 1D, 2D, and 3D cases:</p><p>In 1D, we show that the persistent extrema of the curvature function of a closed curve are useful for shape simplication. In 2D, …
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Imaging topological superconductivity in UTe_2
… Andreev bound states, and helical or chiral topological surface states. The latter state being a prerequisite for non-Abelian fermion statistics and Majorana zero modes. Low-temperature spectroscopic-imaging scanning tunnelling microscopy is an ideal experimental platform with which to study …
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Topological semimetals and nodal superconductors
Besides topological band insulators, which have a full bulk gap, there are also gapless phases of matter that belong to the broad class of topological materials, such as topological semimetals and nodal superconductors. We systematically study these gapless topological phases described by the Bloch …
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Aspects of Topological Sigma Models
… to compute correlation functions in the topological subsector of certain N = (0, 2) nonlinear sigma models1 is. Additionally, A-twisted Landau-Ginzburg models---twisted nonlinear sigma models with superpotentials---are analyzed and related via renormalization group flow to correlation …
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